TSTP Solution File: LCL092-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 07:50:13 EDT 2022
% Result : Unsatisfiable 0.71s 1.12s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 01:02:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12 [
% 0.71/1.12 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.71/1.12 'is_a_theorem'( Y ) ],
% 0.71/1.12 [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z, T ) ),
% 0.71/1.12 implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ],
% 0.71/1.12 [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a ) ) ) ]
% 0.71/1.12 ] .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 percentage equality = 0.000000, percentage horn = 1.000000
% 0.71/1.12 This is a near-Horn, non-equality problem
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 0
% 0.71/1.12 useeqrefl = 0
% 0.71/1.12 useeqfact = 0
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 0
% 0.71/1.12 usesimpres = 4
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = standard
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = liftord
% 0.71/1.12
% 0.71/1.12 termordering = none
% 0.71/1.12
% 0.71/1.12 litapriori = 1
% 0.71/1.12 termapriori = 0
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = negative
% 0.71/1.12
% 0.71/1.12 maxweight = 30000
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 0
% 0.71/1.12 increasemaxweight = 0
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.12
% 0.71/1.12 showgenerated = 0
% 0.71/1.12 showkept = 0
% 0.71/1.12 showselected = 0
% 0.71/1.12 showdeleted = 0
% 0.71/1.12 showresimp = 1
% 0.71/1.12 showstatus = 2000
% 0.71/1.12
% 0.71/1.12 prologoutput = 1
% 0.71/1.12 nrgoals = 5000000
% 0.71/1.12 totalproof = 1
% 0.71/1.12
% 0.71/1.12 Symbols occurring in the translation:
% 0.71/1.12
% 0.71/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.12 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 implies [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.12 'is_a_theorem' [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.12 a [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.71/1.12 b [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Starting Search:
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksems!, er is een bewijs:
% 0.71/1.12 % SZS status Unsatisfiable
% 0.71/1.12 % SZS output start Refutation
% 0.71/1.12
% 0.71/1.12 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.71/1.12 ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.71/1.12 , T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a )
% 0.71/1.12 ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.71/1.12 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.71/1.12 ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z,
% 0.71/1.12 T ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.71/1.12 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.71/1.12 Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.71/1.12 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.71/1.12 implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.71/1.12 ) ), U ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y,
% 0.71/1.12 Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.71/1.12 implies( Z, T ) ) ), W ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.71/1.12 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.71/1.12 , V1 ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.71/1.12 Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.71/1.12 implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) )
% 0.71/1.12 , W ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.71/1.12 implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.71/1.12 ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 0.71/1.12 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 0.71/1.12 T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.71/1.12 Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.71/1.12 Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.71/1.12 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.71/1.12 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.71/1.12 ) ), W ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, X ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) )
% 0.71/1.12 ), V0 ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.71/1.12 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.71/1.12 ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.71/1.12 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, Y ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.71/1.12 implies( Y, Y ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, T ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , X ), Y ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, Z ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, X ) ), Z ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.71/1.12 implies( Z, implies( T, X ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.71/1.12 ), Y ), Y ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.71/1.12 ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 430, [] )
% 0.71/1.12 .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 % SZS output end Refutation
% 0.71/1.12 found a proof!
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 initialclauses(
% 0.71/1.12 [ clause( 432, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.71/1.12 X ) ), 'is_a_theorem'( Y ) ] )
% 0.71/1.12 , clause( 433, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.71/1.12 Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 434, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a )
% 0.71/1.12 , a ) ) ) ] )
% 0.71/1.12 ] ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.71/1.12 ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , clause( 432, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.71/1.12 X ) ), 'is_a_theorem'( Y ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.71/1.12 , T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 433, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.71/1.12 Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a )
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , clause( 434, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a )
% 0.71/1.12 , a ) ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 436, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.71/1.12 ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z,
% 0.71/1.12 X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.71/1.12 Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ),
% 0.71/1.12 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.71/1.12 :=( T, T ), :=( U, U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.71/1.12 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.71/1.12 , clause( 436, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.71/1.12 Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z
% 0.71/1.12 , X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 437, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.71/1.12 ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z
% 0.71/1.12 , T ) ) ) ) ) ] )
% 0.71/1.12 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.71/1.12 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, W ),
% 0.71/1.12 :=( U, X ), :=( W, implies( implies( implies( X, implies( Y, Z ) ),
% 0.71/1.12 implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z, T )
% 0.71/1.12 ) ) ) )] ), substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, implies(
% 0.71/1.12 Y, W ) ), :=( Z, implies( W, Z ) ), :=( T, implies( X, implies( Y, Z ) )
% 0.71/1.12 ), :=( U, U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.71/1.12 ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z,
% 0.71/1.12 T ) ) ) ) ) ] )
% 0.71/1.12 , clause( 437, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.71/1.12 Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.71/1.12 Z, T ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 439, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.71/1.12 implies( Y, Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z
% 0.71/1.12 ), implies( Z, T ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.71/1.12 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.71/1.12 Z, T ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.71/1.12 ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z
% 0.71/1.12 , T ) ) ) ) ), :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.71/1.12 , :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.71/1.12 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.71/1.12 , clause( 439, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.71/1.12 implies( Y, Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z
% 0.71/1.12 ), implies( Z, T ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.71/1.12 , 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 440, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.71/1.12 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.71/1.12 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.71/1.12 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.71/1.12 Z, T ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, U ), :=( T, Z ),
% 0.71/1.12 :=( U, Z ), :=( W, T ), :=( V0, implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) )] ),
% 0.71/1.12 substitution( 1, [ :=( X, implies( W, implies( V0, U ) ) ), :=( Y, U ),
% 0.71/1.12 :=( Z, Z ), :=( T, implies( implies( T, U ), implies( U, Z ) ) ), :=( U,
% 0.71/1.12 X ), :=( W, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.71/1.12 Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 440, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 441, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.71/1.12 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.71/1.12 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.71/1.12 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.12 :=( U, V0 ), :=( W, X ), :=( V0, implies( implies( implies( implies( X, Y
% 0.71/1.12 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 0.71/1.12 implies( V0, implies( T, implies( U, Y ) ) ) ) ) )] ), substitution( 1, [
% 0.71/1.12 :=( X, implies( T, implies( U, Y ) ) ), :=( Y, implies( Y, Z ) ), :=( Z
% 0.71/1.12 , V0 ), :=( T, implies( implies( X, Y ), implies( Y, Z ) ) ), :=( U, W )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.71/1.12 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 441, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.71/1.12 , implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.71/1.12 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 442, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.71/1.12 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.71/1.12 , 1, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.71/1.12 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( implies( Z, T ), implies( T, Y ) ) ) ) )] ), substitution( 1, [
% 0.71/1.12 :=( X, implies( implies( implies( U, implies( W, V0 ) ), implies( V0, V1
% 0.71/1.12 ) ), implies( V2, implies( implies( V3, V0 ), implies( V0, V1 ) ) ) ) )
% 0.71/1.12 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.71/1.12 implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , clause( 442, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 444, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, implies( implies( Z, T ), implies( T, Y ) ) ) ), U ) ) ),
% 0.71/1.12 'is_a_theorem'( U ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( implies( Z, T ), implies( T, Y ) ) ) ) ), :=( Y, U )] ),
% 0.71/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.71/1.12 ) ), U ) ) ) ] )
% 0.71/1.12 , clause( 444, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, implies( implies( Z, T ), implies( T, Y ) ) ) ), U ) ) ),
% 0.71/1.12 'is_a_theorem'( U ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 445, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.71/1.12 ) ), U ) ) ) ] )
% 0.71/1.12 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 0.71/1.12 :=( U, implies( implies( implies( implies( X, Y ), implies( Y, Z ) ), T )
% 0.71/1.12 , implies( U, implies( Z, T ) ) ) )] ), substitution( 1, [ :=( X, T ),
% 0.71/1.12 :=( Y, Z ), :=( Z, Z ), :=( T, implies( implies( X, Y ), implies( Y, Z )
% 0.71/1.12 ) ), :=( U, U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , clause( 445, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.71/1.12 , implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 446, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.71/1.12 , Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.71/1.12 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.71/1.12 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, U ), :=( T, Y ),
% 0.71/1.12 :=( U, T ), :=( W, implies( X, implies( Y, implies( implies( Y, Z ),
% 0.71/1.12 implies( T, implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X, Z ),
% 0.71/1.12 :=( Y, U ), :=( Z, Y ), :=( T, implies( implies( Y, Z ), implies( T,
% 0.71/1.12 implies( U, Z ) ) ) ), :=( U, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y,
% 0.71/1.12 Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 446, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 448, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) )
% 0.71/1.12 , W ) ) ), 'is_a_theorem'( W ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.71/1.12 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ), :=( Y, W )] )
% 0.71/1.12 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.71/1.12 U, U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.71/1.12 implies( Z, T ) ) ), W ) ) ) ] )
% 0.71/1.12 , clause( 448, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) )
% 0.71/1.12 , W ) ) ), 'is_a_theorem'( W ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 450, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ),
% 0.71/1.12 implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) ), V1 ) ) ),
% 0.71/1.12 'is_a_theorem'( V1 ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.71/1.12 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 0.71/1.12 implies( V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.71/1.12 V0, implies( T, implies( U, Y ) ) ) ) ) ), :=( Y, V1 )] ), substitution(
% 0.71/1.12 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W
% 0.71/1.12 ), :=( V0, V0 )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.71/1.12 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.71/1.12 , V1 ) ) ) ] )
% 0.71/1.12 , clause( 450, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ),
% 0.71/1.12 implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) ), V1 ) ) ),
% 0.71/1.12 'is_a_theorem'( V1 ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.71/1.12 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 451, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.71/1.12 ) ), U ) ) ) ] )
% 0.71/1.12 , 1, clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.71/1.12 :=( U, implies( X, implies( implies( X, Y ), implies( Z, implies( T, Y )
% 0.71/1.12 ) ) ) )] ), substitution( 1, [ :=( X, implies( implies( U, W ), implies(
% 0.71/1.12 W, implies( implies( V0, V1 ), implies( V1, W ) ) ) ) ), :=( Y, X ), :=(
% 0.71/1.12 Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), implies(
% 0.71/1.12 Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , clause( 451, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 453, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.71/1.12 implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) ), W ) ) ),
% 0.71/1.12 'is_a_theorem'( W ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( implies( Y
% 0.71/1.12 , Z ), implies( T, implies( U, Z ) ) ) ) ) ), :=( Y, W )] ),
% 0.71/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.71/1.12 implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) )
% 0.71/1.12 , W ) ) ) ] )
% 0.71/1.12 , clause( 453, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.71/1.12 implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) ), W ) ) ),
% 0.71/1.12 'is_a_theorem'( W ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 455, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( X
% 0.71/1.12 , Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 18, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [
% 0.71/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X,
% 0.71/1.12 implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ] )
% 0.71/1.12 , clause( 455, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.71/1.12 X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ]
% 0.71/1.12 )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 456, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.71/1.12 ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )
% 0.71/1.12 ] )
% 0.71/1.12 , clause( 23, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( T, W ) ), :=( Y, Z ), :=( Z, X ),
% 0.71/1.12 :=( T, Y ), :=( U, implies( implies( implies( X, implies( Y, Z ) ), T ),
% 0.71/1.12 implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )] ),
% 0.71/1.12 substitution( 1, [ :=( X, T ), :=( Y, W ), :=( Z, implies( implies( T, W
% 0.71/1.12 ), Z ) ), :=( T, implies( X, implies( Y, Z ) ) ), :=( U, U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.71/1.12 ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 456, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.71/1.12 Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )
% 0.71/1.12 ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 458, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.71/1.12 implies( Y, Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z
% 0.71/1.12 ), T ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 27, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.71/1.12 , Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.71/1.12 ) ), T ), implies( U, implies( implies( implies( T, W ), Z ), T ) ) ) )
% 0.71/1.12 , :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.71/1.12 :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 0.71/1.12 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 0.71/1.12 , clause( 458, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.71/1.12 implies( Y, Z ) ), T ), implies( U, implies( implies( implies( T, W ), Z
% 0.71/1.12 ), T ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.71/1.12 , 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 459, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.71/1.12 ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( U, V0 ) ), :=( Y, X ), :=( Z, Y ),
% 0.71/1.12 :=( T, Z ), :=( U, T ), :=( W, implies( implies( implies( implies( X, Y )
% 0.71/1.12 , implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) )] )
% 0.71/1.12 , substitution( 1, [ :=( X, U ), :=( Y, V0 ), :=( Z, X ), :=( T, implies(
% 0.71/1.12 implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), :=( U, W )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 459, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.71/1.12 , implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) )
% 0.71/1.12 ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 460, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.71/1.12 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.71/1.12 , 1, clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.71/1.12 ), implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, V0 ), :=( Z, U ), :=( T, implies(
% 0.71/1.12 W, implies( V0, U ) ) ), :=( U, Z ), :=( W, T ), :=( V0, implies( X,
% 0.71/1.12 implies( Y, implies( Z, implies( implies( T, U ), implies( U, implies( W
% 0.71/1.12 , implies( V0, U ) ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.71/1.12 , implies( V0, U ) ), :=( Z, U ), :=( T, W ), :=( U, implies( Z, implies(
% 0.71/1.12 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ), :=(
% 0.71/1.12 W, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 460, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 461, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.71/1.12 , T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.71/1.12 ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, V0 ), :=( Y, V1 ), :=( Z, V2 ), :=( T, V3 )
% 0.71/1.12 , :=( U, V4 ), :=( W, implies( X, implies( Y, implies( implies( Z, T ),
% 0.71/1.12 implies( T, implies( U, implies( W, T ) ) ) ) ) ) )] ), substitution( 1
% 0.71/1.12 , [ :=( X, implies( V0, implies( V1, implies( implies( V1, V2 ), implies(
% 0.71/1.12 V3, implies( V4, V2 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=(
% 0.71/1.12 U, T ), :=( W, U ), :=( V0, W )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 0.71/1.12 T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 461, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 462, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.71/1.12 ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 0.71/1.12 :=( U, V3 ), :=( W, implies( X, implies( implies( Y, Z ), implies( Z,
% 0.71/1.12 implies( T, implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X,
% 0.71/1.12 implies( W, implies( V0, implies( implies( V0, V1 ), implies( V2, implies(
% 0.71/1.12 V3, V1 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W
% 0.71/1.12 , U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.71/1.12 Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 462, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 463, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.71/1.12 ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.71/1.12 :=( U, V2 ), :=( W, implies( implies( X, Y ), implies( Y, implies( Z,
% 0.71/1.12 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 0.71/1.12 W, implies( implies( W, V0 ), implies( V1, implies( V2, V0 ) ) ) ) ) ),
% 0.71/1.12 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.71/1.12 Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , clause( 463, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 465, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [
% 0.71/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 465, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U
% 0.71/1.12 ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 466, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.71/1.12 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.71/1.12 implies( Z, T ) ) ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.71/1.12 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.12 :=( U, X ), :=( W, implies( implies( X, implies( Y, Z ) ), implies( T,
% 0.71/1.12 implies( U, implies( X, implies( Y, Z ) ) ) ) ) )] ), substitution( 1, [
% 0.71/1.12 :=( X, implies( implies( implies( W, V0 ), implies( V0, Y ) ), Z ) ),
% 0.71/1.12 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T ), :=( T, U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.71/1.12 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 466, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.71/1.12 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 467, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.71/1.12 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 0.71/1.12 :=( U, implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U,
% 0.71/1.12 implies( Z, T ) ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Z ), :=(
% 0.71/1.12 Z, Z ), :=( T, implies( X, implies( Y, Z ) ) ), :=( U, U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.71/1.12 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , clause( 467, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.71/1.12 Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 468, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.71/1.12 implies( Z, T ) ) ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.71/1.12 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, T ), :=( T, implies(
% 0.71/1.12 U, Y ) ), :=( U, Z ), :=( W, implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, Y ) ) ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.71/1.12 implies( W, V0 ), implies( V0, T ) ) ), :=( Y, U ), :=( Z, Y ), :=( T,
% 0.71/1.12 implies( Z, implies( T, implies( U, Y ) ) ) ), :=( U, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 468, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 470, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.71/1.12 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ), W ) ) ),
% 0.71/1.12 'is_a_theorem'( W ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.71/1.12 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.71/1.12 ) ), T ), implies( U, implies( Z, T ) ) ) ), :=( Y, W )] ),
% 0.71/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.71/1.12 ) ), W ) ) ) ] )
% 0.71/1.12 , clause( 470, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.71/1.12 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ), W ) ) ),
% 0.71/1.12 'is_a_theorem'( W ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 471, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, X ) ) ) ) ) ] )
% 0.71/1.12 , clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.71/1.12 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.71/1.12 , V1 ) ) ) ] )
% 0.71/1.12 , 1, clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.71/1.12 :=( U, V2 ), :=( W, V3 ), :=( V0, V4 ), :=( V1, implies( X, implies( Y,
% 0.71/1.12 implies( Z, implies( T, X ) ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.71/1.12 implies( implies( implies( U, W ), implies( W, V0 ) ), implies( V1,
% 0.71/1.12 implies( V2, W ) ) ), implies( V3, implies( V4, implies( V1, implies( V2
% 0.71/1.12 , W ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, X ) ) ) ) ) ] )
% 0.71/1.12 , clause( 471, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, X ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 473, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.71/1.12 Z, implies( T, X ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, X ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, X ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.71/1.12 , :=( Z, Z ), :=( T, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.71/1.12 , clause( 473, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.71/1.12 implies( Z, implies( T, X ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 474, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.71/1.12 , 1, clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.71/1.12 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.71/1.12 :=( U, implies( X, implies( Y, implies( Z, implies( T, implies( U,
% 0.71/1.12 implies( W, Z ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, T )
% 0.71/1.12 , :=( Z, implies( U, implies( W, Z ) ) ), :=( T, X ), :=( U, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 474, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 476, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.71/1.12 Z, implies( T, implies( U, implies( W, Z ) ) ) ) ) ), V0 ) ) ),
% 0.71/1.12 'is_a_theorem'( V0 ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, implies( W, Z ) ) ) ) ) ) ), :=( Y, V0 )] ),
% 0.71/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) )
% 0.71/1.12 ), V0 ) ) ) ] )
% 0.71/1.12 , clause( 476, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.71/1.12 implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) ) ), V0 ) ) ),
% 0.71/1.12 'is_a_theorem'( V0 ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.71/1.12 , 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 477, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.71/1.12 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.71/1.12 ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.71/1.12 ) ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y ),
% 0.71/1.12 :=( U, W ), :=( W, implies( implies( implies( X, Y ), implies( Z, implies(
% 0.71/1.12 T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X ) ) ) ) ) )] )
% 0.71/1.12 , substitution( 1, [ :=( X, implies( Z, implies( T, X ) ) ), :=( Y, Y ),
% 0.71/1.12 :=( Z, W ), :=( T, implies( X, Y ) ), :=( U, U )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.71/1.12 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.71/1.12 ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 477, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.71/1.12 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.71/1.12 ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 478, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.71/1.12 implies( T, X ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( U, Z ) ), :=( Y, Z ), :=( Z, T ),
% 0.71/1.12 :=( T, U ), :=( U, implies( X, implies( Y, implies( Z, implies( T,
% 0.71/1.12 implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, Z ) )
% 0.71/1.12 , :=( Y, Z ), :=( Z, Z ), :=( T, T ), :=( U, X ), :=( W, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 478, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 479, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.71/1.12 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.71/1.12 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.71/1.12 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.71/1.12 implies( T, X ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, T ), :=( Z, T ), :=( T, Z ),
% 0.71/1.12 :=( U, U ), :=( W, implies( X, implies( Y, implies( implies( Z, T ),
% 0.71/1.12 implies( U, implies( T, T ) ) ) ) ) )] ), substitution( 1, [ :=( X,
% 0.71/1.12 implies( T, T ) ), :=( Y, implies( T, Z ) ), :=( Z, implies( Z, T ) ),
% 0.71/1.12 :=( T, U ), :=( U, X ), :=( W, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.71/1.12 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.71/1.12 , clause( 479, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 480, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, Y ) ) ) ) ) ] )
% 0.71/1.12 , clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) )
% 0.71/1.12 ) ), V0 ) ) ) ] )
% 0.71/1.12 , 1, clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.71/1.12 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 0.71/1.12 W, implies( V0, implies( V1, implies( V2, implies( V3, V0 ) ) ) ) ) ) ),
% 0.71/1.12 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, Y ) ) ) ) ) ] )
% 0.71/1.12 , clause( 480, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 481, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) )
% 0.71/1.12 ) ), V0 ) ) ) ] )
% 0.71/1.12 , 1, clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, Y ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.71/1.12 :=( U, V1 ), :=( W, V2 ), :=( V0, implies( X, implies( Y, implies( Z, X )
% 0.71/1.12 ) ) )] ), substitution( 1, [ :=( X, implies( T, implies( U, implies( W,
% 0.71/1.12 implies( V0, implies( V1, implies( V2, W ) ) ) ) ) ) ), :=( Y, X ), :=( Z
% 0.71/1.12 , Y ), :=( T, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 481, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) )
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 483, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.71/1.12 Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 0.71/1.12 ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, X ) ) )
% 0.71/1.12 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.71/1.12 , clause( 483, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.71/1.12 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 484, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.71/1.12 , clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.71/1.12 implies( Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 0.71/1.12 X, implies( implies( Y, Z ), implies( T, implies( Z, Z ) ) ) ) )] ),
% 0.71/1.12 substitution( 1, [ :=( X, implies( U, implies( W, implies( V0, U ) ) ) )
% 0.71/1.12 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.71/1.12 , clause( 484, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 485, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.71/1.12 implies( Y, Y ) ) ) ) ] )
% 0.71/1.12 , clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.71/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.71/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ) )] ), substitution( 1, [
% 0.71/1.12 :=( X, implies( T, implies( U, implies( W, T ) ) ) ), :=( Y, X ), :=( Z
% 0.71/1.12 , Y ), :=( T, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.71/1.12 implies( Y, Y ) ) ) ) ] )
% 0.71/1.12 , clause( 485, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.71/1.12 implies( Y, Y ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 487, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( Y, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.71/1.12 implies( Y, Y ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.71/1.12 implies( Y, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.71/1.12 Y, Y ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.71/1.12 , clause( 487, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( Y, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 488, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, T ) ) ) ) ) ] )
% 0.71/1.12 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.71/1.12 implies( T, X ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, T ), :=( Z, Z ), :=( T, implies(
% 0.71/1.12 X, implies( Y, implies( Z, implies( T, T ) ) ) ) )] ), substitution( 1, [
% 0.71/1.12 :=( X, T ), :=( Y, T ), :=( Z, Z ), :=( T, T ), :=( U, X ), :=( W, Y )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, T ) ) ) ) ) ] )
% 0.71/1.12 , clause( 488, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, T ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 489, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, T ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.71/1.12 X, implies( Y, implies( Z, Z ) ) ) )] ), substitution( 1, [ :=( X,
% 0.71/1.12 implies( implies( T, U ), implies( W, implies( U, U ) ) ) ), :=( Y, X ),
% 0.71/1.12 :=( Z, Y ), :=( T, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 489, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) )
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 490, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.71/1.12 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z )
% 0.71/1.12 ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.71/1.12 X, implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( implies( Z
% 0.71/1.12 , T ), implies( U, implies( T, T ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.71/1.12 , clause( 490, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 492, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.71/1.12 Z, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z )
% 0.71/1.12 ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, Z ) ) )
% 0.71/1.12 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.71/1.12 , clause( 492, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.71/1.12 implies( Z, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 493, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.71/1.12 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.71/1.12 X, X ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), implies(
% 0.71/1.12 T, implies( Z, Z ) ) ) ), :=( Y, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.71/1.12 , clause( 493, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 495, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.71/1.12 'is_a_theorem'( Y ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.71/1.12 substitution( 1, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , X ), Y ) ) ) ] )
% 0.71/1.12 , clause( 495, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.71/1.12 'is_a_theorem'( Y ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.12 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 496, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, Z ) ) ) ) ) ] )
% 0.71/1.12 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, X ), Y ) ) ) ] )
% 0.71/1.12 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.71/1.12 implies( T, X ) ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( Z, implies( T, Z ) ) ), :=( Y,
% 0.71/1.12 implies( X, implies( Y, implies( Z, implies( T, Z ) ) ) ) )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Z ), :=( Y, implies( T, Z ) ), :=( Z, Z ), :=(
% 0.71/1.12 T, T ), :=( U, X ), :=( W, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 T, Z ) ) ) ) ) ] )
% 0.71/1.12 , clause( 496, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, Z ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 497, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, X ), Y ) ) ) ] )
% 0.71/1.12 , 1, clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( T, Z ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, implies( X, implies( Y, implies(
% 0.71/1.12 Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( T, T ) ), :=( Y, X )
% 0.71/1.12 , :=( Z, Y ), :=( T, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 497, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 498, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.71/1.12 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, X ), Y ) ) ) ] )
% 0.71/1.12 , 1, clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.71/1.12 ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( X, implies( Y, X ) ) )] )
% 0.71/1.12 , substitution( 1, [ :=( X, implies( Z, Z ) ), :=( Y, X ), :=( Z, Y )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.71/1.12 , clause( 498, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 500, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ), Z
% 0.71/1.12 ) ) ), 'is_a_theorem'( Z ) ] )
% 0.71/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.71/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.71/1.12 , 2, clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.71/1.12 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.71/1.12 , implies( Y, X ) ), Z ) ) ) ] )
% 0.71/1.12 , clause( 500, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.71/1.12 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 501, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.71/1.12 implies( Z, implies( T, X ) ) ) ) ] )
% 0.71/1.12 , clause( 389, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.71/1.12 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.71/1.12 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.71/1.12 ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, T ), :=( Z,
% 0.71/1.12 implies( implies( implies( X, Y ), X ), implies( Z, implies( T, X ) ) ) )] )
% 0.71/1.12 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 0.71/1.12 X, Y ) ), :=( U, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.71/1.12 implies( Z, implies( T, X ) ) ) ) ] )
% 0.71/1.12 , clause( 501, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.71/1.12 implies( Z, implies( T, X ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 502, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.71/1.12 , clause( 32, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( implies(
% 0.71/1.12 implies( T, W ), Z ), T ) ) ), V0 ) ) ) ] )
% 0.71/1.12 , 1, clause( 398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.71/1.12 , implies( Z, implies( T, X ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( implies( T, U ), T ) )
% 0.71/1.12 , :=( Z, T ), :=( T, T ), :=( U, Z ), :=( W, U ), :=( V0, implies( X,
% 0.71/1.12 implies( Y, implies( Z, implies( implies( implies( T, U ), T ), T ) ) ) )
% 0.71/1.12 )] ), substitution( 1, [ :=( X, implies( Z, implies( implies( implies( T
% 0.71/1.12 , U ), T ), T ) ) ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.71/1.12 implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.71/1.12 , clause( 502, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 503, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.71/1.12 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 401, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.71/1.12 implies( implies( implies( T, U ), T ), T ) ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 0.71/1.12 X, implies( Y, implies( implies( implies( Z, T ), Z ), Z ) ) ) )] ),
% 0.71/1.12 substitution( 1, [ :=( X, implies( U, implies( W, implies( V0, V0 ) ) ) )
% 0.71/1.12 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.71/1.12 , clause( 503, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.71/1.12 implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 504, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.71/1.12 ), Y ), Y ) ) ) ] )
% 0.71/1.12 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 423, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.71/1.12 implies( implies( Z, T ), Z ), Z ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.71/1.12 X, implies( implies( implies( Y, Z ), Y ), Y ) ) )] ), substitution( 1, [
% 0.71/1.12 :=( X, implies( T, implies( U, implies( W, W ) ) ) ), :=( Y, X ), :=( Z
% 0.71/1.12 , Y ), :=( T, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Z
% 0.71/1.12 ), Y ), Y ) ) ) ] )
% 0.71/1.12 , clause( 504, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y,
% 0.71/1.12 Z ), Y ), Y ) ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 505, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 370, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.71/1.12 X, implies( Y, implies( Z, Z ) ) ), T ) ) ) ] )
% 0.71/1.12 , 1, clause( 425, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.71/1.12 Y, Z ), Y ), Y ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.71/1.12 implies( implies( X, Y ), X ), X ) )] ), substitution( 1, [ :=( X,
% 0.71/1.12 implies( Z, implies( T, implies( U, U ) ) ) ), :=( Y, X ), :=( Z, Y )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 505, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 506, [] )
% 0.71/1.12 , clause( 2, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), a ), a
% 0.71/1.12 ) ) ) ] )
% 0.71/1.12 , 0, clause( 427, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X )
% 0.71/1.12 , X ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 430, [] )
% 0.71/1.12 , clause( 506, [] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 end.
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 Memory use:
% 0.71/1.12
% 0.71/1.12 space for terms: 9469
% 0.71/1.12 space for clauses: 53673
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 clauses generated: 2403
% 0.71/1.12 clauses kept: 431
% 0.71/1.12 clauses selected: 121
% 0.71/1.12 clauses deleted: 22
% 0.71/1.12 clauses inuse deleted: 0
% 0.71/1.12
% 0.71/1.12 subsentry: 2136
% 0.71/1.12 literals s-matched: 1995
% 0.71/1.12 literals matched: 1995
% 0.71/1.12 full subsumption: 0
% 0.71/1.12
% 0.71/1.12 checksum: 554852035
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksem ended
%------------------------------------------------------------------------------