TSTP Solution File: LCL093-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 07:50:14 EDT 2022
% Result : Unsatisfiable 1.62s 2.01s
% Output : Refutation 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sun Jul 3 17:31:01 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.62/2.01 *** allocated 10000 integers for termspace/termends
% 1.62/2.01 *** allocated 10000 integers for clauses
% 1.62/2.01 *** allocated 10000 integers for justifications
% 1.62/2.01 Bliksem 1.12
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Automatic Strategy Selection
% 1.62/2.01
% 1.62/2.01 Clauses:
% 1.62/2.01 [
% 1.62/2.01 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 1.62/2.01 'is_a_theorem'( Y ) ],
% 1.62/2.01 [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z, T ) ),
% 1.62/2.01 implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ],
% 1.62/2.01 [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies( b, c )
% 1.62/2.01 , implies( a, c ) ) ) ) ) ]
% 1.62/2.01 ] .
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 percentage equality = 0.000000, percentage horn = 1.000000
% 1.62/2.01 This is a near-Horn, non-equality problem
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Options Used:
% 1.62/2.01
% 1.62/2.01 useres = 1
% 1.62/2.01 useparamod = 0
% 1.62/2.01 useeqrefl = 0
% 1.62/2.01 useeqfact = 0
% 1.62/2.01 usefactor = 1
% 1.62/2.01 usesimpsplitting = 0
% 1.62/2.01 usesimpdemod = 0
% 1.62/2.01 usesimpres = 4
% 1.62/2.01
% 1.62/2.01 resimpinuse = 1000
% 1.62/2.01 resimpclauses = 20000
% 1.62/2.01 substype = standard
% 1.62/2.01 backwardsubs = 1
% 1.62/2.01 selectoldest = 5
% 1.62/2.01
% 1.62/2.01 litorderings [0] = split
% 1.62/2.01 litorderings [1] = liftord
% 1.62/2.01
% 1.62/2.01 termordering = none
% 1.62/2.01
% 1.62/2.01 litapriori = 1
% 1.62/2.01 termapriori = 0
% 1.62/2.01 litaposteriori = 0
% 1.62/2.01 termaposteriori = 0
% 1.62/2.01 demodaposteriori = 0
% 1.62/2.01 ordereqreflfact = 0
% 1.62/2.01
% 1.62/2.01 litselect = negative
% 1.62/2.01
% 1.62/2.01 maxweight = 30000
% 1.62/2.01 maxdepth = 30000
% 1.62/2.01 maxlength = 115
% 1.62/2.01 maxnrvars = 195
% 1.62/2.01 excuselevel = 0
% 1.62/2.01 increasemaxweight = 0
% 1.62/2.01
% 1.62/2.01 maxselected = 10000000
% 1.62/2.01 maxnrclauses = 10000000
% 1.62/2.01
% 1.62/2.01 showgenerated = 0
% 1.62/2.01 showkept = 0
% 1.62/2.01 showselected = 0
% 1.62/2.01 showdeleted = 0
% 1.62/2.01 showresimp = 1
% 1.62/2.01 showstatus = 2000
% 1.62/2.01
% 1.62/2.01 prologoutput = 1
% 1.62/2.01 nrgoals = 5000000
% 1.62/2.01 totalproof = 1
% 1.62/2.01
% 1.62/2.01 Symbols occurring in the translation:
% 1.62/2.01
% 1.62/2.01 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.62/2.01 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.62/2.01 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.62/2.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.62/2.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.62/2.01 implies [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.62/2.01 'is_a_theorem' [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.62/2.01 a [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.62/2.01 b [49, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.62/2.01 c [50, 0] (w:1, o:18, a:1, s:1, b:0).
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Starting Search:
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 21876
% 1.62/2.01 Kept: 2027
% 1.62/2.01 Inuse: 420
% 1.62/2.01 Deleted: 106
% 1.62/2.01 Deletedinuse: 32
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 38415
% 1.62/2.01 Kept: 4060
% 1.62/2.01 Inuse: 618
% 1.62/2.01 Deleted: 119
% 1.62/2.01 Deletedinuse: 35
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 56873
% 1.62/2.01 Kept: 6075
% 1.62/2.01 Inuse: 777
% 1.62/2.01 Deleted: 126
% 1.62/2.01 Deletedinuse: 35
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 77653
% 1.62/2.01 Kept: 8109
% 1.62/2.01 Inuse: 971
% 1.62/2.01 Deleted: 135
% 1.62/2.01 Deletedinuse: 35
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 88664
% 1.62/2.01 Kept: 10132
% 1.62/2.01 Inuse: 1089
% 1.62/2.01 Deleted: 141
% 1.62/2.01 Deletedinuse: 38
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 98364
% 1.62/2.01 Kept: 12207
% 1.62/2.01 Inuse: 1141
% 1.62/2.01 Deleted: 144
% 1.62/2.01 Deletedinuse: 39
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 110671
% 1.62/2.01 Kept: 14403
% 1.62/2.01 Inuse: 1256
% 1.62/2.01 Deleted: 158
% 1.62/2.01 Deletedinuse: 44
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 124795
% 1.62/2.01 Kept: 16440
% 1.62/2.01 Inuse: 1343
% 1.62/2.01 Deleted: 160
% 1.62/2.01 Deletedinuse: 46
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 137319
% 1.62/2.01 Kept: 18495
% 1.62/2.01 Inuse: 1445
% 1.62/2.01 Deleted: 162
% 1.62/2.01 Deletedinuse: 48
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying clauses:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 150158
% 1.62/2.01 Kept: 20567
% 1.62/2.01 Inuse: 1525
% 1.62/2.01 Deleted: 245
% 1.62/2.01 Deletedinuse: 51
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 168721
% 1.62/2.01 Kept: 22586
% 1.62/2.01 Inuse: 1579
% 1.62/2.01 Deleted: 246
% 1.62/2.01 Deletedinuse: 52
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Intermediate Status:
% 1.62/2.01 Generated: 182687
% 1.62/2.01 Kept: 24594
% 1.62/2.01 Inuse: 1662
% 1.62/2.01 Deleted: 247
% 1.62/2.01 Deletedinuse: 52
% 1.62/2.01
% 1.62/2.01 Resimplifying inuse:
% 1.62/2.01 Done
% 1.62/2.01
% 1.62/2.01
% 1.62/2.01 Bliksems!, er is een bewijs:
% 1.62/2.01 % SZS status Unsatisfiable
% 1.62/2.01 % SZS output start Refutation
% 1.62/2.01
% 1.62/2.01 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.62/2.01 ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 1.62/2.01 , T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 1.62/2.01 )
% 1.62/2.01 .
% 1.62/2.01 clause( 2, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies(
% 1.62/2.01 b, c ), implies( a, c ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.01 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 1.62/2.01 ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z,
% 1.62/2.01 T ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 1.62/2.01 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 1.62/2.01 Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.62/2.01 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 1.62/2.01 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 1.62/2.01 implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 1.62/2.01 ) ), U ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.62/2.01 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y,
% 1.62/2.01 Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 1.62/2.01 implies( Z, T ) ) ), W ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 1.62/2.01 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 1.62/2.01 , V1 ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 1.62/2.01 Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 1.62/2.01 implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) )
% 1.62/2.01 , W ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 22, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 1.62/2.01 X, Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies(
% 1.62/2.01 Z, X ) ) ) ), W ), implies( V0, implies( V1, W ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 1.62/2.01 implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 1.62/2.01 ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) ) ]
% 1.62/2.01 )
% 1.62/2.01 .
% 1.62/2.01 clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 1.62/2.01 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.62/2.01 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 1.62/2.01 )
% 1.62/2.01 .
% 1.62/2.01 clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 1.62/2.01 )
% 1.62/2.01 .
% 1.62/2.01 clause( 61, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ),
% 1.62/2.01 implies( W, implies( X, U ) ) ), V0 ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 1.62/2.01 T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 1.62/2.01 Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 1.62/2.01 Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 1.62/2.01 )
% 1.62/2.01 .
% 1.62/2.01 clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.01 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 1.62/2.01 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 1.62/2.01 ) ), W ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 T, X ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 132, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) )
% 1.62/2.01 ), V0 ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 149, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( Y, implies( Z, implies( T, implies( U, implies( W, implies( V0
% 1.62/2.01 , Y ) ) ) ) ) ) ), V1 ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 160, [ 'is_a_theorem'( V2 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( implies( implies( X, Y ), implies( Z, T ) ), implies(
% 1.62/2.01 implies( T, X ), implies( U, implies( Z, X ) ) ) ), W ), implies( V0,
% 1.62/2.01 implies( V1, W ) ) ), V2 ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 268, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.01 implies( Z, implies( T, U ) ), W ), implies( V0, implies( U, W ) ) ) ) )
% 1.62/2.01 ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.01 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 1.62/2.01 ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 271, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.01 implies( Z, T ) ), U ), implies( W, implies( T, U ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 273, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( implies( implies( Y, implies( Z, T ) ), U ), implies( W,
% 1.62/2.01 implies( T, U ) ) ) ), V0 ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 1.62/2.01 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 T, Y ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 1.62/2.01 ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.01 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.01 implies( Y, Y ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 T, T ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 1.62/2.01 ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , X ), Y ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 T, Z ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 1.62/2.01 ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 384, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( Y, X ) ), Z ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.01 implies( Z, implies( T, X ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.01 implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.01 implies( T, implies( Y, Z ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 411, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.01 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 1.62/2.01 )
% 1.62/2.01 .
% 1.62/2.01 clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.01 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 1.62/2.01 ), Y ), Y ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 1.62/2.01 ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 428, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.01 , implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 429, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.01 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 435, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.01 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.01 .
% 1.62/2.01 clause( 438, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.62/2.02 Z ), Y ), implies( X, Y ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 440, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 .
% 1.62/2.02 clause( 449, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 451, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 1.62/2.02 ), Y ), implies( T, Y ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 464, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( Z, X ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 477, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 513, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 523, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( implies( Y, Z ), implies( T, implies( X, Z ) )
% 1.62/2.02 ) ), U ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 577, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 1.62/2.02 ), T ), implies( Z, T ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 590, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( Y, Z ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 592, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 594, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 607, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.62/2.02 implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 652, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 661, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 1.62/2.02 ) ), Y ), implies( T, Y ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 663, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 .
% 1.62/2.02 clause( 1295, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( X
% 1.62/2.02 , Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z ) ) ) ) ) )
% 1.62/2.02 ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 1767, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 implies( Z, T ), T ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 1772, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 1.62/2.02 , Z ), Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 1774, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 1836, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 1844, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 1.62/2.02 , implies( Z, T ) ), implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 1892, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( X
% 1.62/2.02 , Z ), Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 1903, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 1.62/2.02 ), Y ), implies( implies( Y, T ), T ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 1986, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( implies( X, Z ), Z ) ) ), T ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 2240, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( implies( X, Z ), Z ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 2242, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( implies( X, Z ), Z ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 .
% 1.62/2.02 clause( 2321, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 1.62/2.02 , Z ) ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 2362, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( X, Y ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 2368, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 3036, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( X, Y ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 3052, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 .
% 1.62/2.02 clause( 7041, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( implies( Y, X ), implies( Y, Z ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 7053, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z
% 1.62/2.02 , implies( Z, T ) ) ), implies( Y, implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 7470, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Y
% 1.62/2.02 , Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 7483, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, T ) ), implies( implies( T, X ), implies( Z, X ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 7581, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 1.62/2.02 ), Z ) ), implies( Y, implies( implies( Y, X ), Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 8117, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 8228, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( implies( X, Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 .
% 1.62/2.02 clause( 11598, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( implies( U, Z ), Z ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 12034, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 Z ), T ), implies( implies( T, Y ), Y ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 12036, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( implies( Z, X ), X ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 12053, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, implies( Y, T ) ) ), implies( Z, implies( Y, T ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 12214, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 12260, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 .
% 1.62/2.02 clause( 14223, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( X, implies( implies( T, Y ), implies( T, Z ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 14909, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Z, implies( T, X ) ), implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 15319, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.62/2.02 implies( Z, T ), Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 25204, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.62/2.02 .
% 1.62/2.02 clause( 25368, [] )
% 1.62/2.02 .
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 % SZS output end Refutation
% 1.62/2.02 found a proof!
% 1.62/2.02
% 1.62/2.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.62/2.02
% 1.62/2.02 initialclauses(
% 1.62/2.02 [ clause( 25370, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.62/2.02 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.62/2.02 , clause( 25371, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , clause( 25372, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 1.62/2.02 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 1.62/2.02 ] ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 1.62/2.02 ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , clause( 25370, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 1.62/2.02 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.62/2.02 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 1.62/2.02 , T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25371, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 2, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies( implies(
% 1.62/2.02 b, c ), implies( a, c ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25372, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 1.62/2.02 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25374, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z
% 1.62/2.02 , X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ),
% 1.62/2.02 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 1.62/2.02 :=( T, T ), :=( U, U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.02 , clause( 25374, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies(
% 1.62/2.02 Z, X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25375, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.62/2.02 Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 1.62/2.02 Z, T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, W ),
% 1.62/2.02 :=( U, X ), :=( W, implies( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z, T )
% 1.62/2.02 ) ) ) )] ), substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, implies(
% 1.62/2.02 Y, W ) ), :=( Z, implies( W, Z ) ), :=( T, implies( X, implies( Y, Z ) )
% 1.62/2.02 ), :=( U, U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 1.62/2.02 ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z,
% 1.62/2.02 T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25375, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.62/2.02 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 1.62/2.02 Z, T ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25377, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 implies( Y, Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z
% 1.62/2.02 ), implies( Z, T ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.62/2.02 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 1.62/2.02 Z, T ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 1.62/2.02 ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z
% 1.62/2.02 , T ) ) ) ) ), :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 1.62/2.02 , :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 1.62/2.02 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , clause( 25377, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , implies( Y, Z ) ), implies( Z, T ) ), implies( U, implies( implies( W,
% 1.62/2.02 Z ), implies( Z, T ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 1.62/2.02 , 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25378, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 1.62/2.02 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.62/2.02 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 1.62/2.02 Z, T ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, U ), :=( T, Z ),
% 1.62/2.02 :=( U, Z ), :=( W, T ), :=( V0, implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( W, implies( V0, U ) ) ), :=( Y, U ),
% 1.62/2.02 :=( Z, Z ), :=( T, implies( implies( T, U ), implies( U, Z ) ) ), :=( U,
% 1.62/2.02 X ), :=( W, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 1.62/2.02 Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25378, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25379, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.62/2.02 , implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 1.62/2.02 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 1.62/2.02 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Y ), :=( T, Z ),
% 1.62/2.02 :=( U, V0 ), :=( W, X ), :=( V0, implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 1.62/2.02 implies( V0, implies( T, implies( U, Y ) ) ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( T, implies( U, Y ) ) ), :=( Y, implies( Y, Z ) ), :=( Z
% 1.62/2.02 , V0 ), :=( T, implies( implies( X, Y ), implies( Y, Z ) ) ), :=( U, W )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 1.62/2.02 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25379, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 1.62/2.02 implies( V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25380, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 1.62/2.02 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 1.62/2.02 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( implies( Z, T ), implies( T, Y ) ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( implies( implies( U, implies( W, V0 ) ), implies( V0, V1
% 1.62/2.02 ) ), implies( V2, implies( implies( V3, V0 ), implies( V0, V1 ) ) ) ) )
% 1.62/2.02 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 1.62/2.02 implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25380, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25382, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Y, implies( implies( Z, T ), implies( T, Y ) ) ) ), U ) ) ),
% 1.62/2.02 'is_a_theorem'( U ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( implies( Z, T ), implies( T, Y ) ) ) ) ), :=( Y, U )] ),
% 1.62/2.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 1.62/2.02 ) ), U ) ) ) ] )
% 1.62/2.02 , clause( 25382, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Y, implies( implies( Z, T ), implies( T, Y ) ) ) ), U ) ) ),
% 1.62/2.02 'is_a_theorem'( U ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25383, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.62/2.02 , implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 1.62/2.02 ) ), U ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 1.62/2.02 :=( U, implies( implies( implies( implies( X, Y ), implies( Y, Z ) ), T )
% 1.62/2.02 , implies( U, implies( Z, T ) ) ) )] ), substitution( 1, [ :=( X, T ),
% 1.62/2.02 :=( Y, Z ), :=( Z, Z ), :=( T, implies( implies( X, Y ), implies( Y, Z )
% 1.62/2.02 ) ), :=( U, U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , clause( 25383, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25384, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, U ), :=( T, Y ),
% 1.62/2.02 :=( U, T ), :=( W, implies( X, implies( Y, implies( implies( Y, Z ),
% 1.62/2.02 implies( T, implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X, Z ),
% 1.62/2.02 :=( Y, U ), :=( Z, Y ), :=( T, implies( implies( Y, Z ), implies( T,
% 1.62/2.02 implies( U, Z ) ) ) ), :=( U, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y,
% 1.62/2.02 Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25384, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25386, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) )
% 1.62/2.02 , W ) ) ), 'is_a_theorem'( W ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ), :=( Y, W )] )
% 1.62/2.02 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 1.62/2.02 U, U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 1.62/2.02 implies( Z, T ) ) ), W ) ) ) ] )
% 1.62/2.02 , clause( 25386, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) )
% 1.62/2.02 , W ) ) ), 'is_a_theorem'( W ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25388, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ),
% 1.62/2.02 implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) ), V1 ) ) ),
% 1.62/2.02 'is_a_theorem'( V1 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 1.62/2.02 implies( V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 1.62/2.02 V0, implies( T, implies( U, Y ) ) ) ) ) ), :=( Y, V1 )] ), substitution(
% 1.62/2.02 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W
% 1.62/2.02 ), :=( V0, V0 )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 1.62/2.02 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 1.62/2.02 , V1 ) ) ) ] )
% 1.62/2.02 , clause( 25388, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ),
% 1.62/2.02 implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) ), V1 ) ) ),
% 1.62/2.02 'is_a_theorem'( V1 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 1.62/2.02 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25389, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 1.62/2.02 ) ), U ) ) ) ] )
% 1.62/2.02 , 1, clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 1.62/2.02 :=( U, implies( X, implies( implies( X, Y ), implies( Z, implies( T, Y )
% 1.62/2.02 ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( U, W ), implies(
% 1.62/2.02 W, implies( implies( V0, V1 ), implies( V1, W ) ) ) ) ), :=( Y, X ), :=(
% 1.62/2.02 Z, Y ), :=( T, Z ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 1.62/2.02 Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25389, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25391, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) ), W ) ) ),
% 1.62/2.02 'is_a_theorem'( W ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( implies( Y
% 1.62/2.02 , Z ), implies( T, implies( U, Z ) ) ) ) ) ), :=( Y, W )] ),
% 1.62/2.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 1.62/2.02 implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) )
% 1.62/2.02 , W ) ) ) ] )
% 1.62/2.02 , clause( 25391, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) ), W ) ) ),
% 1.62/2.02 'is_a_theorem'( W ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25392, [ 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U
% 1.62/2.02 , implies( Z, X ) ) ) ), W ), implies( V0, implies( V1, W ) ) ) ) ] )
% 1.62/2.02 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.62/2.02 :=( U, U ), :=( W, implies( implies( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ), W ), implies( V0, implies( V1, W ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( implies( implies( X, Y ), implies( Z, T ) ), implies(
% 1.62/2.02 implies( T, X ), implies( U, implies( Z, X ) ) ) ) ), :=( Y, W ), :=( Z,
% 1.62/2.02 V0 ), :=( T, V1 )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 22, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 1.62/2.02 X, Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies(
% 1.62/2.02 Z, X ) ) ) ), W ), implies( V0, implies( V1, W ) ) ) ) ] )
% 1.62/2.02 , clause( 25392, [ 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U
% 1.62/2.02 , implies( Z, X ) ) ) ), W ), implies( V0, implies( V1, W ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 1.62/2.02 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25394, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [
% 1.62/2.02 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 1.62/2.02 implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 1.62/2.02 , clause( 25394, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 1.62/2.02 )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25395, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.62/2.02 Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )
% 1.62/2.02 ] )
% 1.62/2.02 , clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( T, W ) ), :=( Y, Z ), :=( Z, X ),
% 1.62/2.02 :=( T, Y ), :=( U, implies( implies( implies( X, implies( Y, Z ) ), T ),
% 1.62/2.02 implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, T ), :=( Y, W ), :=( Z, implies( implies( T, W
% 1.62/2.02 ), Z ) ), :=( T, implies( X, implies( Y, Z ) ) ), :=( U, U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 1.62/2.02 ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25395, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.62/2.02 , Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25397, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 implies( Y, Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z
% 1.62/2.02 ), T ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.62/2.02 , Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 1.62/2.02 ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )
% 1.62/2.02 , :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 1.62/2.02 :=( T, T ), :=( U, U ), :=( W, W )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 1.62/2.02 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , clause( 25397, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , implies( Y, Z ) ), T ), implies( U, implies( implies( implies( T, W ),
% 1.62/2.02 Z ), T ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 1.62/2.02 , 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25398, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.62/2.02 , implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) )
% 1.62/2.02 ] )
% 1.62/2.02 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 1.62/2.02 ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( U, V0 ) ), :=( Y, X ), :=( Z, Y ),
% 1.62/2.02 :=( T, Z ), :=( U, T ), :=( W, implies( implies( implies( implies( X, Y )
% 1.62/2.02 , implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) )] )
% 1.62/2.02 , substitution( 1, [ :=( X, U ), :=( Y, V0 ), :=( Z, X ), :=( T, implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), :=( U, W )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25398, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25399, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 1.62/2.02 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, V0 ), :=( Z, U ), :=( T, implies(
% 1.62/2.02 W, implies( V0, U ) ) ), :=( U, Z ), :=( W, T ), :=( V0, implies( X,
% 1.62/2.02 implies( Y, implies( Z, implies( implies( T, U ), implies( U, implies( W
% 1.62/2.02 , implies( V0, U ) ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 1.62/2.02 , implies( V0, U ) ), :=( Z, U ), :=( T, W ), :=( U, implies( Z, implies(
% 1.62/2.02 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ), :=(
% 1.62/2.02 W, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25399, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25401, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ), implies( W,
% 1.62/2.02 implies( X, U ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ),
% 1.62/2.02 :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 1.62/2.02 :=( T, T ), :=( U, U ), :=( W, W )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 61, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ),
% 1.62/2.02 implies( W, implies( X, U ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , clause( 25401, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ), implies( W,
% 1.62/2.02 implies( X, U ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 1.62/2.02 , 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25402, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 1.62/2.02 ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, V0 ), :=( Y, V1 ), :=( Z, V2 ), :=( T, V3 )
% 1.62/2.02 , :=( U, V4 ), :=( W, implies( X, implies( Y, implies( implies( Z, T ),
% 1.62/2.02 implies( T, implies( U, implies( W, T ) ) ) ) ) ) )] ), substitution( 1
% 1.62/2.02 , [ :=( X, implies( V0, implies( V1, implies( implies( V1, V2 ), implies(
% 1.62/2.02 V3, implies( V4, V2 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=(
% 1.62/2.02 U, T ), :=( W, U ), :=( V0, W )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 1.62/2.02 T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25402, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25403, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 1.62/2.02 ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 1.62/2.02 :=( U, V3 ), :=( W, implies( X, implies( implies( Y, Z ), implies( Z,
% 1.62/2.02 implies( T, implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X,
% 1.62/2.02 implies( W, implies( V0, implies( implies( V0, V1 ), implies( V2, implies(
% 1.62/2.02 V3, V1 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W
% 1.62/2.02 , U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 1.62/2.02 Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25403, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25404, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 1.62/2.02 ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 1.62/2.02 :=( U, V2 ), :=( W, implies( implies( X, Y ), implies( Y, implies( Z,
% 1.62/2.02 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 1.62/2.02 W, implies( implies( W, V0 ), implies( V1, implies( V2, V0 ) ) ) ) ) ),
% 1.62/2.02 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 1.62/2.02 Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25404, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25406, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [
% 1.62/2.02 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25406, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U
% 1.62/2.02 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25407, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 1.62/2.02 implies( Z, T ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 1.62/2.02 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, Y ), :=( T, Z ),
% 1.62/2.02 :=( U, X ), :=( W, implies( implies( X, implies( Y, Z ) ), implies( T,
% 1.62/2.02 implies( U, implies( X, implies( Y, Z ) ) ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( implies( implies( W, V0 ), implies( V0, Y ) ), Z ) ),
% 1.62/2.02 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T ), :=( T, U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25407, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25408, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.62/2.02 Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 1.62/2.02 :=( U, implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U,
% 1.62/2.02 implies( Z, T ) ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Z ), :=(
% 1.62/2.02 Z, Z ), :=( T, implies( X, implies( Y, Z ) ) ), :=( U, U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 1.62/2.02 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , clause( 25408, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.62/2.02 , Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25409, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 1.62/2.02 implies( Z, T ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.62/2.02 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, T ), :=( T, implies(
% 1.62/2.02 U, Y ) ), :=( U, Z ), :=( W, implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, implies( U, Y ) ) ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 1.62/2.02 implies( W, V0 ), implies( V0, T ) ) ), :=( Y, U ), :=( Z, Y ), :=( T,
% 1.62/2.02 implies( Z, implies( T, implies( U, Y ) ) ) ), :=( U, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25409, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25411, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ), W ) ) ),
% 1.62/2.02 'is_a_theorem'( W ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.62/2.02 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 1.62/2.02 ) ), T ), implies( U, implies( Z, T ) ) ) ), :=( Y, W )] ),
% 1.62/2.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 1.62/2.02 ) ), W ) ) ) ] )
% 1.62/2.02 , clause( 25411, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ), W ) ) ),
% 1.62/2.02 'is_a_theorem'( W ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25412, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ] )
% 1.62/2.02 , clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 1.62/2.02 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 1.62/2.02 , V1 ) ) ) ] )
% 1.62/2.02 , 1, clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 1.62/2.02 :=( U, V2 ), :=( W, V3 ), :=( V0, V4 ), :=( V1, implies( X, implies( Y,
% 1.62/2.02 implies( Z, implies( T, X ) ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 1.62/2.02 implies( implies( implies( U, W ), implies( W, V0 ) ), implies( V1,
% 1.62/2.02 implies( V2, W ) ) ), implies( V3, implies( V4, implies( V1, implies( V2
% 1.62/2.02 , W ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, X ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25412, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25414, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, implies( T, X ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, X ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 1.62/2.02 , :=( Z, Z ), :=( T, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 1.62/2.02 , clause( 25414, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, implies( T, X ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25415, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 1.62/2.02 , 1, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.62/2.02 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( W, implies( V0, Y ) ) ), :=( Y, Z )
% 1.62/2.02 , :=( Z, T ), :=( T, U ), :=( U, implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, W ), :=( Y, V0 ), :=( Z, Y ), :=( T, implies( Z
% 1.62/2.02 , implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ), :=( U,
% 1.62/2.02 X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 132, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25415, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25416, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 1.62/2.02 , 1, clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 1.62/2.02 :=( U, implies( X, implies( Y, implies( Z, implies( T, implies( U,
% 1.62/2.02 implies( W, Z ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, T )
% 1.62/2.02 , :=( Z, implies( U, implies( W, Z ) ) ), :=( T, X ), :=( U, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25416, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25418, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) ) ), V0 ) ) ),
% 1.62/2.02 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, implies( U, implies( W, Z ) ) ) ) ) ) ), :=( Y, V0 )] ),
% 1.62/2.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) )
% 1.62/2.02 ), V0 ) ) ) ] )
% 1.62/2.02 , clause( 25418, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) ) ), V0 ) ) ),
% 1.62/2.02 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 1.62/2.02 , 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25420, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) )
% 1.62/2.02 ) ), V1 ) ) ), 'is_a_theorem'( V1 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 132, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, implies( U, implies( W, implies( V0, Y ) ) ) ) ) ) ) ), :=( Y, V1 )] )
% 1.62/2.02 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 1.62/2.02 U, U ), :=( W, W ), :=( V0, V0 )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 149, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( Z, implies( T, implies( U, implies( W, implies( V0
% 1.62/2.02 , Y ) ) ) ) ) ) ), V1 ) ) ) ] )
% 1.62/2.02 , clause( 25420, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, implies( T, implies( U, implies( W, implies( V0, Y ) ) ) ) )
% 1.62/2.02 ) ), V1 ) ) ), 'is_a_theorem'( V1 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 1.62/2.02 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25422, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ), implies( V0, implies( V1, W ) ) )
% 1.62/2.02 , V2 ) ) ), 'is_a_theorem'( V2 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 22, [ 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U
% 1.62/2.02 , implies( Z, X ) ) ) ), W ), implies( V0, implies( V1, W ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( implies(
% 1.62/2.02 X, Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies(
% 1.62/2.02 Z, X ) ) ) ), W ), implies( V0, implies( V1, W ) ) ) ), :=( Y, V2 )] ),
% 1.62/2.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 160, [ 'is_a_theorem'( V2 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( implies( X, Y ), implies( Z, T ) ), implies(
% 1.62/2.02 implies( T, X ), implies( U, implies( Z, X ) ) ) ), W ), implies( V0,
% 1.62/2.02 implies( V1, W ) ) ), V2 ) ) ) ] )
% 1.62/2.02 , clause( 25422, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ), implies( V0, implies( V1, W ) ) )
% 1.62/2.02 , V2 ) ) ), 'is_a_theorem'( V2 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25423, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, implies( T, U ) ), W ), implies( V0, implies( U, W ) ) ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 1.62/2.02 ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 1.62/2.02 :=( U, V0 ), :=( W, implies( X, implies( Y, implies( implies( implies( Z
% 1.62/2.02 , implies( T, U ) ), W ), implies( V0, implies( U, W ) ) ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( implies( Z, implies( T, U ) ), W ) ),
% 1.62/2.02 :=( Y, V0 ), :=( Z, implies( U, W ) ), :=( T, X ), :=( U, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 268, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, implies( T, U ) ), W ), implies( V0, implies( U, W ) ) ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 25423, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, implies( T, U ) ), W ), implies( V0, implies( U, W ) ) ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25424, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 1.62/2.02 ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 1.62/2.02 ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y ),
% 1.62/2.02 :=( U, W ), :=( W, implies( implies( implies( X, Y ), implies( Z, implies(
% 1.62/2.02 T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X ) ) ) ) ) )] )
% 1.62/2.02 , substitution( 1, [ :=( X, implies( Z, implies( T, X ) ) ), :=( Y, Y ),
% 1.62/2.02 :=( Z, W ), :=( T, implies( X, Y ) ), :=( U, U )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 1.62/2.02 ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25424, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25425, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 implies( Z, T ) ), U ), implies( W, implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 , clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 1.62/2.02 ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 268, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.62/2.02 implies( implies( Z, implies( T, U ) ), W ), implies( V0, implies( U, W )
% 1.62/2.02 ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, V0 ), :=( Y, V1 ), :=( Z, V2 ), :=( T, V3 )
% 1.62/2.02 , :=( U, V4 ), :=( W, implies( X, implies( implies( implies( Y, implies(
% 1.62/2.02 Z, T ) ), U ), implies( W, implies( T, U ) ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( implies( implies( V0, implies( V1, V2 ) ), V3 ), implies(
% 1.62/2.02 V4, implies( V2, V3 ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T
% 1.62/2.02 ), :=( W, U ), :=( V0, W )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 271, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 implies( Z, T ) ), U ), implies( W, implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25425, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.62/2.02 , implies( Z, T ) ), U ), implies( W, implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25427, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 implies( Y, implies( Z, T ) ), U ), implies( W, implies( T, U ) ) ) ), V0
% 1.62/2.02 ) ) ), 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 271, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 Y, implies( Z, T ) ), U ), implies( W, implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y,
% 1.62/2.02 implies( Z, T ) ), U ), implies( W, implies( T, U ) ) ) ) ), :=( Y, V0 )] )
% 1.62/2.02 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 1.62/2.02 U, U ), :=( W, W )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 273, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( implies( implies( Y, implies( Z, T ) ), U ), implies( W,
% 1.62/2.02 implies( T, U ) ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , clause( 25427, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 implies( Y, implies( Z, T ) ), U ), implies( W, implies( T, U ) ) ) ), V0
% 1.62/2.02 ) ) ), 'is_a_theorem'( V0 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 1.62/2.02 , 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25428, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( U, Z ) ), :=( Y, Z ), :=( Z, T ),
% 1.62/2.02 :=( T, U ), :=( U, implies( X, implies( Y, implies( Z, implies( T,
% 1.62/2.02 implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, Z ) )
% 1.62/2.02 , :=( Y, Z ), :=( Z, Z ), :=( T, T ), :=( U, X ), :=( W, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25428, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25429, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, T ), :=( Z, T ), :=( T, Z ),
% 1.62/2.02 :=( U, U ), :=( W, implies( X, implies( Y, implies( implies( Z, T ),
% 1.62/2.02 implies( U, implies( T, T ) ) ) ) ) )] ), substitution( 1, [ :=( X,
% 1.62/2.02 implies( T, T ) ), :=( Y, implies( T, Z ) ), :=( Z, implies( Z, T ) ),
% 1.62/2.02 :=( T, U ), :=( U, X ), :=( W, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 1.62/2.02 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25429, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25430, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) )
% 1.62/2.02 ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 1.62/2.02 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 1.62/2.02 W, implies( V0, implies( V1, implies( V2, implies( V3, V0 ) ) ) ) ) ) ),
% 1.62/2.02 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25430, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25431, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) )
% 1.62/2.02 ) ) ] )
% 1.62/2.02 , clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) )
% 1.62/2.02 ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 1.62/2.02 :=( U, V1 ), :=( W, V2 ), :=( V0, implies( X, implies( Y, implies( Z, X )
% 1.62/2.02 ) ) )] ), substitution( 1, [ :=( X, implies( T, implies( U, implies( W,
% 1.62/2.02 implies( V0, implies( V1, implies( V2, W ) ) ) ) ) ) ), :=( Y, X ), :=( Z
% 1.62/2.02 , Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 25431, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25433, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, X ) ) )
% 1.62/2.02 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25433, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25434, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.62/2.02 implies( Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 1.62/2.02 X, implies( implies( Y, Z ), implies( T, implies( Z, Z ) ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( U, implies( W, implies( V0, U ) ) ) )
% 1.62/2.02 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25434, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25435, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( Y, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( Y, Y ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( T, implies( U, implies( W, T ) ) ) ), :=( Y, X ), :=( Z
% 1.62/2.02 , Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( Y, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 25435, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( Y, Y ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25437, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( Y, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( Y, Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( Y, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 1.62/2.02 Y, Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25437, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( Y, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25438, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, T ), :=( Z, Z ), :=( T, implies(
% 1.62/2.02 X, implies( Y, implies( Z, implies( T, T ) ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, T ), :=( Y, T ), :=( Z, Z ), :=( T, T ), :=( U, X ), :=( W, Y )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25438, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, T ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25439, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) )
% 1.62/2.02 ) ) ] )
% 1.62/2.02 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, T ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 1.62/2.02 X, implies( Y, implies( Z, Z ) ) ) )] ), substitution( 1, [ :=( X,
% 1.62/2.02 implies( implies( T, U ), implies( W, implies( U, U ) ) ) ), :=( Y, X ),
% 1.62/2.02 :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 25439, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z )
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25440, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.62/2.02 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z )
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 1.62/2.02 X, implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( implies( Z
% 1.62/2.02 , T ), implies( U, implies( T, T ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.62/2.02 , clause( 25440, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.62/2.02 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25442, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z )
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Z ) ) )
% 1.62/2.02 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25442, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25443, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.62/2.02 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.62/2.02 X, X ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), implies(
% 1.62/2.02 T, implies( Z, Z ) ) ) ), :=( Y, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.62/2.02 , clause( 25443, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25445, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.62/2.02 'is_a_theorem'( Y ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 1.62/2.02 substitution( 1, [ :=( X, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , X ), Y ) ) ) ] )
% 1.62/2.02 , clause( 25445, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 1.62/2.02 'is_a_theorem'( Y ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.62/2.02 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25446, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, X ), Y ) ) ) ] )
% 1.62/2.02 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( Z, implies( T, Z ) ) ), :=( Y,
% 1.62/2.02 implies( X, implies( Y, implies( Z, implies( T, Z ) ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, Z ), :=( Y, implies( T, Z ) ), :=( Z, Z ), :=(
% 1.62/2.02 T, T ), :=( U, X ), :=( W, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 T, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25446, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, Z ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25447, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 1.62/2.02 ) ) ] )
% 1.62/2.02 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, X ), Y ) ) ) ] )
% 1.62/2.02 , 1, clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( T, Z ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, implies( X, implies( Y, implies(
% 1.62/2.02 Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( T, T ) ), :=( Y, X )
% 1.62/2.02 , :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 25447, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25448, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.62/2.02 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, X ), Y ) ) ) ] )
% 1.62/2.02 , 1, clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( X, implies( Y, X ) ) )] )
% 1.62/2.02 , substitution( 1, [ :=( X, implies( Z, Z ) ), :=( Y, X ), :=( Z, Y )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.62/2.02 , clause( 25448, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.62/2.02 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25450, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Y ) ) )
% 1.62/2.02 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 384, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25450, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25452, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 1.62/2.02 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 1.62/2.02 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, X ) ), Z ) ) ) ] )
% 1.62/2.02 , clause( 25452, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 1.62/2.02 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25453, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ) ) ] )
% 1.62/2.02 , clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, X ) ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, T ), :=( Z,
% 1.62/2.02 implies( implies( implies( X, Y ), X ), implies( Z, implies( T, X ) ) ) )] )
% 1.62/2.02 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 1.62/2.02 X, Y ) ), :=( U, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ) ) ] )
% 1.62/2.02 , clause( 25453, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25454, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 1.62/2.02 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 1.62/2.02 , implies( Z, implies( T, X ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( implies( T, U ), T ) )
% 1.62/2.02 , :=( Z, T ), :=( T, T ), :=( U, Z ), :=( W, U ), :=( V0, implies( X,
% 1.62/2.02 implies( Y, implies( Z, implies( implies( implies( T, U ), T ), T ) ) ) )
% 1.62/2.02 )] ), substitution( 1, [ :=( X, implies( Z, implies( implies( implies( T
% 1.62/2.02 , U ), T ), T ) ) ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25454, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25455, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( T, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 384, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( Z, U ) ), :=( Y, Y ), :=( Z, X ),
% 1.62/2.02 :=( T, implies( implies( implies( X, Y ), Z ), implies( T, implies( Y, Z
% 1.62/2.02 ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, U ), :=( Z, Y ), :=( T
% 1.62/2.02 , implies( X, Y ) ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( T, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25455, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( T, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25456, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.62/2.02 , implies( T, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, W ), :=( Z, Y ), :=( T, Z ),
% 1.62/2.02 :=( U, U ), :=( W, implies( X, implies( implies( Y, Z ), implies( implies(
% 1.62/2.02 Z, T ), implies( U, implies( Y, T ) ) ) ) ) )] ), substitution( 1, [ :=(
% 1.62/2.02 X, implies( T, W ) ), :=( Y, implies( Y, Z ) ), :=( Z, implies( implies(
% 1.62/2.02 Z, T ), implies( U, implies( Y, T ) ) ) ), :=( T, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 411, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25456, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25458, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 410, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.62/2.02 , implies( T, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( T, implies( Y, Z ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=(
% 1.62/2.02 X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25458, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ), 'is_a_theorem'( U )
% 1.62/2.02 ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25459, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 1.62/2.02 X, implies( Y, implies( implies( implies( Z, T ), Z ), Z ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( U, implies( W, implies( V0, V0 ) ) ) )
% 1.62/2.02 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25459, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25460, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 Z ), Y ), Y ) ) ) ] )
% 1.62/2.02 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.62/2.02 implies( implies( Z, T ), Z ), Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 1.62/2.02 X, implies( implies( implies( Y, Z ), Y ), Y ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( T, implies( U, implies( W, W ) ) ) ), :=( Y, X ), :=( Z
% 1.62/2.02 , Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 1.62/2.02 ), Y ), Y ) ) ) ] )
% 1.62/2.02 , clause( 25460, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.62/2.02 , Z ), Y ), Y ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25461, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 1.62/2.02 ) ) ] )
% 1.62/2.02 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 Y, Z ), Y ), Y ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 1.62/2.02 implies( implies( X, Y ), X ), X ) )] ), substitution( 1, [ :=( X,
% 1.62/2.02 implies( Z, implies( T, implies( U, U ) ) ) ), :=( Y, X ), :=( Z, Y )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 25461, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 X ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.62/2.02 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25463, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 implies( Y, Z ), Y ), Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 Y, Z ), Y ), Y ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Z
% 1.62/2.02 ), Y ), Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 1.62/2.02 ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 428, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25463, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 implies( Y, Z ), Y ), Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25465, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 Y ), X ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 1.62/2.02 , X ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ), X )
% 1.62/2.02 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 429, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 1.62/2.02 , clause( 25465, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , Y ), X ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25466, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 429, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.62/2.02 , Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, U ), :=( Z,
% 1.62/2.02 implies( X, implies( implies( implies( implies( Y, Z ), T ), Z ), implies(
% 1.62/2.02 Y, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), U )
% 1.62/2.02 ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Y, Z ) ), :=( U, X ), :=( W,
% 1.62/2.02 T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 435, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25466, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25467, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 1.62/2.02 , Z ), Y ), implies( X, Y ) ) ) ] )
% 1.62/2.02 , clause( 429, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 435, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, implies( implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( implies( implies( T, U ), T ), T ) ),
% 1.62/2.02 :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 438, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 1.62/2.02 Z ), Y ), implies( X, Y ) ) ) ] )
% 1.62/2.02 , clause( 25467, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 1.62/2.02 ), Z ), Y ), implies( X, Y ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25469, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ), 'is_a_theorem'( T
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 438, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 Y ), Z ), Y ), implies( X, Y ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 1.62/2.02 Z ), Y ), implies( X, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 1.62/2.02 ), :=( Y, Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 440, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25469, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 1.62/2.02 implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ), 'is_a_theorem'( T
% 1.62/2.02 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25470, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 1.62/2.02 , clause( 428, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( Y, U ) ), :=( Y, X ), :=( Z, T ),
% 1.62/2.02 :=( T, implies( implies( X, Y ), implies( Z, implies( implies( implies( X
% 1.62/2.02 , T ), X ), Y ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, U ), :=(
% 1.62/2.02 Z, implies( implies( X, T ), X ) ), :=( T, X ), :=( U, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 449, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 1.62/2.02 , clause( 25470, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25471, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 Z ), Y ), implies( T, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, X ) ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 449, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, implies( X, implies(
% 1.62/2.02 implies( implies( Y, Z ), Y ), implies( T, Y ) ) ) )] ), substitution( 1
% 1.62/2.02 , [ :=( X, Y ), :=( Y, implies( T, Y ) ), :=( Z, X ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 451, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 1.62/2.02 ), Y ), implies( T, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 25471, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.62/2.02 , Z ), Y ), implies( T, Y ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25472, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( Z, X ) ) ) ] )
% 1.62/2.02 , clause( 428, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 451, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 Y, Z ), Y ), implies( T, Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( T, implies( implies( implies( U, W ), U ), U ) ) ), :=(
% 1.62/2.02 Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 464, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( Z, X ) ) ) ] )
% 1.62/2.02 , clause( 25472, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( Z, X ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25474, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 Y ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 464, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 1.62/2.02 , implies( Z, X ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( Z, X ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.62/2.02 , Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25474, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , Y ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25475, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 1.62/2.02 implies( X, implies( X, Y ) ), implies( Z, implies( T, implies( X, Y ) )
% 1.62/2.02 ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z
% 1.62/2.02 , T ), :=( T, X ), :=( U, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 477, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25475, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25476, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 411, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 1.62/2.02 implies( implies( Z, T ), implies( U, implies( Y, T ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 1.62/2.02 implies( X, Y ), implies( implies( Y, Z ), implies( T, implies( X, Z ) )
% 1.62/2.02 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( U, W ), U
% 1.62/2.02 ), implies( V0, U ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )
% 1.62/2.02 ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 513, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25476, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.02 implies( Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25478, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Y, Z ), implies( T, implies( X, Z ) ) ) ), U ) ) ),
% 1.62/2.02 'is_a_theorem'( U ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 513, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.02 implies( Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Y, Z ), implies( T, implies( X, Z ) ) ) ) ), :=( Y, U )] ),
% 1.62/2.02 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 523, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( implies( Y, Z ), implies( T, implies( X, Z ) )
% 1.62/2.02 ) ), U ) ) ) ] )
% 1.62/2.02 , clause( 25478, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Y, Z ), implies( T, implies( X, Z ) ) ) ), U ) ) ),
% 1.62/2.02 'is_a_theorem'( U ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25479, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 , clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 477, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 1.62/2.02 , implies( Z, implies( T, implies( X, Y ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 1.62/2.02 implies( Z, T ), U ) ), :=( U, implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( T, U ) ) ) ) )] ), substitution( 1, [ :=(
% 1.62/2.02 X, implies( implies( Z, T ), U ) ), :=( Y, implies( T, U ) ), :=( Z, X )
% 1.62/2.02 , :=( T, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 577, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25479, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25480, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 Z ), T ), implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 577, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.62/2.02 implies( implies( Z, T ), U ), implies( T, U ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 1.62/2.02 :=( U, implies( X, implies( implies( implies( Y, Z ), T ), implies( Z, T
% 1.62/2.02 ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( U, W )
% 1.62/2.02 , V0 ), implies( V1, implies( W, V0 ) ) ) ), :=( Y, X ), :=( Z, Y ), :=(
% 1.62/2.02 T, Z ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 1.62/2.02 ), T ), implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , clause( 25480, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.62/2.02 , Z ), T ), implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25481, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( Y, Z ) ) ) ] )
% 1.62/2.02 , clause( 412, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( T, implies( Y, Z ) ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 Y, Z ), T ), implies( Z, T ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 1.62/2.02 :=( U, implies( implies( implies( X, Y ), Z ), implies( Y, Z ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( implies( implies( T, U ), W ), implies(
% 1.62/2.02 V0, implies( U, W ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 590, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( Y, Z ) ) ) ] )
% 1.62/2.02 , clause( 25481, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( Y, Z ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25483, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 590, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.62/2.02 , implies( Y, Z ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.62/2.02 , Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 592, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25483, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25484, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 592, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 513, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.02 implies( Y, Z ), implies( T, implies( X, Z ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( T, implies( implies( implies( U,
% 1.62/2.02 X ), Y ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( U, X
% 1.62/2.02 ), Y ) ), :=( Y, implies( X, Y ) ), :=( Z, Z ), :=( T, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 594, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25484, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25485, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 466, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 594, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 1.62/2.02 , implies( T, implies( implies( implies( U, X ), Y ), Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 1.62/2.02 X, implies( implies( implies( Y, implies( Z, T ) ), Z ), implies( U, Z )
% 1.62/2.02 ) ) )] ), substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, Z ), :=( Z
% 1.62/2.02 , implies( U, Z ) ), :=( T, X ), :=( U, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 607, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25485, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.62/2.02 , implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25486, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.62/2.02 implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 61, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ),
% 1.62/2.02 implies( W, implies( X, U ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 1.62/2.02 , X ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z ),
% 1.62/2.02 :=( U, implies( Z, Y ) ), :=( W, implies( X, Y ) ), :=( V0, implies(
% 1.62/2.02 implies( X, Y ), implies( X, implies( Z, Y ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( implies( X, Y ), implies( X, implies( Z, Y ) ) ) ), :=(
% 1.62/2.02 Y, implies( Z, Y ) )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.62/2.02 implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 25486, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.62/2.02 implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25488, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( X, implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.62/2.02 implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( X,
% 1.62/2.02 implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 1.62/2.02 Y, Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 652, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25488, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( X, implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25489, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 1.62/2.02 Z ) ), Y ), implies( T, Y ) ) ) ] )
% 1.62/2.02 , clause( 61, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ), U ),
% 1.62/2.02 implies( W, implies( X, U ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 607, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 Y, implies( Z, T ) ), Z ), implies( U, Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 1.62/2.02 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( implies( implies( X, implies(
% 1.62/2.02 Y, Z ) ), Y ), implies( T, Y ) ) )] ), substitution( 1, [ :=( X, implies(
% 1.62/2.02 implies( implies( implies( U, W ), implies( V0, implies( V1, W ) ) ), V2
% 1.62/2.02 ), implies( V3, implies( U, V2 ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z
% 1.62/2.02 ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 661, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 1.62/2.02 ) ), Y ), implies( T, Y ) ) ) ] )
% 1.62/2.02 , clause( 25489, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 1.62/2.02 , Z ) ), Y ), implies( T, Y ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25491, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 661, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.62/2.02 Y, Z ) ), Y ), implies( T, Y ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 1.62/2.02 ) ), Y ), implies( T, Y ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 1.62/2.02 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 663, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25491, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ), 'is_a_theorem'( U )
% 1.62/2.02 ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25492, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.62/2.02 X, Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z ) ) ) ) ) )
% 1.62/2.02 ] )
% 1.62/2.02 , clause( 663, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, U ),
% 1.62/2.02 :=( U, implies( implies( X, implies( Y, implies( X, Z ) ) ), implies( T,
% 1.62/2.02 implies( U, implies( Y, implies( X, Z ) ) ) ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( Y, implies( X, Z ) ) ), :=( Y, X ), :=( Z, U ), :=( T, X
% 1.62/2.02 ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1295, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( X
% 1.62/2.02 , Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z ) ) ) ) ) )
% 1.62/2.02 ] )
% 1.62/2.02 , clause( 25492, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.62/2.02 X, Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z ) ) ) ) ) )
% 1.62/2.02 ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25493, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( Z, T ), T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 652, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( X, implies( Z, Y ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 1295, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( X, Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z )
% 1.62/2.02 ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( Z, T ) ),
% 1.62/2.02 :=( T, implies( X, implies( Y, implies( Z, implies( implies( Z, T ), T )
% 1.62/2.02 ) ) ) )] ), substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, Z ),
% 1.62/2.02 :=( Z, T ), :=( T, X ), :=( U, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1767, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 1.62/2.02 implies( Z, T ), T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25493, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( Z, T ), T ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25494, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Y, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 149, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, implies(
% 1.62/2.02 V0, Y ) ) ) ) ) ) ), V1 ) ) ) ] )
% 1.62/2.02 , 1, clause( 1767, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 1.62/2.02 implies( implies( Z, T ), T ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 1.62/2.02 :=( U, V1 ), :=( W, V2 ), :=( V0, V3 ), :=( V1, implies( X, implies( Y,
% 1.62/2.02 implies( implies( Y, Z ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 1.62/2.02 T, implies( U, implies( W, implies( V0, implies( V1, implies( V2, implies(
% 1.62/2.02 V3, U ) ) ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1772, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 1.62/2.02 , Z ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25494, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Y, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25495, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 1.62/2.02 ) ) ] )
% 1.62/2.02 , clause( 149, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, implies(
% 1.62/2.02 V0, Y ) ) ) ) ) ) ), V1 ) ) ) ] )
% 1.62/2.02 , 1, clause( 1772, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.62/2.02 implies( Y, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 1.62/2.02 :=( U, V0 ), :=( W, V1 ), :=( V0, V2 ), :=( V1, implies( X, implies(
% 1.62/2.02 implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=( X, implies( Z,
% 1.62/2.02 implies( T, implies( U, implies( W, implies( V0, implies( V1, implies( V2
% 1.62/2.02 , T ) ) ) ) ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1774, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 25495, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 1.62/2.02 ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.62/2.02 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25497, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 1774, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 Y ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 1.62/2.02 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1836, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.62/2.02 , clause( 25497, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25498, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Z, implies( Z, T ) ), implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 1836, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 1295, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( X, Z ) ) ), implies( T, implies( U, implies( Y, implies( X, Z )
% 1.62/2.02 ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( Z, T ) ), :=( Z,
% 1.62/2.02 implies( X, implies( Y, implies( implies( Z, implies( Z, T ) ), implies(
% 1.62/2.02 Z, T ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, implies( Z,
% 1.62/2.02 implies( Z, T ) ) ), :=( Z, T ), :=( T, X ), :=( U, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1844, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 1.62/2.02 , implies( Z, T ) ), implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25498, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 Z, implies( Z, T ) ), implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25499, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 X, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 1836, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.62/2.02 implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, implies( X, implies(
% 1.62/2.02 Y, implies( implies( X, Z ), Z ) ) ) )] ), substitution( 1, [ :=( X, X )
% 1.62/2.02 , :=( Y, implies( implies( X, Z ), Z ) ), :=( Z, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1892, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( X
% 1.62/2.02 , Z ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25499, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 X, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25500, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 Z ), Y ), implies( implies( Y, T ), T ) ) ) ) ] )
% 1.62/2.02 , clause( 1836, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 449, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 1.62/2.02 implies( implies( implies( X, T ), X ), Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, implies( X, implies(
% 1.62/2.02 implies( implies( Y, Z ), Y ), implies( implies( Y, T ), T ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, Y ), :=( Y, implies( implies( Y, T ), T ) ),
% 1.62/2.02 :=( Z, X ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1903, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 1.62/2.02 ), Y ), implies( implies( Y, T ), T ) ) ) ) ] )
% 1.62/2.02 , clause( 25500, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.62/2.02 , Z ), Y ), implies( implies( Y, T ), T ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25502, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( implies( X, Z ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 1892, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.62/2.02 implies( X, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( implies( X
% 1.62/2.02 , Z ), Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 1.62/2.02 ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 1986, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( Y, implies( implies( X, Z ), Z ) ) ), T ) ) ) ] )
% 1.62/2.02 , clause( 25502, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( implies( X, Z ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25503, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( implies( X, Z ), Z ) ) ) ] )
% 1.62/2.02 , clause( 1836, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 1903, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 Y, Z ), Y ), implies( implies( Y, T ), T ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, implies( implies(
% 1.62/2.02 implies( X, Y ), X ), implies( implies( X, Z ), Z ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( T, implies( implies( T, U ), U ) ) ),
% 1.62/2.02 :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 2240, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( implies( X, Z ), Z ) ) ) ] )
% 1.62/2.02 , clause( 25503, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( implies( X, Z ), Z ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25505, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 1.62/2.02 Y ), X ), implies( implies( X, Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 2240, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 1.62/2.02 , implies( implies( X, Z ), Z ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 1.62/2.02 implies( implies( X, Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=(
% 1.62/2.02 X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 2242, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( implies( X, Z ), Z ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25505, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 1.62/2.02 , Y ), X ), implies( implies( X, Z ), Z ) ), T ) ) ), 'is_a_theorem'( T )
% 1.62/2.02 ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25506, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 1.62/2.02 Y, Z ) ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 1836, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 1844, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.62/2.02 implies( Z, implies( Z, T ) ), implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, implies( X, implies(
% 1.62/2.02 implies( Y, implies( Y, Z ) ), implies( Y, Z ) ) ) )] ), substitution( 1
% 1.62/2.02 , [ :=( X, implies( T, implies( implies( T, U ), U ) ) ), :=( Y, X ),
% 1.62/2.02 :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 2321, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 1.62/2.02 , Z ) ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25506, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 1.62/2.02 Y, Z ) ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25507, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( X, Y ) ) ) ] )
% 1.62/2.02 , clause( 160, [ 'is_a_theorem'( V2 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( implies( X, Y ), implies( Z, T ) ), implies(
% 1.62/2.02 implies( T, X ), implies( U, implies( Z, X ) ) ) ), W ), implies( V0,
% 1.62/2.02 implies( V1, W ) ) ), V2 ) ) ) ] )
% 1.62/2.02 , 1, clause( 2321, [ 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.62/2.02 implies( Y, Z ) ), implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 1.62/2.02 :=( U, V0 ), :=( W, V1 ), :=( V0, V2 ), :=( V1, V3 ), :=( V2, implies(
% 1.62/2.02 implies( X, implies( X, Y ) ), implies( X, Y ) ) )] ), substitution( 1, [
% 1.62/2.02 :=( X, implies( implies( implies( implies( implies( Z, T ), implies( U,
% 1.62/2.02 W ) ), implies( implies( W, Z ), implies( V0, implies( U, Z ) ) ) ), V1 )
% 1.62/2.02 , implies( V2, implies( V3, V1 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 2362, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( X, Y ) ) ) ] )
% 1.62/2.02 , clause( 25507, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( X, Y ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.62/2.02 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25509, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.62/2.02 X, Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 2362, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 1.62/2.02 , implies( X, Y ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 1.62/2.02 , Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 2368, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.62/2.02 , clause( 25509, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.62/2.02 X, Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25510, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( X, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 2368, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 1.62/2.02 , 1, clause( 629, [ 'is_a_theorem'( implies( implies( X, Y ), implies( X,
% 1.62/2.02 implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 1.62/2.02 , implies( X, Y ) ), implies( Z, implies( X, Y ) ) ) )] ), substitution(
% 1.62/2.02 1, [ :=( X, implies( X, implies( X, Y ) ) ), :=( Y, implies( X, Y ) ),
% 1.62/2.02 :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 3036, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( X, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 25510, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( X, Y ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25512, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.62/2.02 X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 3036, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 1.62/2.02 , implies( Z, implies( X, Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( X, Y ) ),
% 1.62/2.02 implies( Z, implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=(
% 1.62/2.02 X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 3052, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25512, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 1.62/2.02 X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 1.62/2.02 )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25513, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( implies( Y, X ), implies( Y, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 2242, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), X ), implies( implies( X, Z ), Z ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 1.62/2.02 ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 1.62/2.02 implies( X, implies( Y, Z ) ), implies( T, implies( implies( Y, X ),
% 1.62/2.02 implies( Y, Z ) ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z ) ),
% 1.62/2.02 :=( Y, Y ), :=( Z, implies( Y, X ) ), :=( T, X ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 7041, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( implies( Y, X ), implies( Y, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25513, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( T, implies( implies( Y, X ), implies( Y, Z ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25514, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 1.62/2.02 Z, implies( Z, T ) ) ), implies( Y, implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 3052, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 7041, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 1.62/2.02 , implies( T, implies( implies( Y, X ), implies( Y, Z ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, implies(
% 1.62/2.02 X, implies( implies( Y, implies( Z, implies( Z, T ) ) ), implies( Y,
% 1.62/2.02 implies( Z, T ) ) ) ) )] ), substitution( 1, [ :=( X, implies( Z, implies(
% 1.62/2.02 Z, T ) ) ), :=( Y, Y ), :=( Z, implies( Z, T ) ), :=( T, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 7053, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Z
% 1.62/2.02 , implies( Z, T ) ) ), implies( Y, implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25514, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 1.62/2.02 Z, implies( Z, T ) ) ), implies( Y, implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25515, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.62/2.02 Y, Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 273, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( implies( Y, implies( Z, T ) ), U ), implies( W,
% 1.62/2.02 implies( T, U ) ) ) ), V0 ) ) ) ] )
% 1.62/2.02 , 1, clause( 7053, [ 'is_a_theorem'( implies( X, implies( implies( Y,
% 1.62/2.02 implies( Z, implies( Z, T ) ) ), implies( Y, implies( Z, T ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 1.62/2.02 :=( U, V1 ), :=( W, V2 ), :=( V0, implies( implies( X, implies( Y,
% 1.62/2.02 implies( Y, Z ) ) ), implies( X, implies( Y, Z ) ) ) )] ), substitution(
% 1.62/2.02 1, [ :=( X, implies( T, implies( implies( implies( U, implies( W, V0 ) )
% 1.62/2.02 , V1 ), implies( V2, implies( V0, V1 ) ) ) ) ), :=( Y, X ), :=( Z, Y ),
% 1.62/2.02 :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 7470, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( Y
% 1.62/2.02 , Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25515, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.62/2.02 Y, Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25516, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, T ) ), implies( implies( T, X ), implies( Z, X ) ) ) ) ] )
% 1.62/2.02 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 7470, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.02 implies( Y, Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.62/2.02 :=( U, implies( T, X ) ), :=( W, implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( Z, X ) ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( implies( X, Y ), implies( Z, T ) ) ),
% 1.62/2.02 :=( Y, implies( T, X ) ), :=( Z, implies( Z, X ) )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 7483, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, T ) ), implies( implies( T, X ), implies( Z, X ) ) ) ) ] )
% 1.62/2.02 , clause( 25516, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( Z, X ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25517, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y,
% 1.62/2.02 X ), Z ) ), implies( Y, implies( implies( Y, X ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 440, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 7483, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, T ) ), implies( implies( T, X ), implies( Z, X ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 1.62/2.02 implies( X, implies( implies( Y, X ), Z ) ), implies( Y, implies( implies(
% 1.62/2.02 Y, X ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Y, X )
% 1.62/2.02 , Z ) ), :=( Y, X ), :=( Z, Y ), :=( T, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 7581, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, X
% 1.62/2.02 ), Z ) ), implies( Y, implies( implies( Y, X ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25517, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 1.62/2.02 , X ), Z ) ), implies( Y, implies( implies( Y, X ), Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25518, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 1986, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( Y, implies( implies( X, Z ), Z ) ) ), T ) ) ) ] )
% 1.62/2.02 , 1, clause( 7581, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 Y, X ), Z ) ), implies( Y, implies( implies( Y, X ), Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 1.62/2.02 :=( T, implies( X, implies( implies( X, Y ), implies( implies( Y, Z ), Z
% 1.62/2.02 ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, implies(
% 1.62/2.02 implies( Y, Z ), Z ) )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 8117, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , clause( 25518, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25520, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 X, Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 8117, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Y, Z ), Z ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Y, Z ), Z ) ) ) ), :=( Y, T )] ), substitution( 1, [
% 1.62/2.02 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 8228, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 1.62/2.02 , implies( implies( X, Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25520, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 1.62/2.02 X, Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 1.62/2.02 )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25521, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( implies( U, Z ), Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 8228, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( X, Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 1.62/2.02 implies( T, X ) ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( Z, T ) ), :=( Y, U ), :=( Z, Z ),
% 1.62/2.02 :=( T, implies( X, implies( Y, implies( implies( implies( Z, T ), U ),
% 1.62/2.02 implies( implies( U, Z ), Z ) ) ) ) )] ), substitution( 1, [ :=( X, Z ),
% 1.62/2.02 :=( Y, T ), :=( Z, implies( implies( Z, T ), U ) ), :=( T, implies( U, Z
% 1.62/2.02 ) ), :=( U, X ), :=( W, Y )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 11598, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( implies( U, Z ), Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25521, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 1.62/2.02 implies( Z, T ), U ), implies( implies( U, Z ), Z ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.02 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25522, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 Z ), T ), implies( implies( T, Y ), Y ) ) ) ) ] )
% 1.62/2.02 , clause( 8228, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( X, Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 11598, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 1.62/2.02 implies( implies( Z, T ), U ), implies( implies( U, Z ), Z ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 1.62/2.02 X, implies( implies( implies( Y, Z ), T ), implies( implies( T, Y ), Y )
% 1.62/2.02 ) ) )] ), substitution( 1, [ :=( X, implies( U, implies( implies( U, W )
% 1.62/2.02 , implies( implies( W, V0 ), V0 ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z
% 1.62/2.02 ), :=( U, T )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 12034, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 1.62/2.02 Z ), T ), implies( implies( T, Y ), Y ) ) ) ) ] )
% 1.62/2.02 , clause( 25522, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 1.62/2.02 , Z ), T ), implies( implies( T, Y ), Y ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25523, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( implies( Z, X ), X ) ) ) ] )
% 1.62/2.02 , clause( 8228, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 X, implies( implies( X, Y ), implies( implies( Y, Z ), Z ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 12034, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 1.62/2.02 Y, Z ), T ), implies( implies( T, Y ), Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 1.62/2.02 implies( implies( X, Y ), Z ), implies( implies( Z, X ), X ) ) )] ),
% 1.62/2.02 substitution( 1, [ :=( X, implies( T, implies( implies( T, U ), implies(
% 1.62/2.02 implies( U, W ), W ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 12036, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( implies( Z, X ), X ) ) ) ] )
% 1.62/2.02 , clause( 25523, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 1.62/2.02 implies( implies( Z, X ), X ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25524, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, implies( Y, T ) ) ), implies( Z, implies( Y, T ) ) ) ) ] )
% 1.62/2.02 , clause( 663, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 12036, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 1.62/2.02 ), implies( implies( Z, X ), X ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X ),
% 1.62/2.02 :=( U, implies( implies( implies( X, Y ), implies( Z, implies( Y, T ) ) )
% 1.62/2.02 , implies( Z, implies( Y, T ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 1.62/2.02 Z, implies( Y, T ) ) ), :=( Y, Y ), :=( Z, implies( X, Y ) )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 12053, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 1.62/2.02 Z, implies( Y, T ) ) ), implies( Z, implies( Y, T ) ) ) ) ] )
% 1.62/2.02 , clause( 25524, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( Y, T ) ) ), implies( Z, implies( Y, T ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25525, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 1.62/2.02 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 1.62/2.02 , 1, clause( 12053, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( Z, implies( Y, T ) ) ), implies( Z, implies( Y, T ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, X ),
% 1.62/2.02 :=( U, implies( Z, X ) ), :=( W, implies( implies( X, Y ), implies(
% 1.62/2.02 implies( Z, X ), implies( Z, Y ) ) ) )] ), substitution( 1, [ :=( X,
% 1.62/2.02 implies( Y, T ) ), :=( Y, implies( Z, X ) ), :=( Z, implies( X, Y ) ),
% 1.62/2.02 :=( T, implies( Z, Y ) )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 12214, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , clause( 25525, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25527, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.62/2.02 ) ] )
% 1.62/2.02 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 1.62/2.02 , ~( 'is_a_theorem'( X ) ) ] )
% 1.62/2.02 , 2, clause( 12214, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Z, X ), implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 1.62/2.02 ), :=( Y, Y ), :=( Z, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 12260, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , clause( 25527, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 1.62/2.02 implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T
% 1.62/2.02 ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25528, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( X, implies( implies( T, Y ), implies( T, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 12260, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 12214, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.02 implies( Z, X ), implies( Z, Y ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 1.62/2.02 implies( X, implies( Y, Z ) ), implies( X, implies( implies( T, Y ),
% 1.62/2.02 implies( T, Z ) ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z ) ),
% 1.62/2.02 :=( Y, implies( implies( T, Y ), implies( T, Z ) ) ), :=( Z, X )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 14223, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( X, implies( implies( T, Y ), implies( T, Z ) ) ) ) ) ] )
% 1.62/2.02 , clause( 25528, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 1.62/2.02 implies( X, implies( implies( T, Y ), implies( T, Z ) ) ) ) ) ] )
% 1.62/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 resolution(
% 1.62/2.02 clause( 25529, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Z, implies( T, X ) ), implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.02 , clause( 12260, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.02 implies( X, Y ), implies( implies( Z, X ), implies( Z, Y ) ) ), T ) ) ) ]
% 1.62/2.02 )
% 1.62/2.02 , 1, clause( 14223, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z )
% 1.62/2.02 ), implies( X, implies( implies( T, Y ), implies( T, Z ) ) ) ) ) ] )
% 1.62/2.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 1.62/2.02 implies( X, Y ), implies( implies( Z, implies( T, X ) ), implies( Z,
% 1.62/2.02 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ),
% 1.62/2.02 :=( Y, implies( T, X ) ), :=( Z, implies( T, Y ) ), :=( T, Z )] )).
% 1.62/2.02
% 1.62/2.02
% 1.62/2.02 subsumption(
% 1.62/2.02 clause( 14909, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.02 Z, implies( T, X ) ), implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.03 , clause( 25529, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.03 implies( Z, implies( T, X ) ), implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 resolution(
% 1.62/2.03 clause( 25530, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.62/2.03 implies( Z, T ), Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.03 , clause( 429, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.03 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 1.62/2.03 , 1, clause( 14909, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.03 implies( Z, implies( T, X ) ), implies( Z, implies( T, Y ) ) ) ) ) ] )
% 1.62/2.03 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies( X
% 1.62/2.03 , implies( Y, implies( implies( Z, T ), Z ) ) ), implies( X, implies( Y,
% 1.62/2.03 Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Z, T ), Z ) ),
% 1.62/2.03 :=( Y, Z ), :=( Z, X ), :=( T, Y )] )).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 15319, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.62/2.03 implies( Z, T ), Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.03 , clause( 25530, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 1.62/2.03 implies( Z, T ), Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 resolution(
% 1.62/2.03 clause( 25531, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.03 Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.62/2.03 , clause( 523, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 1.62/2.03 implies( X, Y ), implies( implies( Y, Z ), implies( T, implies( X, Z ) )
% 1.62/2.03 ) ), U ) ) ) ] )
% 1.62/2.03 , 1, clause( 15319, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 1.62/2.03 implies( implies( Z, T ), Z ) ) ), implies( X, implies( Y, Z ) ) ) ) ] )
% 1.62/2.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 1.62/2.03 implies( X, Z ), T ) ), :=( U, implies( implies( X, Y ), implies( implies(
% 1.62/2.03 Y, Z ), implies( X, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( X, Y
% 1.62/2.03 ) ), :=( Y, implies( Y, Z ) ), :=( Z, implies( X, Z ) ), :=( T, T )] )
% 1.62/2.03 ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 25204, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 1.62/2.03 Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.62/2.03 , clause( 25531, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.03 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.62/2.03 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 resolution(
% 1.62/2.03 clause( 25532, [] )
% 1.62/2.03 , clause( 2, [ ~( 'is_a_theorem'( implies( implies( a, b ), implies(
% 1.62/2.03 implies( b, c ), implies( a, c ) ) ) ) ) ] )
% 1.62/2.03 , 0, clause( 25204, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 1.62/2.03 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 1.62/2.03 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 1.62/2.03 Z, c )] )).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 25368, [] )
% 1.62/2.03 , clause( 25532, [] )
% 1.62/2.03 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 end.
% 1.62/2.03
% 1.62/2.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.62/2.03
% 1.62/2.03 Memory use:
% 1.62/2.03
% 1.62/2.03 space for terms: 632869
% 1.62/2.03 space for clauses: 2494597
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 clauses generated: 185034
% 1.62/2.03 clauses kept: 25369
% 1.62/2.03 clauses selected: 1672
% 1.62/2.03 clauses deleted: 247
% 1.62/2.03 clauses inuse deleted: 52
% 1.62/2.03
% 1.62/2.03 subsentry: 165294
% 1.62/2.03 literals s-matched: 159914
% 1.62/2.03 literals matched: 159913
% 1.62/2.03 full subsumption: 0
% 1.62/2.03
% 1.62/2.03 checksum: 1153692981
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Bliksem ended
%------------------------------------------------------------------------------