TSTP Solution File: LCL085-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:50:08 EDT 2022
% Result : Unsatisfiable 3.52s 3.89s
% Output : Refutation 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 10:04:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.52/3.89 *** allocated 10000 integers for termspace/termends
% 3.52/3.89 *** allocated 10000 integers for clauses
% 3.52/3.89 *** allocated 10000 integers for justifications
% 3.52/3.89 Bliksem 1.12
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Automatic Strategy Selection
% 3.52/3.89
% 3.52/3.89 Clauses:
% 3.52/3.89 [
% 3.52/3.89 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 3.52/3.89 'is_a_theorem'( Y ) ],
% 3.52/3.89 [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ), implies(
% 3.52/3.89 implies( Z, X ), implies( T, X ) ) ) ) ],
% 3.52/3.89 [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) ) ) ) ]
% 3.52/3.89 ] .
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 percentage equality = 0.000000, percentage horn = 1.000000
% 3.52/3.89 This is a near-Horn, non-equality problem
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Options Used:
% 3.52/3.89
% 3.52/3.89 useres = 1
% 3.52/3.89 useparamod = 0
% 3.52/3.89 useeqrefl = 0
% 3.52/3.89 useeqfact = 0
% 3.52/3.89 usefactor = 1
% 3.52/3.89 usesimpsplitting = 0
% 3.52/3.89 usesimpdemod = 0
% 3.52/3.89 usesimpres = 4
% 3.52/3.89
% 3.52/3.89 resimpinuse = 1000
% 3.52/3.89 resimpclauses = 20000
% 3.52/3.89 substype = standard
% 3.52/3.89 backwardsubs = 1
% 3.52/3.89 selectoldest = 5
% 3.52/3.89
% 3.52/3.89 litorderings [0] = split
% 3.52/3.89 litorderings [1] = liftord
% 3.52/3.89
% 3.52/3.89 termordering = none
% 3.52/3.89
% 3.52/3.89 litapriori = 1
% 3.52/3.89 termapriori = 0
% 3.52/3.89 litaposteriori = 0
% 3.52/3.89 termaposteriori = 0
% 3.52/3.89 demodaposteriori = 0
% 3.52/3.89 ordereqreflfact = 0
% 3.52/3.89
% 3.52/3.89 litselect = negative
% 3.52/3.89
% 3.52/3.89 maxweight = 30000
% 3.52/3.89 maxdepth = 30000
% 3.52/3.89 maxlength = 115
% 3.52/3.89 maxnrvars = 195
% 3.52/3.89 excuselevel = 0
% 3.52/3.89 increasemaxweight = 0
% 3.52/3.89
% 3.52/3.89 maxselected = 10000000
% 3.52/3.89 maxnrclauses = 10000000
% 3.52/3.89
% 3.52/3.89 showgenerated = 0
% 3.52/3.89 showkept = 0
% 3.52/3.89 showselected = 0
% 3.52/3.89 showdeleted = 0
% 3.52/3.89 showresimp = 1
% 3.52/3.89 showstatus = 2000
% 3.52/3.89
% 3.52/3.89 prologoutput = 1
% 3.52/3.89 nrgoals = 5000000
% 3.52/3.89 totalproof = 1
% 3.52/3.89
% 3.52/3.89 Symbols occurring in the translation:
% 3.52/3.89
% 3.52/3.89 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.52/3.89 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 3.52/3.89 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 3.52/3.89 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.52/3.89 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.52/3.89 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.52/3.89 'is_a_theorem' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.52/3.89 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.52/3.89 b [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Starting Search:
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 64059
% 3.52/3.89 Kept: 2058
% 3.52/3.89 Inuse: 647
% 3.52/3.89 Deleted: 148
% 3.52/3.89 Deletedinuse: 35
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 210342
% 3.52/3.89 Kept: 4072
% 3.52/3.89 Inuse: 1214
% 3.52/3.89 Deleted: 188
% 3.52/3.89 Deletedinuse: 54
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 390935
% 3.52/3.89 Kept: 6072
% 3.52/3.89 Inuse: 1757
% 3.52/3.89 Deleted: 203
% 3.52/3.89 Deletedinuse: 64
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 643673
% 3.52/3.89 Kept: 8077
% 3.52/3.89 Inuse: 2279
% 3.52/3.89 Deleted: 219
% 3.52/3.89 Deletedinuse: 70
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 931516
% 3.52/3.89 Kept: 10164
% 3.52/3.89 Inuse: 2764
% 3.52/3.89 Deleted: 236
% 3.52/3.89 Deletedinuse: 70
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 1161614
% 3.52/3.89 Kept: 12166
% 3.52/3.89 Inuse: 3068
% 3.52/3.89 Deleted: 243
% 3.52/3.89 Deletedinuse: 75
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Bliksems!, er is een bewijs:
% 3.52/3.89 % SZS status Unsatisfiable
% 3.52/3.89 % SZS output start Refutation
% 3.52/3.89
% 3.52/3.89 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 3.52/3.89 ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) )
% 3.52/3.89 ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 .
% 3.52/3.89 clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 3.52/3.89 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 3.52/3.89 Z, implies( Y, Z ) ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 3.52/3.89 ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 3.52/3.89 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 3.52/3.89 X, Y ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 3.52/3.89 implies( implies( Y, Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 3.52/3.89 Z, Z ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 16, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 3.52/3.89 , Y ), implies( T, Y ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 17, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), implies( implies( T, Y ), implies(
% 3.52/3.89 U, Y ) ) ), implies( W, implies( implies( T, Y ), implies( U, Y ) ) ) ),
% 3.52/3.89 V0 ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) ) )
% 3.52/3.89 ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.52/3.89 implies( Z, X ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 27, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 3.52/3.89 implies( implies( implies( Y, Z ), Y ), implies( T, Y ) ) ), U ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 28, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 36, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 51, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 3.52/3.89 ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 53, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 56, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ) ), implies( U, implies( Z, W ) ) ),
% 3.52/3.89 implies( V0, implies( U, implies( Z, W ) ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 64, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 3.52/3.89 implies( Y, X ) ), Z ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 66, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 3.52/3.89 Y ), implies( T, Y ) ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 67, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 3.52/3.89 ), Y ), implies( T, Y ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 69, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 3.52/3.89 implies( Y, implies( implies( Z, Y ), implies( T, Y ) ) ) ), U ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 80, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 .
% 3.52/3.89 clause( 99, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 3.52/3.89 X, Y ), X ), implies( Z, X ) ), T ), implies( U, T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 104, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.89 Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 105, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 125, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( implies( X, Y ), X ), implies( Z, X ) ), T ),
% 3.52/3.89 implies( U, T ) ), W ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 140, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ), U ), implies( Z, U ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 142, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ), T ), implies( Y, T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 148, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, X
% 3.52/3.89 ), Z ), implies( T, Z ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 191, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( implies( implies( Y, X ), Z ), implies( T, Z ) ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 .
% 3.52/3.89 clause( 269, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 3.52/3.89 X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), implies( W, Y ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 .
% 3.52/3.89 clause( 444, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U
% 3.52/3.89 , T ) ), Y ), implies( W, Y ) ), V0 ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 452, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 3.52/3.89 ) ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 454, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 456, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 3.52/3.89 Z ), Y ), implies( X, Y ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 458, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 .
% 3.52/3.89 clause( 466, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.89 implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z ) ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 .
% 3.52/3.89 clause( 469, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.52/3.89 implies( Z, T ) ), Z ), Z ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 472, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 3.52/3.89 ), Y ), Y ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 477, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 3.52/3.89 ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 478, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 479, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 483, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 3.52/3.89 ) ), Y ), Y ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 485, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), Y ), Y ), T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 519, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 3.52/3.89 implies( Z, implies( X, Y ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 520, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 .
% 3.52/3.89 clause( 568, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( X
% 3.52/3.89 , Z ) ) ), implies( T, implies( Y, implies( X, Z ) ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 3.52/3.89 ), T ), implies( Z, T ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 589, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( implies( implies( Z, T ), Y ), Z ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 591, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( Y, Z ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 594, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 595, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 608, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 633, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.52/3.89 implies( Y, Z ), X ), Y ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 666, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 3.52/3.89 X, Y ), implies( Z, Y ) ), T ), X ), implies( implies( X, Y ), implies( Z
% 3.52/3.89 , Y ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 697, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.89 Z, X ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 698, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), implies( Z, X ) ), implies( T, implies( Z, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 786, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 implies( Y, Z ) ), T ), implies( Y, implies( Y, Z ) ) ), implies( X,
% 3.52/3.89 implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 789, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 3.52/3.89 , Z ) ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 797, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 3.52/3.89 implies( X, Y ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 1118, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 implies( Y, Z ) ), T ), implies( implies( Z, U ), implies( Y, Z ) ) ),
% 3.52/3.89 implies( X, implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 3528, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 3.52/3.89 X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 3541, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U
% 3.52/3.89 , T ) ), Y ), Y ), W ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 5623, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 implies( implies( Y, Z ), implies( T, Y ) ), U ) ), Y ), implies( T, Y )
% 3.52/3.89 ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 5632, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( implies( implies( Y, Z ), implies( T, Y ) )
% 3.52/3.89 , U ) ), Y ), implies( T, Y ) ), W ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 11279, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( implies( Y, T ), implies( X, Y ) ), Z ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 11512, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.89 implies( Z, T ), X ) ), implies( implies( X, Z ), implies( U, Z ) ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 .
% 3.52/3.89 clause( 11792, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), implies( implies( Z, T ), X ) ), implies(
% 3.52/3.89 implies( X, Z ), implies( U, Z ) ) ), W ) ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 13406, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 3.52/3.89 ) ) ] )
% 3.52/3.89 .
% 3.52/3.89 clause( 13916, [] )
% 3.52/3.89 .
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 % SZS output end Refutation
% 3.52/3.89 found a proof!
% 3.52/3.89
% 3.52/3.89 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.52/3.89
% 3.52/3.89 initialclauses(
% 3.52/3.89 [ clause( 13918, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 3.52/3.89 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 3.52/3.89 , clause( 13919, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , clause( 13920, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b )
% 3.52/3.89 , b ) ) ) ) ] )
% 3.52/3.89 ] ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 3.52/3.89 ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , clause( 13918, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~(
% 3.52/3.89 'is_a_theorem'( X ) ), 'is_a_theorem'( Y ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.52/3.89 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , clause( 13919, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b ) )
% 3.52/3.89 ) ) ] )
% 3.52/3.89 , clause( 13920, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b )
% 3.52/3.89 , b ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13922, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 Y ), Z ), implies( implies( Z, X ), implies( T, X ) ) ), U ) ) ),
% 3.52/3.89 'is_a_theorem'( U ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ), :=( Y, U )] ),
% 3.52/3.89 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , clause( 13922, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , Y ), Z ), implies( implies( Z, X ), implies( T, X ) ) ), U ) ) ),
% 3.52/3.89 'is_a_theorem'( U ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13923, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 3.52/3.89 , implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )
% 3.52/3.89 ] )
% 3.52/3.89 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z ),
% 3.52/3.89 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ),
% 3.52/3.89 implies( Y, T ) ), implies( U, implies( Y, T ) ) ) )] ), substitution( 1
% 3.52/3.89 , [ :=( X, implies( Y, T ) ), :=( Y, X ), :=( Z, implies( implies( X, Y )
% 3.52/3.89 , implies( Z, Y ) ) ), :=( T, U )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 13923, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 3.52/3.89 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 3.52/3.89 ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13925, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 3.52/3.89 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 3.52/3.89 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 3.52/3.89 ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) ) ),
% 3.52/3.89 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 3.52/3.89 :=( T, T ), :=( U, U )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 3.52/3.89 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 3.52/3.89 , clause( 13925, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ), implies( U,
% 3.52/3.89 implies( Y, T ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13926, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 3.52/3.89 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 3.52/3.89 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 3.52/3.89 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 3.52/3.89 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 3.52/3.89 ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, implies(
% 3.52/3.89 Y, Z ) ), :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies(
% 3.52/3.89 Y, Z ), implies( Z, implies( Y, Z ) ) ) ) )] ), substitution( 1, [ :=( X
% 3.52/3.89 , implies( T, Z ) ), :=( Y, implies( Y, Z ) ), :=( Z, Z ), :=( T, implies(
% 3.52/3.89 Z, implies( Y, Z ) ) ), :=( U, X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 3.52/3.89 Z, implies( Y, Z ) ) ) ) ) ] )
% 3.52/3.89 , clause( 13926, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13927, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 3.52/3.89 Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 3.52/3.89 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 3.52/3.89 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 3.52/3.89 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, U ), :=( T, Z ),
% 3.52/3.89 :=( U, X ), :=( W, implies( implies( implies( X, implies( Y, Z ) ),
% 3.52/3.89 implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 3.52/3.89 implies( T, Y ), implies( U, Y ) ) ) ) )] ), substitution( 1, [ :=( X,
% 3.52/3.89 implies( implies( T, Y ), implies( U, Y ) ) ), :=( Y, implies( Y, Z ) ),
% 3.52/3.89 :=( Z, implies( X, implies( Y, Z ) ) ), :=( T, W )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 3.52/3.89 ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 3.52/3.89 implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 3.52/3.89 , clause( 13927, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.52/3.89 , Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W,
% 3.52/3.89 implies( implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13928, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 3.52/3.89 implies( X, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 3.52/3.89 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 3.52/3.89 , 1, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 3.52/3.89 :=( U, V0 ), :=( W, implies( implies( X, Y ), implies( Y, implies( X, Y )
% 3.52/3.89 ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( implies(
% 3.52/3.89 Z, T ), implies( U, T ) ), implies( T, W ) ), implies( V0, implies( T, W
% 3.52/3.89 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 3.52/3.89 X, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 13928, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 3.52/3.89 implies( X, Y ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.52/3.89 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13930, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 Y, Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, implies( Y, Z ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, implies( Y, Z ) ) ) ) ), :=( Y, T )] ), substitution( 1, [
% 3.52/3.89 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X,
% 3.52/3.89 implies( implies( Y, Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ) ] )
% 3.52/3.89 , clause( 13930, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 Y, Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 3.52/3.89 )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13932, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 3.52/3.89 implies( X, Y ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 3.52/3.89 implies( X, Y ) ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=(
% 3.52/3.89 Y, Y )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 3.52/3.89 , clause( 13932, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Y, implies( X, Y ) ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13933, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, Z ) ) ) ) ] )
% 3.52/3.89 , clause( 5, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), implies( Z, Y ) ), implies( Y, T ) ),
% 3.52/3.89 implies( U, implies( Y, T ) ) ), W ) ) ) ] )
% 3.52/3.89 , 1, clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.52/3.89 , Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W,
% 3.52/3.89 implies( implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, U ), :=( T, Z ),
% 3.52/3.89 :=( U, implies( Y, Z ) ), :=( W, implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( T,
% 3.52/3.89 Z ), implies( U, Z ) ) ), :=( Y, Z ), :=( Z, Z ), :=( T, Y ), :=( U, Z )
% 3.52/3.89 , :=( W, X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 3.52/3.89 Z, Z ) ) ) ) ] )
% 3.52/3.89 , clause( 13933, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, Z ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13934, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.52/3.89 Z ), Y ), implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.52/3.89 , Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W,
% 3.52/3.89 implies( implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, U ), :=( Z, implies( Y, Z ) ),
% 3.52/3.89 :=( T, T ), :=( U, implies( X, implies( implies( implies( Y, Z ), Y ),
% 3.52/3.89 implies( T, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, U ) ),
% 3.52/3.89 :=( Y, Y ), :=( Z, Z ), :=( T, implies( Y, Z ) ), :=( U, T ), :=( W, X )] )
% 3.52/3.89 ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 16, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z )
% 3.52/3.89 , Y ), implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 13934, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.52/3.89 , Z ), Y ), implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13936, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 implies( Y, Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies(
% 3.52/3.89 W, implies( implies( T, Y ), implies( U, Y ) ) ) ), V0 ) ) ),
% 3.52/3.89 'is_a_theorem'( V0 ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 7, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.52/3.89 , Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W,
% 3.52/3.89 implies( implies( T, Y ), implies( U, Y ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 3.52/3.89 ) ), implies( implies( T, Y ), implies( U, Y ) ) ), implies( W, implies(
% 3.52/3.89 implies( T, Y ), implies( U, Y ) ) ) ) ), :=( Y, V0 )] ), substitution( 1
% 3.52/3.89 , [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W
% 3.52/3.89 )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 17, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), implies( implies( T, Y ), implies(
% 3.52/3.89 U, Y ) ) ), implies( W, implies( implies( T, Y ), implies( U, Y ) ) ) ),
% 3.52/3.89 V0 ) ) ) ] )
% 3.52/3.89 , clause( 13936, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , implies( Y, Z ) ), implies( implies( T, Y ), implies( U, Y ) ) ),
% 3.52/3.89 implies( W, implies( implies( T, Y ), implies( U, Y ) ) ) ), V0 ) ) ),
% 3.52/3.89 'is_a_theorem'( V0 ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 3.52/3.89 , 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13937, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y )
% 3.52/3.89 ) ) ] )
% 3.52/3.89 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( X, Y ), implies( Y, implies( X, Y ) ) ), Z ) ) ) ] )
% 3.52/3.89 , 1, clause( 15, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( Z, Z ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, implies( implies( X
% 3.52/3.89 , Y ), implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 3.52/3.89 Z, T ), implies( T, implies( Z, T ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y ) ) )
% 3.52/3.89 ] )
% 3.52/3.89 , clause( 13937, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y
% 3.52/3.89 ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.52/3.89 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13939, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Y, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, Y
% 3.52/3.89 ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y, Y ) )
% 3.52/3.89 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 3.52/3.89 , clause( 13939, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Y, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13940, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.52/3.89 implies( Z, X ) ) ) ] )
% 3.52/3.89 , clause( 9, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( implies( Y, Z ), implies( Z, implies( Y, Z ) ) ) ), T ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 16, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.52/3.89 , Z ), Y ), implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 3.52/3.89 implies( implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [
% 3.52/3.89 :=( X, implies( T, implies( implies( U, W ), implies( W, implies( U, W )
% 3.52/3.89 ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.52/3.89 implies( Z, X ) ) ) ] )
% 3.52/3.89 , clause( 13940, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.52/3.89 implies( Z, X ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13942, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 implies( Y, Z ), Y ), implies( T, Y ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 16, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.52/3.89 , Z ), Y ), implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Z
% 3.52/3.89 ), Y ), implies( T, Y ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 3.52/3.89 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 27, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 3.52/3.89 implies( implies( implies( Y, Z ), Y ), implies( T, Y ) ) ), U ) ) ) ] )
% 3.52/3.89 , clause( 13942, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 implies( Y, Z ), Y ), implies( T, Y ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 3.52/3.89 )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13944, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 Y ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 26, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.52/3.89 implies( Z, X ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 3.52/3.89 implies( Z, X ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 3.52/3.89 , Y ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 28, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 3.52/3.89 , clause( 13944, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , Y ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13945, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ] )
% 3.52/3.89 , clause( 22, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( X, Y ), implies( Y, Y ) ), Z ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 3.52/3.89 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Y
% 3.52/3.89 ), :=( Y, X ), :=( Z, implies( X, X ) ), :=( T, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ] )
% 3.52/3.89 , clause( 13945, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13947, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 30, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 3.52/3.89 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 3.52/3.89 , Y ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 36, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 3.52/3.89 , clause( 13947, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13948, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 3.52/3.89 ) ) ] )
% 3.52/3.89 , clause( 36, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 3.52/3.89 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 3.52/3.89 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 3.52/3.89 ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( Z, Y ) ), :=( Z, Y ),
% 3.52/3.89 :=( T, implies( X, implies( Y, implies( Z, Y ) ) ) )] ), substitution( 1
% 3.52/3.89 , [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies( Z, Y ) ), :=( U,
% 3.52/3.89 X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 51, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) ) )
% 3.52/3.89 ] )
% 3.52/3.89 , clause( 13948, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 3.52/3.89 ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13949, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.52/3.89 , clause( 36, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 3.52/3.89 , 1, clause( 51, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 3.52/3.89 ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 3.52/3.89 X, implies( Y, X ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 3.52/3.89 implies( Z, Z ), T ), implies( U, T ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 53, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.52/3.89 , clause( 13949, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.52/3.89 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13950, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ) ), implies( U, implies( Z, W ) ) ),
% 3.52/3.89 implies( V0, implies( U, implies( Z, W ) ) ) ) ) ] )
% 3.52/3.89 , clause( 17, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), implies( implies( T, Y ), implies(
% 3.52/3.89 U, Y ) ) ), implies( W, implies( implies( T, Y ), implies( U, Y ) ) ) ),
% 3.52/3.89 V0 ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, U ), :=( Y, Z ), :=( Z, W ), :=( T, Y ),
% 3.52/3.89 :=( U, T ), :=( W, X ), :=( V0, implies( implies( implies( X, implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ) ), implies( U, implies( Z, W ) ) ),
% 3.52/3.89 implies( V0, implies( U, implies( Z, W ) ) ) ) )] ), substitution( 1, [
% 3.52/3.89 :=( X, implies( U, implies( Z, W ) ) ), :=( Y, implies( implies( Y, Z ),
% 3.52/3.89 implies( T, Z ) ) ), :=( Z, implies( X, implies( implies( Y, Z ), implies(
% 3.52/3.89 T, Z ) ) ) ), :=( T, V0 )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 56, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ) ), implies( U, implies( Z, W ) ) ),
% 3.52/3.89 implies( V0, implies( U, implies( Z, W ) ) ) ) ) ] )
% 3.52/3.89 , clause( 13950, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ) ), implies( U, implies( Z, W ) ) ),
% 3.52/3.89 implies( V0, implies( U, implies( Z, W ) ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 3.52/3.89 ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13952, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 3.52/3.89 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 53, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 3.52/3.89 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 64, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 3.52/3.89 implies( Y, X ) ), Z ) ) ) ] )
% 3.52/3.89 , clause( 13952, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X )
% 3.52/3.89 ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13953, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 3.52/3.89 Z, Y ), implies( T, Y ) ) ) ) ) ] )
% 3.52/3.89 , clause( 64, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( Y, X ) ), Z ) ) ) ] )
% 3.52/3.89 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 3.52/3.89 ), implies( Z, Y ) ), implies( Y, T ) ), implies( U, implies( Y, T ) ) )
% 3.52/3.89 ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( Z, Y ), implies( T, Y ) )
% 3.52/3.89 ), :=( Y, Y ), :=( Z, implies( X, implies( Y, implies( implies( Z, Y ),
% 3.52/3.89 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ),
% 3.52/3.89 :=( Z, T ), :=( T, implies( implies( Z, Y ), implies( T, Y ) ) ), :=( U,
% 3.52/3.89 X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 66, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 3.52/3.89 Y ), implies( T, Y ) ) ) ) ) ] )
% 3.52/3.89 , clause( 13953, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 3.52/3.89 Z, Y ), implies( T, Y ) ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13954, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 3.52/3.89 Z ) ), Y ), implies( T, Y ) ) ) ] )
% 3.52/3.89 , clause( 64, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( Y, X ) ), Z ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, X ), :=( Z,
% 3.52/3.89 implies( implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ) )] )
% 3.52/3.89 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 3.52/3.89 Y, Z ) ) ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 67, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 3.52/3.89 ), Y ), implies( T, Y ) ) ) ] )
% 3.52/3.89 , clause( 13954, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.52/3.89 , Z ) ), Y ), implies( T, Y ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13956, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.52/3.89 implies( implies( Z, Y ), implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'(
% 3.52/3.89 U ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 66, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 3.52/3.89 Z, Y ), implies( T, Y ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( implies( Z
% 3.52/3.89 , Y ), implies( T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 3.52/3.89 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 69, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 3.52/3.89 implies( Y, implies( implies( Z, Y ), implies( T, Y ) ) ) ), U ) ) ) ] )
% 3.52/3.89 , clause( 13956, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.52/3.89 implies( implies( Z, Y ), implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'(
% 3.52/3.89 U ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13958, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 67, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.52/3.89 , Z ) ), Y ), implies( T, Y ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 3.52/3.89 ) ), Y ), implies( T, Y ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 3.52/3.89 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 80, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 13958, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ), 'is_a_theorem'( U )
% 3.52/3.89 ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13959, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, Y ), X ), implies( Z, X ) ), T ), implies( U, T ) ) ) ] )
% 3.52/3.89 , clause( 27, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( implies( implies( Y, Z ), Y ), implies( T, Y ) ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( T, W ) ), :=( Y, X ), :=( Z, Y ),
% 3.52/3.89 :=( T, Z ), :=( U, implies( implies( implies( implies( implies( X, Y ), X
% 3.52/3.89 ), implies( Z, X ) ), T ), implies( U, T ) ) )] ), substitution( 1, [
% 3.52/3.89 :=( X, T ), :=( Y, W ), :=( Z, implies( implies( implies( X, Y ), X ),
% 3.52/3.89 implies( Z, X ) ) ), :=( T, U )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 99, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 3.52/3.89 X, Y ), X ), implies( Z, X ) ), T ), implies( U, T ) ) ) ] )
% 3.52/3.89 , clause( 13959, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, Y ), X ), implies( Z, X ) ), T ), implies( U, T ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13960, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.89 Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 , clause( 28, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 3.52/3.89 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 3.52/3.89 ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, Y ), :=( Z
% 3.52/3.89 , implies( X, Y ) ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 104, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.89 Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 , clause( 13960, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13962, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 Y ), implies( Y, Z ) ), implies( T, implies( Y, Z ) ) ), U ) ) ),
% 3.52/3.89 'is_a_theorem'( U ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 104, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Y, Z ) ), implies( T, implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 3.52/3.89 Y, Z ) ), implies( T, implies( Y, Z ) ) ) ), :=( Y, U )] ),
% 3.52/3.89 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 105, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , clause( 13962, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , Y ), implies( Y, Z ) ), implies( T, implies( Y, Z ) ) ), U ) ) ),
% 3.52/3.89 'is_a_theorem'( U ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13964, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), implies( Z, X ) ), T ), implies( U, T ) )
% 3.52/3.89 , W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 99, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, Y ), X ), implies( Z, X ) ), T ), implies( U, T ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( implies(
% 3.52/3.89 X, Y ), X ), implies( Z, X ) ), T ), implies( U, T ) ) ), :=( Y, W )] ),
% 3.52/3.89 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 125, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( implies( X, Y ), X ), implies( Z, X ) ), T ),
% 3.52/3.89 implies( U, T ) ), W ) ) ) ] )
% 3.52/3.89 , clause( 13964, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), implies( Z, X ) ), T ), implies( U, T ) )
% 3.52/3.89 , W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13965, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ), U ), implies( Z, U ) ) ) ) ] )
% 3.52/3.89 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 56, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ) ), implies( U, implies( Z, W ) ) ),
% 3.52/3.89 implies( V0, implies( U, implies( Z, W ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, implies( implies( Y
% 3.52/3.89 , Z ), implies( T, Z ) ) ), :=( T, Z ), :=( U, implies( X, implies(
% 3.52/3.89 implies( implies( implies( Y, Z ), implies( T, Z ) ), U ), implies( Z, U
% 3.52/3.89 ) ) ) )] ), substitution( 1, [ :=( X, implies( U, W ) ), :=( Y, Y ),
% 3.52/3.89 :=( Z, Z ), :=( T, T ), :=( U, implies( implies( implies( Y, Z ), implies(
% 3.52/3.89 T, Z ) ), U ) ), :=( W, U ), :=( V0, X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 140, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ), U ), implies( Z, U ) ) ) ) ] )
% 3.52/3.89 , clause( 13965, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ), U ), implies( Z, U ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13966, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 3.52/3.89 , implies( Z, Y ) ), T ), implies( Y, T ) ) ) ] )
% 3.52/3.89 , clause( 69, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( Y, implies( implies( Z, Y ), implies( T, Y ) ) ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 140, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), implies( T, Z ) ), U ), implies( Z, U ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 3.52/3.89 :=( U, implies( implies( implies( implies( X, Y ), implies( Z, Y ) ), T )
% 3.52/3.89 , implies( Y, T ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 3.52/3.89 W, implies( implies( V0, W ), implies( V1, W ) ) ) ) ), :=( Y, X ), :=( Z
% 3.52/3.89 , Y ), :=( T, Z ), :=( U, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 142, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ), T ), implies( Y, T ) ) ) ] )
% 3.52/3.89 , clause( 13966, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 3.52/3.89 ), implies( Z, Y ) ), T ), implies( Y, T ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13967, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.52/3.89 X ), Z ), implies( T, Z ) ) ) ) ] )
% 3.52/3.89 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 142, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 Y ), implies( Z, Y ) ), T ), implies( Y, T ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( Y, X ) ),
% 3.52/3.89 :=( T, T ), :=( U, implies( X, implies( implies( implies( Y, X ), Z ),
% 3.52/3.89 implies( T, Z ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=(
% 3.52/3.89 Z, Y ), :=( T, implies( implies( implies( Y, X ), Z ), implies( T, Z ) )
% 3.52/3.89 )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 148, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, X
% 3.52/3.89 ), Z ), implies( T, Z ) ) ) ) ] )
% 3.52/3.89 , clause( 13967, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.52/3.89 , X ), Z ), implies( T, Z ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13969, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 implies( Y, X ), Z ), implies( T, Z ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 148, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 Y, X ), Z ), implies( T, Z ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, X
% 3.52/3.89 ), Z ), implies( T, Z ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X,
% 3.52/3.89 X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 191, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( implies( implies( Y, X ), Z ), implies( T, Z ) ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 13969, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 implies( Y, X ), Z ), implies( T, Z ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 3.52/3.89 )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13970, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), implies( W, Y
% 3.52/3.89 ) ) ) ] )
% 3.52/3.89 , clause( 191, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 X, implies( implies( implies( Y, X ), Z ), implies( T, Z ) ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, X ), :=( Z, T ),
% 3.52/3.89 :=( T, U ), :=( U, implies( implies( implies( implies( implies( X,
% 3.52/3.89 implies( Y, Z ) ), T ), implies( U, T ) ), Y ), implies( W, Y ) ) )] ),
% 3.52/3.89 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies(
% 3.52/3.89 implies( X, implies( Y, Z ) ), T ), implies( U, T ) ) ), :=( T, W )] )
% 3.52/3.89 ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 269, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 3.52/3.89 X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), implies( W, Y ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 13970, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), implies( W, Y
% 3.52/3.89 ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13972, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ),
% 3.52/3.89 implies( W, Y ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 269, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), implies( W, Y
% 3.52/3.89 ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( implies(
% 3.52/3.89 X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), implies( W, Y ) ) ),
% 3.52/3.89 :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 3.52/3.89 :=( T, T ), :=( U, U ), :=( W, W )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 444, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U
% 3.52/3.89 , T ) ), Y ), implies( W, Y ) ), V0 ) ) ) ] )
% 3.52/3.89 , clause( 13972, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ),
% 3.52/3.89 implies( W, Y ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 3.52/3.89 , 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13973, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 3.52/3.89 Z ) ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 105, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X ),
% 3.52/3.89 :=( U, implies( implies( implies( X, implies( Y, Z ) ), implies( T, Y ) )
% 3.52/3.89 , implies( U, implies( T, Y ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 3.52/3.89 T, Y ) ), :=( Y, implies( Y, Z ) ), :=( Z, implies( X, implies( Y, Z ) )
% 3.52/3.89 ), :=( T, U )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 452, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 3.52/3.89 ) ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 13973, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.52/3.89 , Z ) ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.89 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13974, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 452, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 Y, Z ) ), implies( T, Y ) ), implies( U, implies( T, Y ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, implies( implies( Y
% 3.52/3.89 , Z ), T ) ), :=( T, Y ), :=( U, implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) )] ), substitution( 1, [
% 3.52/3.89 :=( X, implies( Z, U ) ), :=( Y, implies( Y, Z ) ), :=( Z, T ), :=( T,
% 3.52/3.89 implies( implies( implies( Y, Z ), T ), Z ) ), :=( U, X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 454, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 , clause( 13974, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13975, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 3.52/3.89 , Z ), Y ), implies( X, Y ) ) ) ] )
% 3.52/3.89 , clause( 105, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies( Y, Z )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 454, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 implies( Y, Z ), T ), Z ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 3.52/3.89 :=( U, implies( implies( implies( implies( X, Y ), Z ), Y ), implies( X,
% 3.52/3.89 Y ) ) )] ), substitution( 1, [ :=( X, implies( implies( implies( T, U ),
% 3.52/3.89 implies( U, W ) ), implies( V0, implies( U, W ) ) ) ), :=( Y, X ), :=( Z
% 3.52/3.89 , Y ), :=( T, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 456, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 3.52/3.89 Z ), Y ), implies( X, Y ) ) ) ] )
% 3.52/3.89 , clause( 13975, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 3.52/3.89 ), Z ), Y ), implies( X, Y ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13977, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ), 'is_a_theorem'( T
% 3.52/3.89 ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 456, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 Y ), Z ), Y ), implies( X, Y ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 3.52/3.89 Z ), Y ), implies( X, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 3.52/3.89 ), :=( Y, Y ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 458, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 13977, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.89 implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ), 'is_a_theorem'( T
% 3.52/3.89 ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13978, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.89 implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z ) ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 458, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 3.52/3.89 implies( implies( X, Y ), implies( implies( X, Y ), Z ) ), implies( T,
% 3.52/3.89 implies( implies( X, Y ), Z ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 3.52/3.89 implies( X, Y ), Z ) ), :=( Y, Y ), :=( Z, implies( X, Y ) ), :=( T, T )] )
% 3.52/3.89 ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 466, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.89 implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z ) ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 13978, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z
% 3.52/3.89 ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13979, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.52/3.89 implies( Z, T ) ), Z ), Z ) ) ) ] )
% 3.52/3.89 , clause( 80, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), Y ), implies( T, Y ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 466, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z
% 3.52/3.89 ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 3.52/3.89 implies( Y, implies( Z, T ) ), Z ) ), :=( U, implies( X, implies( implies(
% 3.52/3.89 implies( Y, implies( Z, T ) ), Z ), Z ) ) )] ), substitution( 1, [ :=( X
% 3.52/3.89 , implies( Y, implies( Z, T ) ) ), :=( Y, Z ), :=( Z, Z ), :=( T, X )] )
% 3.52/3.89 ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 469, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.52/3.89 implies( Z, T ) ), Z ), Z ) ) ) ] )
% 3.52/3.89 , clause( 13979, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.52/3.89 , implies( Z, T ) ), Z ), Z ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13980, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.52/3.89 Z ), Y ), Y ) ) ) ] )
% 3.52/3.89 , clause( 28, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 3.52/3.89 , 1, clause( 466, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.89 implies( implies( X, Y ), Z ) ), implies( T, implies( implies( X, Y ), Z
% 3.52/3.89 ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( implies( Y
% 3.52/3.89 , Z ), Y ) ), :=( T, implies( X, implies( implies( implies( Y, Z ), Y ),
% 3.52/3.89 Y ) ) )] ), substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, Y ), :=(
% 3.52/3.89 Z, Y ), :=( T, X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 472, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 3.52/3.89 ), Y ), Y ) ) ) ] )
% 3.52/3.89 , clause( 13980, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.52/3.89 , Z ), Y ), Y ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13981, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 3.52/3.89 ) ) ] )
% 3.52/3.89 , clause( 458, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 472, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 Y, Z ), Y ), Y ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 3.52/3.89 implies( implies( X, Y ), X ), X ) )] ), substitution( 1, [ :=( X,
% 3.52/3.89 implies( implies( implies( implies( Z, T ), U ), T ), implies( Z, T ) ) )
% 3.52/3.89 , :=( Y, X ), :=( Z, Y )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 477, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 3.52/3.89 ) ] )
% 3.52/3.89 , clause( 13981, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 3.52/3.89 X ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.52/3.89 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13983, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 implies( Y, Z ), Y ), Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 472, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 Y, Z ), Y ), Y ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Z
% 3.52/3.89 ), Y ), Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 3.52/3.89 ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 478, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 3.52/3.89 , clause( 13983, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 implies( Y, Z ), Y ), Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13985, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 Y ), X ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 477, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 3.52/3.89 , X ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ), X )
% 3.52/3.89 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 479, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 3.52/3.89 , clause( 13985, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , Y ), X ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13986, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 3.52/3.89 Z ) ), Y ), Y ) ) ] )
% 3.52/3.89 , clause( 458, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( X, Y ), Z ), Y ), implies( X, Y ) ), T ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 469, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 Y, implies( Z, T ) ), Z ), Z ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), Y ), Y ) )] ), substitution( 1, [
% 3.52/3.89 :=( X, implies( implies( implies( implies( T, U ), W ), U ), implies( T
% 3.52/3.89 , U ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 483, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 3.52/3.89 ) ), Y ), Y ) ) ] )
% 3.52/3.89 , clause( 13986, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 3.52/3.89 , Z ) ), Y ), Y ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13988, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 implies( Y, Z ) ), Y ), Y ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 483, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 Y, Z ) ), Y ), Y ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 3.52/3.89 ) ), Y ), Y ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 3.52/3.89 ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 485, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), Y ), Y ), T ) ) ) ] )
% 3.52/3.89 , clause( 13988, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , implies( Y, Z ) ), Y ), Y ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13989, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 3.52/3.89 implies( Z, implies( X, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 479, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies( X
% 3.52/3.89 , implies( X, Y ) ), implies( Z, implies( X, Y ) ) ) )] ), substitution(
% 3.52/3.89 1, [ :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z, X ), :=( T, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 519, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 3.52/3.89 implies( Z, implies( X, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 13989, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 3.52/3.89 implies( Z, implies( X, Y ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13991, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 519, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 3.52/3.89 , implies( Z, implies( X, Y ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( X, Y ) ),
% 3.52/3.89 implies( Z, implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=(
% 3.52/3.89 X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 520, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , clause( 13991, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.89 X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ]
% 3.52/3.89 )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13992, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 3.52/3.89 X, Z ) ) ), implies( T, implies( Y, implies( X, Z ) ) ) ) ) ] )
% 3.52/3.89 , clause( 485, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, implies( Y, Z ) ), Y ), Y ), T ) ) ) ] )
% 3.52/3.89 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 3.52/3.89 implies( X, implies( Y, implies( X, Z ) ) ), implies( T, implies( Y,
% 3.52/3.89 implies( X, Z ) ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, implies(
% 3.52/3.89 X, Z ) ) ), :=( Y, X ), :=( Z, X ), :=( T, T )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 568, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies( X
% 3.52/3.89 , Z ) ) ), implies( T, implies( Y, implies( X, Z ) ) ) ) ) ] )
% 3.52/3.89 , clause( 13992, [ 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 3.52/3.89 X, Z ) ) ), implies( T, implies( Y, implies( X, Z ) ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13993, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 3.52/3.89 Z ), T ), implies( Z, T ) ) ) ) ] )
% 3.52/3.89 , clause( 191, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 X, implies( implies( implies( Y, X ), Z ), implies( T, Z ) ) ), U ) ) ) ]
% 3.52/3.89 )
% 3.52/3.89 , 1, clause( 568, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.52/3.89 implies( X, Z ) ) ), implies( T, implies( Y, implies( X, Z ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, Z ),
% 3.52/3.89 :=( U, implies( X, implies( implies( implies( Y, Z ), T ), implies( Z, T
% 3.52/3.89 ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, implies( implies( Y, Z
% 3.52/3.89 ), T ) ), :=( Z, T ), :=( T, X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 3.52/3.89 ), T ), implies( Z, T ) ) ) ) ] )
% 3.52/3.89 , clause( 13993, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 3.52/3.89 , Z ), T ), implies( Z, T ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13994, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( implies( implies( Z, T ), Y ), Z ) ) ) ) ] )
% 3.52/3.89 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 568, [ 'is_a_theorem'( implies( implies( X, implies( Y,
% 3.52/3.89 implies( X, Z ) ) ), implies( T, implies( Y, implies( X, Z ) ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, implies(
% 3.52/3.89 implies( Z, T ), Y ) ), :=( U, implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( implies( implies( Z, T ), Y ), Z ) ) ) )] ), substitution( 1, [
% 3.52/3.89 :=( X, implies( implies( Z, T ), Y ) ), :=( Y, implies( Y, Z ) ), :=( Z,
% 3.52/3.89 Z ), :=( T, X )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 589, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( implies( implies( Z, T ), Y ), Z ) ) ) ) ] )
% 3.52/3.89 , clause( 13994, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( implies( implies( Z, T ), Y ), Z ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13995, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( Y, Z ) ) ) ] )
% 3.52/3.89 , clause( 478, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 X, implies( implies( implies( Y, Z ), Y ), Y ) ), T ) ) ) ] )
% 3.52/3.89 , 1, clause( 588, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 3.52/3.89 Y, Z ), T ), implies( Z, T ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( Y, Z ) ) )] ), substitution( 1, [
% 3.52/3.89 :=( X, implies( T, implies( implies( implies( U, W ), U ), U ) ) ), :=(
% 3.52/3.89 Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 591, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( Y, Z ) ) ) ] )
% 3.52/3.89 , clause( 13995, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( Y, Z ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13996, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.89 ) ), U ) ) ) ] )
% 3.52/3.89 , 1, clause( 591, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 3.52/3.89 , implies( Y, Z ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z ),
% 3.52/3.89 :=( U, implies( X, implies( implies( X, Y ), implies( Z, Y ) ) ) )] ),
% 3.52/3.89 substitution( 1, [ :=( X, implies( Y, T ) ), :=( Y, X ), :=( Z, implies(
% 3.52/3.89 implies( X, Y ), implies( Z, Y ) ) )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 594, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ) ] )
% 3.52/3.89 , clause( 13996, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 13998, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.89 Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 591, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 3.52/3.89 , implies( Y, Z ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 3.52/3.89 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 3.52/3.89 , Y ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 595, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 3.52/3.89 , clause( 13998, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.89 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 14000, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 X, Y ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.89 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.89 , 2, clause( 594, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ),
% 3.52/3.89 implies( Z, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 3.52/3.89 Y, Y ), :=( Z, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 608, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 3.52/3.89 , implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 3.52/3.89 , clause( 14000, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 3.52/3.89 X, Y ), implies( Z, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.89 clause( 14001, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.52/3.89 implies( Y, Z ), X ), Y ) ) ) ] )
% 3.52/3.89 , clause( 125, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.89 implies( implies( implies( implies( X, Y ), X ), implies( Z, X ) ), T ),
% 3.52/3.89 implies( U, T ) ), W ) ) ) ] )
% 3.52/3.89 , 1, clause( 589, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 3.52/3.89 implies( implies( implies( Z, T ), Y ), Z ) ) ) ) ] )
% 3.52/3.89 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 3.52/3.89 :=( U, V1 ), :=( W, implies( implies( X, Y ), implies( implies( implies(
% 3.52/3.89 Y, Z ), X ), Y ) ) )] ), substitution( 1, [ :=( X, implies( implies(
% 3.52/3.89 implies( implies( implies( T, U ), T ), implies( W, T ) ), V0 ), implies(
% 3.52/3.89 V1, V0 ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 subsumption(
% 3.52/3.89 clause( 633, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 3.52/3.89 implies( Y, Z ), X ), Y ) ) ) ] )
% 3.52/3.89 , clause( 14001, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.52/3.89 implies( implies( Y, Z ), X ), Y ) ) ) ] )
% 3.52/3.89 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.89 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 resolution(
% 3.52/3.90 clause( 14002, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.90 implies( X, Y ), implies( Z, Y ) ), T ), X ), implies( implies( X, Y ),
% 3.52/3.90 implies( Z, Y ) ) ) ) ] )
% 3.52/3.90 , clause( 608, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 X, implies( implies( X, Y ), implies( Z, Y ) ) ), T ) ) ) ] )
% 3.52/3.90 , 1, clause( 633, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.52/3.90 implies( implies( Y, Z ), X ), Y ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 3.52/3.90 implies( implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), X ),
% 3.52/3.90 implies( implies( X, Y ), implies( Z, Y ) ) ) )] ), substitution( 1, [
% 3.52/3.90 :=( X, X ), :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z,
% 3.52/3.90 T )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 666, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 3.52/3.90 X, Y ), implies( Z, Y ) ), T ), X ), implies( implies( X, Y ), implies( Z
% 3.52/3.90 , Y ) ) ) ) ] )
% 3.52/3.90 , clause( 14002, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.90 implies( X, Y ), implies( Z, Y ) ), T ), X ), implies( implies( X, Y ),
% 3.52/3.90 implies( Z, Y ) ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.90 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14003, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.90 Z, X ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 3.52/3.90 , clause( 595, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 3.52/3.90 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.90 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 3.52/3.90 implies( implies( X, Y ), implies( Z, X ) ), implies( T, implies( Z, X )
% 3.52/3.90 ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) ), :=( Y, Y ), :=( Z
% 3.52/3.90 , implies( X, Y ) ), :=( T, T )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 697, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.90 Z, X ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 3.52/3.90 , clause( 14003, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.90 implies( Z, X ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.90 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14005, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 Y ), implies( Z, X ) ), implies( T, implies( Z, X ) ) ), U ) ) ),
% 3.52/3.90 'is_a_theorem'( U ) ] )
% 3.52/3.90 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.90 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.90 , 2, clause( 697, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.90 implies( Z, X ) ), implies( T, implies( Z, X ) ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 3.52/3.90 Z, X ) ), implies( T, implies( Z, X ) ) ) ), :=( Y, U )] ),
% 3.52/3.90 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 698, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( X, Y ), implies( Z, X ) ), implies( T, implies( Z, X )
% 3.52/3.90 ) ), U ) ) ) ] )
% 3.52/3.90 , clause( 14005, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.90 , Y ), implies( Z, X ) ), implies( T, implies( Z, X ) ) ), U ) ) ),
% 3.52/3.90 'is_a_theorem'( U ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14006, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 implies( Y, Z ) ), T ), implies( Y, implies( Y, Z ) ) ), implies( X,
% 3.52/3.90 implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , clause( 520, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 3.52/3.90 )
% 3.52/3.90 , 1, clause( 633, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.52/3.90 implies( implies( Y, Z ), X ), Y ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 3.52/3.90 implies( implies( implies( X, implies( Y, Z ) ), T ), implies( Y, implies(
% 3.52/3.90 Y, Z ) ) ), implies( X, implies( Y, Z ) ) ) )] ), substitution( 1, [ :=(
% 3.52/3.90 X, implies( Y, implies( Y, Z ) ) ), :=( Y, implies( X, implies( Y, Z ) )
% 3.52/3.90 ), :=( Z, T )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 786, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 implies( Y, Z ) ), T ), implies( Y, implies( Y, Z ) ) ), implies( X,
% 3.52/3.90 implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , clause( 14006, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 implies( Y, Z ) ), T ), implies( Y, implies( Y, Z ) ) ), implies( X,
% 3.52/3.90 implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.90 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14007, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 3.52/3.90 Y, Z ) ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , clause( 520, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 3.52/3.90 )
% 3.52/3.90 , 1, clause( 519, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 3.52/3.90 , implies( Z, implies( X, Y ) ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( Y, implies(
% 3.52/3.90 Y, Z ) ) ), :=( T, implies( X, implies( implies( Y, implies( Y, Z ) ),
% 3.52/3.90 implies( Y, Z ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, implies(
% 3.52/3.90 Y, Z ) ) ), :=( Y, implies( Y, Z ) ), :=( Z, X )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 789, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies( Y
% 3.52/3.90 , Z ) ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , clause( 14007, [ 'is_a_theorem'( implies( X, implies( implies( Y, implies(
% 3.52/3.90 Y, Z ) ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.52/3.90 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14008, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 3.52/3.90 implies( X, Y ) ) ) ] )
% 3.52/3.90 , clause( 520, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( X, implies( X, Y ) ), implies( Z, implies( X, Y ) ) ), T ) ) ) ]
% 3.52/3.90 )
% 3.52/3.90 , 1, clause( 789, [ 'is_a_theorem'( implies( X, implies( implies( Y,
% 3.52/3.90 implies( Y, Z ) ), implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 3.52/3.90 implies( X, implies( X, Y ) ), implies( X, Y ) ) )] ), substitution( 1, [
% 3.52/3.90 :=( X, implies( implies( Z, implies( Z, T ) ), implies( U, implies( Z, T
% 3.52/3.90 ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 797, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 3.52/3.90 implies( X, Y ) ) ) ] )
% 3.52/3.90 , clause( 14008, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 3.52/3.90 implies( X, Y ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.52/3.90 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14009, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 implies( Y, Z ) ), T ), implies( implies( Z, U ), implies( Y, Z ) ) ),
% 3.52/3.90 implies( X, implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , clause( 698, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( X, Y ), implies( Z, X ) ), implies( T, implies( Z, X )
% 3.52/3.90 ) ), U ) ) ) ] )
% 3.52/3.90 , 1, clause( 633, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 3.52/3.90 implies( implies( Y, Z ), X ), Y ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, Y ), :=( T, X ),
% 3.52/3.90 :=( U, implies( implies( implies( implies( X, implies( Y, Z ) ), T ),
% 3.52/3.90 implies( implies( Z, U ), implies( Y, Z ) ) ), implies( X, implies( Y, Z
% 3.52/3.90 ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( Z, U ), implies(
% 3.52/3.90 Y, Z ) ) ), :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 1118, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 implies( Y, Z ) ), T ), implies( implies( Z, U ), implies( Y, Z ) ) ),
% 3.52/3.90 implies( X, implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , clause( 14009, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 implies( Y, Z ) ), T ), implies( implies( Z, U ), implies( Y, Z ) ) ),
% 3.52/3.90 implies( X, implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14010, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.90 implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y ) ) ] )
% 3.52/3.90 , clause( 444, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U
% 3.52/3.90 , T ) ), Y ), implies( W, Y ) ), V0 ) ) ) ] )
% 3.52/3.90 , 1, clause( 797, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 3.52/3.90 , implies( X, Y ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 3.52/3.90 :=( U, U ), :=( W, implies( implies( implies( implies( X, implies( Y, Z )
% 3.52/3.90 ), T ), implies( U, T ) ), Y ) ), :=( V0, implies( implies( implies(
% 3.52/3.90 implies( implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y )
% 3.52/3.90 )] ), substitution( 1, [ :=( X, implies( implies( implies( implies( X,
% 3.52/3.90 implies( Y, Z ) ), T ), implies( U, T ) ), Y ) ), :=( Y, Y )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 3528, [ 'is_a_theorem'( implies( implies( implies( implies( implies(
% 3.52/3.90 X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y ) ) ] )
% 3.52/3.90 , clause( 14010, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.90 implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14012, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.90 implies( implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y )
% 3.52/3.90 , W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.90 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.90 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.90 , 2, clause( 3528, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.90 implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( implies(
% 3.52/3.90 X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y ) ), :=( Y, W )] ),
% 3.52/3.90 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 3541, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U
% 3.52/3.90 , T ) ), Y ), Y ), W ) ) ) ] )
% 3.52/3.90 , clause( 14012, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.90 implies( implies( X, implies( Y, Z ) ), T ), implies( U, T ) ), Y ), Y )
% 3.52/3.90 , W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14013, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.90 implies( implies( Y, Z ), implies( T, Y ) ), U ) ), Y ), implies( T, Y )
% 3.52/3.90 ) ) ] )
% 3.52/3.90 , clause( 3541, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U
% 3.52/3.90 , T ) ), Y ), Y ), W ) ) ) ] )
% 3.52/3.90 , 1, clause( 1118, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.90 , implies( Y, Z ) ), T ), implies( implies( Z, U ), implies( Y, Z ) ) ),
% 3.52/3.90 implies( X, implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( Y, Z ),
% 3.52/3.90 implies( T, Y ) ) ), :=( Z, U ), :=( T, Y ), :=( U, T ), :=( W, implies(
% 3.52/3.90 implies( implies( X, implies( implies( implies( Y, Z ), implies( T, Y ) )
% 3.52/3.90 , U ) ), Y ), implies( T, Y ) ) )] ), substitution( 1, [ :=( X, implies(
% 3.52/3.90 implies( X, implies( implies( implies( Y, Z ), implies( T, Y ) ), U ) ),
% 3.52/3.90 Y ) ), :=( Y, T ), :=( Z, Y ), :=( T, implies( implies( Y, Z ), implies(
% 3.52/3.90 T, Y ) ) ), :=( U, Z )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 5623, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.90 implies( implies( Y, Z ), implies( T, Y ) ), U ) ), Y ), implies( T, Y )
% 3.52/3.90 ) ) ] )
% 3.52/3.90 , clause( 14013, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.90 implies( implies( Y, Z ), implies( T, Y ) ), U ) ), Y ), implies( T, Y )
% 3.52/3.90 ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14015, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 implies( implies( implies( Y, Z ), implies( T, Y ) ), U ) ), Y ), implies(
% 3.52/3.90 T, Y ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.90 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.90 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.90 , 2, clause( 5623, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 3.52/3.90 implies( implies( Y, Z ), implies( T, Y ) ), U ) ), Y ), implies( T, Y )
% 3.52/3.90 ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies(
% 3.52/3.90 implies( implies( Y, Z ), implies( T, Y ) ), U ) ), Y ), implies( T, Y )
% 3.52/3.90 ) ), :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 3.52/3.90 ), :=( T, T ), :=( U, U )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 5632, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( X, implies( implies( implies( Y, Z ), implies( T, Y ) )
% 3.52/3.90 , U ) ), Y ), implies( T, Y ) ), W ) ) ) ] )
% 3.52/3.90 , clause( 14015, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.90 , implies( implies( implies( Y, Z ), implies( T, Y ) ), U ) ), Y ),
% 3.52/3.90 implies( T, Y ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14016, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.90 implies( implies( implies( Y, T ), implies( X, Y ) ), Z ) ) ) ] )
% 3.52/3.90 , clause( 5632, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( X, implies( implies( implies( Y, Z ), implies( T, Y ) )
% 3.52/3.90 , U ) ), Y ), implies( T, Y ) ), W ) ) ) ] )
% 3.52/3.90 , 1, clause( 666, [ 'is_a_theorem'( implies( implies( implies( implies(
% 3.52/3.90 implies( X, Y ), implies( Z, Y ) ), T ), X ), implies( implies( X, Y ),
% 3.52/3.90 implies( Z, Y ) ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), Z ) ), :=( Y, Y )
% 3.52/3.90 , :=( Z, T ), :=( T, X ), :=( U, Z ), :=( W, implies( implies( implies( X
% 3.52/3.90 , Y ), Z ), implies( implies( implies( Y, T ), implies( X, Y ) ), Z ) ) )] )
% 3.52/3.90 , substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, Z ), :=( Z, implies(
% 3.52/3.90 implies( Y, T ), implies( X, Y ) ) ), :=( T, Y )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 11279, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.90 implies( implies( implies( Y, T ), implies( X, Y ) ), Z ) ) ) ] )
% 3.52/3.90 , clause( 14016, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 3.52/3.90 implies( implies( implies( Y, T ), implies( X, Y ) ), Z ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.52/3.90 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14017, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.90 implies( Z, T ), X ) ), implies( implies( X, Z ), implies( U, Z ) ) ) ) ]
% 3.52/3.90 )
% 3.52/3.90 , clause( 3, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 3.52/3.90 ) ), U ) ) ) ] )
% 3.52/3.90 , 1, clause( 11279, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z
% 3.52/3.90 ), implies( implies( implies( Y, T ), implies( X, Y ) ), Z ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, U ),
% 3.52/3.90 :=( U, implies( implies( implies( X, Y ), implies( implies( Z, T ), X ) )
% 3.52/3.90 , implies( implies( X, Z ), implies( U, Z ) ) ) )] ), substitution( 1, [
% 3.52/3.90 :=( X, implies( Z, T ) ), :=( Y, X ), :=( Z, implies( implies( X, Z ),
% 3.52/3.90 implies( U, Z ) ) ), :=( T, Y )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 11512, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 3.52/3.90 implies( Z, T ), X ) ), implies( implies( X, Z ), implies( U, Z ) ) ) ) ]
% 3.52/3.90 )
% 3.52/3.90 , clause( 14017, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.90 implies( implies( Z, T ), X ) ), implies( implies( X, Z ), implies( U, Z
% 3.52/3.90 ) ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14019, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 Y ), implies( implies( Z, T ), X ) ), implies( implies( X, Z ), implies(
% 3.52/3.90 U, Z ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.90 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 3.52/3.90 , ~( 'is_a_theorem'( X ) ) ] )
% 3.52/3.90 , 2, clause( 11512, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 3.52/3.90 implies( implies( Z, T ), X ) ), implies( implies( X, Z ), implies( U, Z
% 3.52/3.90 ) ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 3.52/3.90 implies( Z, T ), X ) ), implies( implies( X, Z ), implies( U, Z ) ) ) ),
% 3.52/3.90 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 3.52/3.90 :=( T, T ), :=( U, U )] )).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 11792, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( X, Y ), implies( implies( Z, T ), X ) ), implies(
% 3.52/3.90 implies( X, Z ), implies( U, Z ) ) ), W ) ) ) ] )
% 3.52/3.90 , clause( 14019, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 3.52/3.90 , Y ), implies( implies( Z, T ), X ) ), implies( implies( X, Z ), implies(
% 3.52/3.90 U, Z ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 3.52/3.90 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14020, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 3.52/3.90 ) ) ] )
% 3.52/3.90 , clause( 11792, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 3.52/3.90 implies( implies( X, Y ), implies( implies( Z, T ), X ) ), implies(
% 3.52/3.90 implies( X, Z ), implies( U, Z ) ) ), W ) ) ) ] )
% 3.52/3.90 , 1, clause( 786, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 3.52/3.90 implies( Y, Z ) ), T ), implies( Y, implies( Y, Z ) ) ), implies( X,
% 3.52/3.90 implies( Y, Z ) ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ), Y ) )
% 3.52/3.90 , :=( Z, Y ), :=( T, Z ), :=( U, implies( X, Y ) ), :=( W, implies( X,
% 3.52/3.90 implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=(
% 3.52/3.90 Y, implies( X, Y ) ), :=( Z, Y ), :=( T, implies( implies( Y, Z ), X ) )] )
% 3.52/3.90 ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 13406, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 3.52/3.90 ) ) ] )
% 3.52/3.90 , clause( 14020, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 3.52/3.90 ) ) ) ] )
% 3.52/3.90 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.52/3.90 )] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 resolution(
% 3.52/3.90 clause( 14021, [] )
% 3.52/3.90 , clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( implies( a, b ), b )
% 3.52/3.90 ) ) ) ] )
% 3.52/3.90 , 0, clause( 13406, [ 'is_a_theorem'( implies( X, implies( implies( X, Y )
% 3.52/3.90 , Y ) ) ) ] )
% 3.52/3.90 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 3.52/3.90 ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 subsumption(
% 3.52/3.90 clause( 13916, [] )
% 3.52/3.90 , clause( 14021, [] )
% 3.52/3.90 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 end.
% 3.52/3.90
% 3.52/3.90 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.52/3.90
% 3.52/3.90 Memory use:
% 3.52/3.90
% 3.52/3.90 space for terms: 372649
% 3.52/3.90 space for clauses: 1520547
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 clauses generated: 1363255
% 3.52/3.90 clauses kept: 13917
% 3.52/3.90 clauses selected: 3418
% 3.52/3.90 clauses deleted: 273
% 3.52/3.90 clauses inuse deleted: 103
% 3.52/3.90
% 3.52/3.90 subsentry: 1357580
% 3.52/3.90 literals s-matched: 1349612
% 3.52/3.90 literals matched: 1349611
% 3.52/3.90 full subsumption: 0
% 3.52/3.90
% 3.52/3.90 checksum: 1095848921
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Bliksem ended
%------------------------------------------------------------------------------