TSTP Solution File: LCL091-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL091-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 07:50:12 EDT 2022
% Result : Unsatisfiable 0.45s 1.11s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL091-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 2 15:23:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.11 *** allocated 10000 integers for termspace/termends
% 0.45/1.11 *** allocated 10000 integers for clauses
% 0.45/1.11 *** allocated 10000 integers for justifications
% 0.45/1.11 Bliksem 1.12
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 Automatic Strategy Selection
% 0.45/1.11
% 0.45/1.11 Clauses:
% 0.45/1.11 [
% 0.45/1.11 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.45/1.11 'is_a_theorem'( Y ) ],
% 0.45/1.11 [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z, T ) ),
% 0.45/1.11 implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ],
% 0.45/1.11 [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ]
% 0.45/1.11 ] .
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 percentage equality = 0.000000, percentage horn = 1.000000
% 0.45/1.11 This is a near-Horn, non-equality problem
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 Options Used:
% 0.45/1.11
% 0.45/1.11 useres = 1
% 0.45/1.11 useparamod = 0
% 0.45/1.11 useeqrefl = 0
% 0.45/1.11 useeqfact = 0
% 0.45/1.11 usefactor = 1
% 0.45/1.11 usesimpsplitting = 0
% 0.45/1.11 usesimpdemod = 0
% 0.45/1.11 usesimpres = 4
% 0.45/1.11
% 0.45/1.11 resimpinuse = 1000
% 0.45/1.11 resimpclauses = 20000
% 0.45/1.11 substype = standard
% 0.45/1.11 backwardsubs = 1
% 0.45/1.11 selectoldest = 5
% 0.45/1.11
% 0.45/1.11 litorderings [0] = split
% 0.45/1.11 litorderings [1] = liftord
% 0.45/1.11
% 0.45/1.11 termordering = none
% 0.45/1.11
% 0.45/1.11 litapriori = 1
% 0.45/1.11 termapriori = 0
% 0.45/1.11 litaposteriori = 0
% 0.45/1.11 termaposteriori = 0
% 0.45/1.11 demodaposteriori = 0
% 0.45/1.11 ordereqreflfact = 0
% 0.45/1.11
% 0.45/1.11 litselect = negative
% 0.45/1.11
% 0.45/1.11 maxweight = 30000
% 0.45/1.11 maxdepth = 30000
% 0.45/1.11 maxlength = 115
% 0.45/1.11 maxnrvars = 195
% 0.45/1.11 excuselevel = 0
% 0.45/1.11 increasemaxweight = 0
% 0.45/1.11
% 0.45/1.11 maxselected = 10000000
% 0.45/1.11 maxnrclauses = 10000000
% 0.45/1.11
% 0.45/1.11 showgenerated = 0
% 0.45/1.11 showkept = 0
% 0.45/1.11 showselected = 0
% 0.45/1.11 showdeleted = 0
% 0.45/1.11 showresimp = 1
% 0.45/1.11 showstatus = 2000
% 0.45/1.11
% 0.45/1.11 prologoutput = 1
% 0.45/1.11 nrgoals = 5000000
% 0.45/1.11 totalproof = 1
% 0.45/1.11
% 0.45/1.11 Symbols occurring in the translation:
% 0.45/1.11
% 0.45/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.11 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.45/1.11 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.45/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.11 implies [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.45/1.11 'is_a_theorem' [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.45/1.11 a [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.11 b [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 Starting Search:
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 Bliksems!, er is een bewijs:
% 0.45/1.11 % SZS status Unsatisfiable
% 0.45/1.11 % SZS output start Refutation
% 0.45/1.11
% 0.45/1.11 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.45/1.11 ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.45/1.11 , T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 .
% 0.45/1.11 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.45/1.11 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.45/1.11 ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z,
% 0.45/1.11 T ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.45/1.11 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.45/1.11 Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.45/1.11 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.45/1.11 implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.45/1.11 ) ), U ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y,
% 0.45/1.11 Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.45/1.11 implies( Z, T ) ) ), W ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.45/1.11 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.45/1.11 , V1 ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.45/1.11 implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) )
% 0.45/1.11 , W ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 .
% 0.45/1.11 clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 .
% 0.45/1.11 clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 0.45/1.11 T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.45/1.11 Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.45/1.11 Z, implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 .
% 0.45/1.11 clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.45/1.11 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.45/1.11 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.45/1.11 ) ), W ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, X ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) )
% 0.45/1.11 ), V0 ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.45/1.11 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.45/1.11 ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.45/1.11 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, Y ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.45/1.11 ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.11 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.45/1.11 implies( Y, Y ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, T ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.45/1.11 ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , X ), Y ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, Z ) ) ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.45/1.11 ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.11 .
% 0.45/1.11 clause( 390, [] )
% 0.45/1.11 .
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 % SZS output end Refutation
% 0.45/1.11 found a proof!
% 0.45/1.11
% 0.45/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.11
% 0.45/1.11 initialclauses(
% 0.45/1.11 [ clause( 392, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.45/1.11 X ) ), 'is_a_theorem'( Y ) ] )
% 0.45/1.11 , clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.45/1.11 Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , clause( 394, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.45/1.11 ] ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.45/1.11 ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , clause( 392, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.45/1.11 X ) ), 'is_a_theorem'( Y ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.11 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies( Z
% 0.45/1.11 , T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.45/1.11 Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.45/1.11 , clause( 394, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 396, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.11 ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z,
% 0.45/1.11 X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), implies(
% 0.45/1.11 Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X ) ) ) ) ),
% 0.45/1.11 :=( Y, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 0.45/1.11 :=( T, T ), :=( U, U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.45/1.11 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.11 , clause( 396, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.45/1.11 Y ), implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z
% 0.45/1.11 , X ) ) ) ), W ) ) ), 'is_a_theorem'( W ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 397, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.45/1.11 ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z
% 0.45/1.11 , T ) ) ) ) ) ] )
% 0.45/1.11 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.45/1.11 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, W ),
% 0.45/1.11 :=( U, X ), :=( W, implies( implies( implies( X, implies( Y, Z ) ),
% 0.45/1.11 implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z, T )
% 0.45/1.11 ) ) ) )] ), substitution( 1, [ :=( X, implies( Z, T ) ), :=( Y, implies(
% 0.45/1.11 Y, W ) ), :=( Z, implies( W, Z ) ), :=( T, implies( X, implies( Y, Z ) )
% 0.45/1.11 ), :=( U, U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z )
% 0.45/1.11 ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z,
% 0.45/1.11 T ) ) ) ) ) ] )
% 0.45/1.11 , clause( 397, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.45/1.11 Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.45/1.11 Z, T ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 399, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.45/1.11 implies( Y, Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z
% 0.45/1.11 ), implies( Z, T ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.45/1.11 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.45/1.11 Z, T ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.45/1.11 ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies( Z
% 0.45/1.11 , T ) ) ) ) ), :=( Y, V0 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.45/1.11 , :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.45/1.11 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.45/1.11 , clause( 399, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.45/1.11 implies( Y, Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z
% 0.45/1.11 ), implies( Z, T ) ) ) ), V0 ) ) ), 'is_a_theorem'( V0 ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.45/1.11 , 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 400, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.11 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.45/1.11 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.45/1.11 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.45/1.11 , Z ) ), implies( Z, T ) ), implies( U, implies( implies( W, Z ), implies(
% 0.45/1.11 Z, T ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, U ), :=( T, Z ),
% 0.45/1.11 :=( U, Z ), :=( W, T ), :=( V0, implies( X, implies( implies( Y, Z ),
% 0.45/1.11 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) )] ),
% 0.45/1.11 substitution( 1, [ :=( X, implies( W, implies( V0, U ) ) ), :=( Y, U ),
% 0.45/1.11 :=( Z, Z ), :=( T, implies( implies( T, U ), implies( U, Z ) ) ), :=( U,
% 0.45/1.11 X ), :=( W, Y )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.45/1.11 Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 400, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.11 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 401, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.45/1.11 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.45/1.11 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.45/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, Y ), :=( T, Z ),
% 0.45/1.11 :=( U, V0 ), :=( W, X ), :=( V0, implies( implies( implies( implies( X, Y
% 0.45/1.11 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 0.45/1.11 implies( V0, implies( T, implies( U, Y ) ) ) ) ) )] ), substitution( 1, [
% 0.45/1.11 :=( X, implies( T, implies( U, Y ) ) ), :=( Y, implies( Y, Z ) ), :=( Z
% 0.45/1.11 , V0 ), :=( T, implies( implies( X, Y ), implies( Y, Z ) ) ), :=( U, W )] )
% 0.45/1.11 ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.45/1.11 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 401, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.45/1.11 , implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.45/1.11 V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.45/1.11 ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 402, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.45/1.11 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.45/1.11 , 1, clause( 6, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.11 implies( Z, implies( implies( T, U ), implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.45/1.11 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( implies( Z, T ), implies( T, Y ) ) ) ) )] ), substitution( 1, [
% 0.45/1.11 :=( X, implies( implies( implies( U, implies( W, V0 ) ), implies( V0, V1
% 0.45/1.11 ) ), implies( V2, implies( implies( V3, V0 ), implies( V0, V1 ) ) ) ) )
% 0.45/1.11 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.45/1.11 implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , clause( 402, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 404, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, implies( implies( Z, T ), implies( T, Y ) ) ) ), U ) ) ),
% 0.45/1.11 'is_a_theorem'( U ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( implies( Z, T ), implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( implies( Z, T ), implies( T, Y ) ) ) ) ), :=( Y, U )] ),
% 0.45/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.45/1.11 ) ), U ) ) ) ] )
% 0.45/1.11 , clause( 404, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, implies( implies( Z, T ), implies( T, Y ) ) ) ), U ) ) ),
% 0.45/1.11 'is_a_theorem'( U ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 405, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , clause( 12, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, implies( implies( Z, T ), implies( T, Y ) )
% 0.45/1.11 ) ), U ) ) ) ] )
% 0.45/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 0.45/1.11 :=( U, implies( implies( implies( implies( X, Y ), implies( Y, Z ) ), T )
% 0.45/1.11 , implies( U, implies( Z, T ) ) ) )] ), substitution( 1, [ :=( X, T ),
% 0.45/1.11 :=( Y, Z ), :=( Z, Z ), :=( T, implies( implies( X, Y ), implies( Y, Z )
% 0.45/1.11 ) ), :=( U, U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , clause( 405, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.45/1.11 , implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 406, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y
% 0.45/1.11 , Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.45/1.11 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.11 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, U ), :=( T, Y ),
% 0.45/1.11 :=( U, T ), :=( W, implies( X, implies( Y, implies( implies( Y, Z ),
% 0.45/1.11 implies( T, implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X, Z ),
% 0.45/1.11 :=( Y, U ), :=( Z, Y ), :=( T, implies( implies( Y, Z ), implies( T,
% 0.45/1.11 implies( U, Z ) ) ) ), :=( U, X )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Y,
% 0.45/1.11 Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 406, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.45/1.11 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 408, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) )
% 0.45/1.11 , W ) ) ), 'is_a_theorem'( W ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 13, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.11 ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ), :=( Y, W )] )
% 0.45/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 0.45/1.11 U, U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.45/1.11 implies( Z, T ) ) ), W ) ) ) ] )
% 0.45/1.11 , clause( 408, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) )
% 0.45/1.11 , W ) ) ), 'is_a_theorem'( W ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 410, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ),
% 0.45/1.11 implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) ), V1 ) ) ),
% 0.45/1.11 'is_a_theorem'( V1 ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 7, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.11 ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W,
% 0.45/1.11 implies( V0, implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, Z ) ), implies( T, implies( U, Y ) ) ), implies( W, implies(
% 0.45/1.11 V0, implies( T, implies( U, Y ) ) ) ) ) ), :=( Y, V1 )] ), substitution(
% 0.45/1.11 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U, U ), :=( W, W
% 0.45/1.11 ), :=( V0, V0 )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.45/1.11 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.45/1.11 , V1 ) ) ) ] )
% 0.45/1.11 , clause( 410, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, Z ) ), implies( T, implies( U, Y ) ) ),
% 0.45/1.11 implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) ), V1 ) ) ),
% 0.45/1.11 'is_a_theorem'( V1 ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.45/1.11 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 412, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.45/1.11 implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) ), W ) ) ),
% 0.45/1.11 'is_a_theorem'( W ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 15, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.45/1.11 Y, Z ), implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( implies( Y
% 0.45/1.11 , Z ), implies( T, implies( U, Z ) ) ) ) ) ), :=( Y, W )] ),
% 0.45/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X,
% 0.45/1.11 implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) )
% 0.45/1.11 , W ) ) ) ] )
% 0.45/1.11 , clause( 412, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.45/1.11 implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) ) ), W ) ) ),
% 0.45/1.11 'is_a_theorem'( W ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 413, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.45/1.11 ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( U, V0 ) ), :=( Y, X ), :=( Z, Y ),
% 0.45/1.11 :=( T, Z ), :=( U, T ), :=( W, implies( implies( implies( implies( X, Y )
% 0.45/1.11 , implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) )] )
% 0.45/1.11 , substitution( 1, [ :=( X, U ), :=( Y, V0 ), :=( Z, X ), :=( T, implies(
% 0.45/1.11 implies( X, Y ), implies( Z, implies( T, Y ) ) ) ), :=( U, W )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , clause( 413, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.45/1.11 , implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) ) )
% 0.45/1.11 ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 414, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , clause( 5, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), implies( Z, T ) ), implies( U,
% 0.45/1.11 implies( implies( W, Z ), implies( Z, T ) ) ) ), V0 ) ) ) ] )
% 0.45/1.11 , 1, clause( 51, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.45/1.11 ), implies( Z, implies( T, Y ) ) ), U ), implies( W, implies( X, U ) ) )
% 0.45/1.11 ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, V0 ), :=( Z, U ), :=( T, implies(
% 0.45/1.11 W, implies( V0, U ) ) ), :=( U, Z ), :=( W, T ), :=( V0, implies( X,
% 0.45/1.11 implies( Y, implies( Z, implies( implies( T, U ), implies( U, implies( W
% 0.45/1.11 , implies( V0, U ) ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.45/1.11 , implies( V0, U ) ), :=( Z, U ), :=( T, W ), :=( U, implies( Z, implies(
% 0.45/1.11 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ), :=(
% 0.45/1.11 W, X )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) ) ) ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , clause( 414, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 )] )
% 0.45/1.11 ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 415, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.45/1.11 , T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.45/1.11 ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 59, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( implies( T, U ), implies( U, implies( W, implies( V0, U ) ) ) )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, V0 ), :=( Y, V1 ), :=( Z, V2 ), :=( T, V3 )
% 0.45/1.11 , :=( U, V4 ), :=( W, implies( X, implies( Y, implies( implies( Z, T ),
% 0.45/1.11 implies( T, implies( U, implies( W, T ) ) ) ) ) ) )] ), substitution( 1
% 0.45/1.11 , [ :=( X, implies( V0, implies( V1, implies( implies( V1, V2 ), implies(
% 0.45/1.11 V3, implies( V4, V2 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=(
% 0.45/1.11 U, T ), :=( W, U ), :=( V0, W )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z,
% 0.45/1.11 T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 415, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.45/1.11 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 416, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.11 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.45/1.11 ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 74, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.45/1.11 Z, T ), implies( T, implies( U, implies( W, T ) ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, V1 ), :=( T, V2 ),
% 0.45/1.11 :=( U, V3 ), :=( W, implies( X, implies( implies( Y, Z ), implies( Z,
% 0.45/1.11 implies( T, implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X,
% 0.45/1.11 implies( W, implies( V0, implies( implies( V0, V1 ), implies( V2, implies(
% 0.45/1.11 V3, V1 ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W
% 0.45/1.11 , U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ), implies(
% 0.45/1.11 Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 416, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.11 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 417, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , clause( 19, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( implies( Y, Z ), implies( T, implies( U, Z ) ) ) )
% 0.45/1.11 ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 76, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.11 implies( Z, implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.45/1.11 :=( U, V2 ), :=( W, implies( implies( X, Y ), implies( Y, implies( Z,
% 0.45/1.11 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 0.45/1.11 W, implies( implies( W, V0 ), implies( V1, implies( V2, V0 ) ) ) ) ) ),
% 0.45/1.11 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y, implies(
% 0.45/1.11 Z, implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , clause( 417, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 419, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U
% 0.45/1.11 ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( Z, implies( T, Y ) ) ) ) ), :=( Y, U )] ), substitution( 1, [
% 0.45/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , clause( 419, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ), 'is_a_theorem'( U
% 0.45/1.11 ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 420, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.45/1.11 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.45/1.11 implies( Z, T ) ) ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 78, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Y,
% 0.45/1.11 implies( Z, implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, Y ), :=( T, Z ),
% 0.45/1.11 :=( U, X ), :=( W, implies( implies( X, implies( Y, Z ) ), implies( T,
% 0.45/1.11 implies( U, implies( X, implies( Y, Z ) ) ) ) ) )] ), substitution( 1, [
% 0.45/1.11 :=( X, implies( implies( implies( W, V0 ), implies( V0, Y ) ), Z ) ),
% 0.45/1.11 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T ), :=( T, U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.45/1.11 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 420, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.45/1.11 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 421, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.45/1.11 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y ),
% 0.45/1.11 :=( U, implies( implies( implies( X, implies( Y, Z ) ), T ), implies( U,
% 0.45/1.11 implies( Z, T ) ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Z ), :=(
% 0.45/1.11 Z, Z ), :=( T, implies( X, implies( Y, Z ) ) ), :=( U, U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.45/1.11 ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , clause( 421, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y,
% 0.45/1.11 Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 422, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 16, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( implies( X, Y ), implies( Y, Z ) ), T ), implies( U,
% 0.45/1.11 implies( Z, T ) ) ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.45/1.11 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, W ), :=( Y, V0 ), :=( Z, T ), :=( T, implies(
% 0.45/1.11 U, Y ) ), :=( U, Z ), :=( W, implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, Y ) ) ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.45/1.11 implies( W, V0 ), implies( V0, T ) ) ), :=( Y, U ), :=( Z, Y ), :=( T,
% 0.45/1.11 implies( Z, implies( T, implies( U, Y ) ) ) ), :=( U, X )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 422, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 424, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.45/1.11 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ), W ) ) ),
% 0.45/1.11 'is_a_theorem'( W ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 111, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.45/1.11 Y, Z ) ), T ), implies( U, implies( Z, T ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, implies( Y, Z
% 0.45/1.11 ) ), T ), implies( U, implies( Z, T ) ) ) ), :=( Y, W )] ),
% 0.45/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.45/1.11 ) ), W ) ) ) ] )
% 0.45/1.11 , clause( 424, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.45/1.11 implies( Y, Z ) ), T ), implies( U, implies( Z, T ) ) ), W ) ) ),
% 0.45/1.11 'is_a_theorem'( W ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 425, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, X ) ) ) ) ) ] )
% 0.45/1.11 , clause( 17, [ 'is_a_theorem'( V1 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( implies( X, Y ), implies( Y, Z ) ), implies( T, implies(
% 0.45/1.11 U, Y ) ) ), implies( W, implies( V0, implies( T, implies( U, Y ) ) ) ) )
% 0.45/1.11 , V1 ) ) ) ] )
% 0.45/1.11 , 1, clause( 119, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, implies( U, Y ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.45/1.11 :=( U, V2 ), :=( W, V3 ), :=( V0, V4 ), :=( V1, implies( X, implies( Y,
% 0.45/1.11 implies( Z, implies( T, X ) ) ) ) )] ), substitution( 1, [ :=( X, implies(
% 0.45/1.11 implies( implies( implies( U, W ), implies( W, V0 ) ), implies( V1,
% 0.45/1.11 implies( V2, W ) ) ), implies( V3, implies( V4, implies( V1, implies( V2
% 0.45/1.11 , W ) ) ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, X ) ) ) ) ) ] )
% 0.45/1.11 , clause( 425, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, X ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 427, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.45/1.11 Z, implies( T, X ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 122, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, X ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, X ) ) ) ) ), :=( Y, U )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.45/1.11 , :=( Z, Z ), :=( T, T )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.45/1.11 , clause( 427, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.45/1.11 implies( Z, implies( T, X ) ) ) ), U ) ) ), 'is_a_theorem'( U ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 428, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 130, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 X, implies( Y, implies( Z, implies( T, X ) ) ) ), U ) ) ) ] )
% 0.45/1.11 , 1, clause( 85, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.45/1.11 implies( T, implies( U, implies( X, implies( Y, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, W ),
% 0.45/1.11 :=( U, implies( X, implies( Y, implies( Z, implies( T, implies( U,
% 0.45/1.11 implies( W, Z ) ) ) ) ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, T )
% 0.45/1.11 , :=( Z, implies( U, implies( W, Z ) ) ), :=( T, X ), :=( U, Y )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 428, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 430, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.45/1.11 Z, implies( T, implies( U, implies( W, Z ) ) ) ) ) ), V0 ) ) ),
% 0.45/1.11 'is_a_theorem'( V0 ) ] )
% 0.45/1.11 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.11 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.11 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, implies( U, implies( W, Z ) ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, implies( W, Z ) ) ) ) ) ) ), :=( Y, V0 )] ),
% 0.45/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.11 , implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) )
% 0.45/1.11 ), V0 ) ) ) ] )
% 0.45/1.11 , clause( 430, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.45/1.11 implies( Z, implies( T, implies( U, implies( W, Z ) ) ) ) ) ), V0 ) ) ),
% 0.45/1.11 'is_a_theorem'( V0 ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1
% 0.45/1.11 , 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 431, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.45/1.11 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.45/1.11 ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 121, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, implies( Y, Z ) ), T ), implies( U, implies( Z, T )
% 0.45/1.11 ) ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, T ) ), implies( implies( T, X ), implies( U, implies( Z, X )
% 0.45/1.11 ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y ),
% 0.45/1.11 :=( U, W ), :=( W, implies( implies( implies( X, Y ), implies( Z, implies(
% 0.45/1.11 T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X ) ) ) ) ) )] )
% 0.45/1.11 , substitution( 1, [ :=( X, implies( Z, implies( T, X ) ) ), :=( Y, Y ),
% 0.45/1.11 :=( Z, W ), :=( T, implies( X, Y ) ), :=( U, U )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.45/1.11 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.45/1.11 ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 431, [ 'is_a_theorem'( implies( implies( implies( X, Y ), implies(
% 0.45/1.11 Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z, implies( T, X
% 0.45/1.11 ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 432, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 84, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( X, Y ), implies( Y, implies( Z, implies( T, Y ) ) ) ), U ) ) ) ]
% 0.45/1.11 )
% 0.45/1.11 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.45/1.11 implies( T, X ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, implies( U, Z ) ), :=( Y, Z ), :=( Z, T ),
% 0.45/1.11 :=( T, U ), :=( U, implies( X, implies( Y, implies( Z, implies( T,
% 0.45/1.11 implies( U, Z ) ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, Z ) )
% 0.45/1.11 , :=( Y, Z ), :=( Z, Z ), :=( T, T ), :=( U, X ), :=( W, Y )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 432, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 433, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.45/1.11 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 3, [ 'is_a_theorem'( W ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 implies( implies( X, Y ), implies( Z, T ) ), implies( implies( T, X ),
% 0.45/1.11 implies( U, implies( Z, X ) ) ) ), W ) ) ) ] )
% 0.45/1.11 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.11 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.45/1.11 implies( T, X ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, T ), :=( Y, T ), :=( Z, T ), :=( T, Z ),
% 0.45/1.11 :=( U, U ), :=( W, implies( X, implies( Y, implies( implies( Z, T ),
% 0.45/1.11 implies( U, implies( T, T ) ) ) ) ) )] ), substitution( 1, [ :=( X,
% 0.45/1.11 implies( T, T ) ), :=( Y, implies( T, Z ) ), :=( Z, implies( Z, T ) ),
% 0.45/1.11 :=( T, U ), :=( U, X ), :=( W, Y )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies( Z
% 0.45/1.11 , T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.45/1.11 , clause( 433, [ 'is_a_theorem'( implies( X, implies( Y, implies( implies(
% 0.45/1.11 Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.45/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 434, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, Y ) ) ) ) ) ] )
% 0.45/1.11 , clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) )
% 0.45/1.11 ) ), V0 ) ) ) ] )
% 0.45/1.11 , 1, clause( 327, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, implies( U, Z ) ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, V1 ),
% 0.45/1.11 :=( U, V2 ), :=( W, V3 ), :=( V0, implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, Y ) ) ) ) )] ), substitution( 1, [ :=( X, implies( U, implies(
% 0.45/1.11 W, implies( V0, implies( V1, implies( V2, implies( V3, V0 ) ) ) ) ) ) ),
% 0.45/1.11 :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.11 T, Y ) ) ) ) ) ] )
% 0.45/1.11 , clause( 434, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 resolution(
% 0.45/1.11 clause( 435, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.45/1.11 ) ] )
% 0.45/1.11 , clause( 139, [ 'is_a_theorem'( V0 ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.11 X, implies( Y, implies( Z, implies( T, implies( U, implies( W, Z ) ) ) )
% 0.45/1.11 ) ), V0 ) ) ) ] )
% 0.45/1.11 , 1, clause( 332, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.11 implies( T, Y ) ) ) ) ) ] )
% 0.45/1.11 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, V0 ),
% 0.45/1.11 :=( U, V1 ), :=( W, V2 ), :=( V0, implies( X, implies( Y, implies( Z, X )
% 0.45/1.11 ) ) )] ), substitution( 1, [ :=( X, implies( T, implies( U, implies( W,
% 0.45/1.11 implies( V0, implies( V1, implies( V2, W ) ) ) ) ) ) ), :=( Y, X ), :=( Z
% 0.45/1.11 , Y ), :=( T, Z )] )).
% 0.45/1.11
% 0.45/1.11
% 0.45/1.11 subsumption(
% 0.45/1.11 clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) ) )
% 0.45/1.11 ) ] )
% 0.45/1.11 , clause( 435, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X ) )
% 0.45/1.11 ) ) ] )
% 0.45/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 437, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.45/1.12 Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.45/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.12 , 2, clause( 334, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, X )
% 0.45/1.12 ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( Z, X ) ) )
% 0.45/1.12 ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.12 , implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.45/1.12 , clause( 437, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.45/1.12 implies( Z, X ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 438, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.45/1.12 , clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 X, implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.45/1.12 , 1, clause( 330, [ 'is_a_theorem'( implies( X, implies( Y, implies(
% 0.45/1.12 implies( Z, T ), implies( U, implies( T, T ) ) ) ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, U ), :=( Y, W ), :=( Z, V0 ), :=( T, implies(
% 0.45/1.12 X, implies( implies( Y, Z ), implies( T, implies( Z, Z ) ) ) ) )] ),
% 0.45/1.12 substitution( 1, [ :=( X, implies( U, implies( W, implies( V0, U ) ) ) )
% 0.45/1.12 , :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U, T )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.45/1.12 , clause( 438, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 439, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.45/1.12 implies( Y, Y ) ) ) ) ] )
% 0.45/1.12 , clause( 336, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 X, implies( Y, implies( Z, X ) ) ), T ) ) ) ] )
% 0.45/1.12 , 1, clause( 348, [ 'is_a_theorem'( implies( X, implies( implies( Y, Z ),
% 0.45/1.12 implies( T, implies( Z, Z ) ) ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.45/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ) )] ), substitution( 1, [
% 0.45/1.12 :=( X, implies( T, implies( U, implies( W, T ) ) ) ), :=( Y, X ), :=( Z
% 0.45/1.12 , Y ), :=( T, Z )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.45/1.12 implies( Y, Y ) ) ) ) ] )
% 0.45/1.12 , clause( 439, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.45/1.12 implies( Y, Y ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 441, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.12 implies( Z, implies( Y, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.45/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.12 , 2, clause( 350, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.45/1.12 implies( Y, Y ) ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.45/1.12 implies( Y, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.45/1.12 Y, Y ), :=( Z, Z )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.45/1.12 , clause( 441, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.12 implies( Z, implies( Y, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 442, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.12 T, T ) ) ) ) ) ] )
% 0.45/1.12 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.45/1.12 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.12 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.45/1.12 implies( T, X ) ) ) ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, T ), :=( Z, Z ), :=( T, implies(
% 0.45/1.12 X, implies( Y, implies( Z, implies( T, T ) ) ) ) )] ), substitution( 1, [
% 0.45/1.12 :=( X, T ), :=( Y, T ), :=( Z, Z ), :=( T, T ), :=( U, X ), :=( W, Y )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.12 T, T ) ) ) ) ) ] )
% 0.45/1.12 , clause( 442, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.12 implies( T, T ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 443, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.45/1.12 , 1, clause( 358, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.12 implies( T, T ) ) ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.45/1.12 X, implies( Y, implies( Z, Z ) ) ) )] ), substitution( 1, [ :=( X,
% 0.45/1.12 implies( implies( T, U ), implies( W, implies( U, U ) ) ) ), :=( Y, X ),
% 0.45/1.12 :=( Z, Y ), :=( T, Z )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , clause( 443, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z ) )
% 0.45/1.12 ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 444, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.45/1.12 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.45/1.12 , 1, clause( 367, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Z )
% 0.45/1.12 ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.45/1.12 X, implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, implies( implies( Z
% 0.45/1.12 , T ), implies( U, implies( T, T ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.45/1.12 , clause( 444, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.12 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 445, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.45/1.12 , clause( 353, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 implies( X, Y ), implies( Z, implies( Y, Y ) ) ), T ) ) ) ] )
% 0.45/1.12 , 1, clause( 369, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.45/1.12 X, X ) )] ), substitution( 1, [ :=( X, implies( implies( Y, Z ), implies(
% 0.45/1.12 T, implies( Z, Z ) ) ) ), :=( Y, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.45/1.12 , clause( 445, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 447, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.45/1.12 'is_a_theorem'( Y ) ] )
% 0.45/1.12 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.45/1.12 , ~( 'is_a_theorem'( X ) ) ] )
% 0.45/1.12 , 2, clause( 371, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.45/1.12 substitution( 1, [ :=( X, X )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.45/1.12 , X ), Y ) ) ) ] )
% 0.45/1.12 , clause( 447, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.45/1.12 'is_a_theorem'( Y ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.12 ), ==>( 1, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 448, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.12 T, Z ) ) ) ) ) ] )
% 0.45/1.12 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 X, X ), Y ) ) ) ] )
% 0.45/1.12 , 1, clause( 270, [ 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.45/1.12 implies( Z, implies( T, X ) ) ), implies( U, implies( W, implies( Z,
% 0.45/1.12 implies( T, X ) ) ) ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, implies( Z, implies( T, Z ) ) ), :=( Y,
% 0.45/1.12 implies( X, implies( Y, implies( Z, implies( T, Z ) ) ) ) )] ),
% 0.45/1.12 substitution( 1, [ :=( X, Z ), :=( Y, implies( T, Z ) ), :=( Z, Z ), :=(
% 0.45/1.12 T, T ), :=( U, X ), :=( W, Y )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, implies(
% 0.45/1.12 T, Z ) ) ) ) ) ] )
% 0.45/1.12 , clause( 448, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.12 implies( T, Z ) ) ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 449, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 X, X ), Y ) ) ) ] )
% 0.45/1.12 , 1, clause( 374, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z,
% 0.45/1.12 implies( T, Z ) ) ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, T ), :=( Y, implies( X, implies( Y, implies(
% 0.45/1.12 Z, Y ) ) ) )] ), substitution( 1, [ :=( X, implies( T, T ) ), :=( Y, X )
% 0.45/1.12 , :=( Z, Y ), :=( T, Z )] )).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) ) )
% 0.45/1.12 ) ] )
% 0.45/1.12 , clause( 449, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y ) )
% 0.45/1.12 ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 450, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.12 , clause( 373, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.45/1.12 X, X ), Y ) ) ) ] )
% 0.45/1.12 , 1, clause( 381, [ 'is_a_theorem'( implies( X, implies( Y, implies( Z, Y )
% 0.45/1.12 ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, implies( X, implies( Y, X ) ) )] )
% 0.45/1.12 , substitution( 1, [ :=( X, implies( Z, Z ) ), :=( Y, X ), :=( Z, Y )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.12 , clause( 450, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.12 )] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 resolution(
% 0.45/1.12 clause( 451, [] )
% 0.45/1.12 , clause( 2, [ ~( 'is_a_theorem'( implies( a, implies( b, a ) ) ) ) ] )
% 0.45/1.12 , 0, clause( 383, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.45/1.12 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.45/1.12 ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 subsumption(
% 0.45/1.12 clause( 390, [] )
% 0.45/1.12 , clause( 451, [] )
% 0.45/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 end.
% 0.45/1.12
% 0.45/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.12
% 0.45/1.12 Memory use:
% 0.45/1.12
% 0.45/1.12 space for terms: 8806
% 0.45/1.12 space for clauses: 50414
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 clauses generated: 1757
% 0.45/1.12 clauses kept: 391
% 0.45/1.12 clauses selected: 104
% 0.45/1.12 clauses deleted: 18
% 0.45/1.12 clauses inuse deleted: 0
% 0.45/1.12
% 0.45/1.12 subsentry: 1505
% 0.45/1.12 literals s-matched: 1385
% 0.45/1.12 literals matched: 1385
% 0.45/1.12 full subsumption: 0
% 0.45/1.12
% 0.45/1.12 checksum: 947074871
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Bliksem ended
%------------------------------------------------------------------------------