TSTP Solution File: LCL366-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:53:02 EDT 2022
% Result : Unsatisfiable 0.88s 1.28s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% 0.10/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jul 3 12:19:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.88/1.28 *** allocated 10000 integers for termspace/termends
% 0.88/1.28 *** allocated 10000 integers for clauses
% 0.88/1.28 *** allocated 10000 integers for justifications
% 0.88/1.28 Bliksem 1.12
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Automatic Strategy Selection
% 0.88/1.28
% 0.88/1.28 Clauses:
% 0.88/1.28 [
% 0.88/1.28 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.88/1.28 'is_a_theorem'( Y ) ],
% 0.88/1.28 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.88/1.28 implies( X, Z ) ) ) ) ],
% 0.88/1.28 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.88/1.28 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.88/1.28 [ ~( 'is_a_theorem'( implies( implies( not( x ), y ), implies( implies(
% 0.88/1.28 y, x ), x ) ) ) ) ]
% 0.88/1.28 ] .
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 percentage equality = 0.000000, percentage horn = 1.000000
% 0.88/1.28 This is a near-Horn, non-equality problem
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Options Used:
% 0.88/1.28
% 0.88/1.28 useres = 1
% 0.88/1.28 useparamod = 0
% 0.88/1.28 useeqrefl = 0
% 0.88/1.28 useeqfact = 0
% 0.88/1.28 usefactor = 1
% 0.88/1.28 usesimpsplitting = 0
% 0.88/1.28 usesimpdemod = 0
% 0.88/1.28 usesimpres = 4
% 0.88/1.28
% 0.88/1.28 resimpinuse = 1000
% 0.88/1.28 resimpclauses = 20000
% 0.88/1.28 substype = standard
% 0.88/1.28 backwardsubs = 1
% 0.88/1.28 selectoldest = 5
% 0.88/1.28
% 0.88/1.28 litorderings [0] = split
% 0.88/1.28 litorderings [1] = liftord
% 0.88/1.28
% 0.88/1.28 termordering = none
% 0.88/1.28
% 0.88/1.28 litapriori = 1
% 0.88/1.28 termapriori = 0
% 0.88/1.28 litaposteriori = 0
% 0.88/1.28 termaposteriori = 0
% 0.88/1.28 demodaposteriori = 0
% 0.88/1.28 ordereqreflfact = 0
% 0.88/1.28
% 0.88/1.28 litselect = negative
% 0.88/1.28
% 0.88/1.28 maxweight = 30000
% 0.88/1.28 maxdepth = 30000
% 0.88/1.28 maxlength = 115
% 0.88/1.28 maxnrvars = 195
% 0.88/1.28 excuselevel = 0
% 0.88/1.28 increasemaxweight = 0
% 0.88/1.28
% 0.88/1.28 maxselected = 10000000
% 0.88/1.28 maxnrclauses = 10000000
% 0.88/1.28
% 0.88/1.28 showgenerated = 0
% 0.88/1.28 showkept = 0
% 0.88/1.28 showselected = 0
% 0.88/1.28 showdeleted = 0
% 0.88/1.28 showresimp = 1
% 0.88/1.28 showstatus = 2000
% 0.88/1.28
% 0.88/1.28 prologoutput = 1
% 0.88/1.28 nrgoals = 5000000
% 0.88/1.28 totalproof = 1
% 0.88/1.28
% 0.88/1.28 Symbols occurring in the translation:
% 0.88/1.28
% 0.88/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.28 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.88/1.28 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.88/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.28 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.88/1.28 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.88/1.28 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.88/1.28 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.88/1.28 y [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Starting Search:
% 0.88/1.28
% 0.88/1.28 Resimplifying inuse:
% 0.88/1.28 Done
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Intermediate Status:
% 0.88/1.28 Generated: 8948
% 0.88/1.28 Kept: 2000
% 0.88/1.28 Inuse: 377
% 0.88/1.28 Deleted: 44
% 0.88/1.28 Deletedinuse: 17
% 0.88/1.28
% 0.88/1.28 Resimplifying inuse:
% 0.88/1.28 Done
% 0.88/1.28
% 0.88/1.28 Resimplifying inuse:
% 0.88/1.28 Done
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Intermediate Status:
% 0.88/1.28 Generated: 18456
% 0.88/1.28 Kept: 4018
% 0.88/1.28 Inuse: 595
% 0.88/1.28 Deleted: 59
% 0.88/1.28 Deletedinuse: 19
% 0.88/1.28
% 0.88/1.28 Resimplifying inuse:
% 0.88/1.28 Done
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Bliksems!, er is een bewijs:
% 0.88/1.28 % SZS status Unsatisfiable
% 0.88/1.28 % SZS output start Refutation
% 0.88/1.28
% 0.88/1.28 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.88/1.28 ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.88/1.28 , Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( x ), y ), implies(
% 0.88/1.28 implies( y, x ), x ) ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.88/1.28 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.28 )
% 0.88/1.28 .
% 0.88/1.28 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.28 not( X ), X ), Y ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.88/1.28 , implies( X, Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.88/1.28 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.88/1.28 X ), Y ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.88/1.28 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.88/1.28 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.28 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.88/1.28 Y ), Z ) ), T ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.88/1.28 , implies( X, Z ) ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.88/1.28 , Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.28 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.88/1.28 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.28 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.88/1.28 implies( Z, Y ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.88/1.28 implies( X, Y ) ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.28 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.88/1.28 ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.88/1.28 ), Z ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.28 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.88/1.28 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.88/1.28 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.88/1.28 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.88/1.28 ), X ), X ), Y ), Y ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.88/1.28 ), implies( X, Y ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 4770, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 0.88/1.28 implies( Y, X ), X ) ) ) ] )
% 0.88/1.28 .
% 0.88/1.28 clause( 4895, [] )
% 0.88/1.28 .
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 % SZS output end Refutation
% 0.88/1.28 found a proof!
% 0.88/1.28
% 0.88/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.88/1.28
% 0.88/1.28 initialclauses(
% 0.88/1.28 [ clause( 4897, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.88/1.28 X ) ), 'is_a_theorem'( Y ) ] )
% 0.88/1.28 , clause( 4898, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , clause( 4899, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , clause( 4900, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , clause( 4901, [ ~( 'is_a_theorem'( implies( implies( not( x ), y ),
% 0.88/1.28 implies( implies( y, x ), x ) ) ) ) ] )
% 0.88/1.28 ] ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.88/1.28 ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , clause( 4897, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.88/1.28 X ) ), 'is_a_theorem'( Y ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.88/1.28 , Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , clause( 4898, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.88/1.28 , clause( 4899, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.88/1.28 , clause( 4900, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( x ), y ), implies(
% 0.88/1.28 implies( y, x ), x ) ) ) ) ] )
% 0.88/1.28 , clause( 4901, [ ~( 'is_a_theorem'( implies( implies( not( x ), y ),
% 0.88/1.28 implies( implies( y, x ), x ) ) ) ) ] )
% 0.88/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4903, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.88/1.28 , X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.88/1.28 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.88/1.28 , clause( 4903, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.88/1.28 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.88/1.28 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4905, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ),
% 0.88/1.28 Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.88/1.28 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.88/1.28 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4905, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.88/1.28 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4907, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.88/1.28 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.88/1.28 ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.88/1.28 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.88/1.28 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , clause( 4907, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.88/1.28 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.88/1.28 ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4908, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.28 not( X ), X ), Y ) ) ) ] )
% 0.88/1.28 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.88/1.28 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 0.88/1.28 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 0.88/1.28 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.28 not( X ), X ), Y ) ) ) ] )
% 0.88/1.28 , clause( 4908, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( not( X ), X ), Y ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4910, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.88/1.28 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( not( X ), X ), Y ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.88/1.28 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.88/1.28 :=( Y, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4910, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.88/1.28 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4911, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.88/1.28 ), implies( X, Z ) ) ) ] )
% 0.88/1.28 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.28 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.88/1.28 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.88/1.28 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.88/1.28 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.88/1.28 , implies( X, Z ) ) ) ] )
% 0.88/1.28 , clause( 4911, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.88/1.28 , Z ), implies( X, Z ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4912, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.28 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.88/1.28 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.28 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.88/1.28 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.88/1.28 ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.88/1.28 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , clause( 4912, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.28 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4913, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.88/1.28 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.88/1.28 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.88/1.28 , Z ), implies( X, Z ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.88/1.28 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.88/1.28 , clause( 4913, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4915, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.88/1.28 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.88/1.28 , Z ), implies( X, Z ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.88/1.28 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.88/1.28 :=( Y, Y ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.88/1.28 , clause( 4915, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.28 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4917, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.88/1.28 'is_a_theorem'( Y ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.88/1.28 substitution( 1, [ :=( X, X )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.88/1.28 X ), Y ) ) ) ] )
% 0.88/1.28 , clause( 4917, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.88/1.28 'is_a_theorem'( Y ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.88/1.28 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4918, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.88/1.28 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.28 , X ), Y ) ) ) ] )
% 0.88/1.28 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.88/1.28 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.88/1.28 ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.88/1.28 , clause( 4918, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4920, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X ) )
% 0.88/1.28 , Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.88/1.28 )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.88/1.28 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.88/1.28 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4920, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.88/1.28 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4921, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.88/1.28 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.88/1.28 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.88/1.28 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.88/1.28 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 0.88/1.28 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 0.88/1.28 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.88/1.28 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4921, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.88/1.28 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4923, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.28 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.88/1.28 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.28 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.88/1.28 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 0.88/1.28 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.88/1.28 ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.28 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.88/1.28 , clause( 4923, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.28 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.88/1.28 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.88/1.28 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4925, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.28 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.88/1.28 ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.88/1.28 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.88/1.28 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 0.88/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.88/1.28 Y ), Z ) ), T ) ) ) ] )
% 0.88/1.28 , clause( 4925, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.28 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.88/1.28 ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4926, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.88/1.28 , implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.88/1.28 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.28 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.88/1.28 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.88/1.28 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.88/1.28 implies( Y, implies( X, Z ) ) )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.88/1.28 , implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , clause( 4926, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.88/1.28 Y, implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4927, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.88/1.28 , Z ) ) ) ] )
% 0.88/1.28 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.88/1.28 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.88/1.28 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.88/1.28 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.88/1.28 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.88/1.28 , Z ) ) ) ] )
% 0.88/1.28 , clause( 4927, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.88/1.28 ), Z ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4929, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.88/1.28 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.88/1.28 ) ), Z ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.88/1.28 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.88/1.28 Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.28 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.88/1.28 , clause( 4929, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.88/1.28 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4930, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.88/1.28 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.88/1.28 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.88/1.28 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.88/1.28 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.88/1.28 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.88/1.28 Y ) ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.88/1.28 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.88/1.28 , clause( 4930, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.88/1.28 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4931, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.88/1.28 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.88/1.28 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.88/1.28 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.88/1.28 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.88/1.28 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.88/1.28 , clause( 4931, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4933, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) ),
% 0.88/1.28 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.88/1.28 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.28 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4933, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.88/1.28 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4934, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.88/1.28 implies( Z, Y ) ) ) ] )
% 0.88/1.28 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 X, implies( Y, Y ) ), Z ) ) ) ] )
% 0.88/1.28 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 0.88/1.28 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 0.88/1.28 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.88/1.28 implies( Z, Y ) ) ) ] )
% 0.88/1.28 , clause( 4934, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.88/1.28 implies( Z, Y ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4936, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.88/1.28 ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.88/1.28 , implies( Z, Y ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.88/1.28 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.88/1.28 , Y ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.88/1.28 , clause( 4936, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.88/1.28 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4937, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.88/1.28 implies( X, Y ) ) ) ) ] )
% 0.88/1.28 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.88/1.28 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.28 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 0.88/1.28 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.88/1.28 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 0.88/1.28 , implies( X, Y ) ) )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.88/1.28 implies( X, Y ) ) ) ) ] )
% 0.88/1.28 , clause( 4937, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.88/1.28 implies( X, Y ) ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4938, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.28 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.88/1.28 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.88/1.28 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.28 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 0.88/1.28 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 0.88/1.28 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 0.88/1.28 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.28 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4938, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.28 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4939, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.88/1.28 ) ] )
% 0.88/1.28 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.88/1.28 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.88/1.28 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 0.88/1.28 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 0.88/1.28 Z, Y ), :=( T, X )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.88/1.28 ) ] )
% 0.88/1.28 , clause( 4939, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 0.88/1.28 ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4941, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.88/1.28 ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.88/1.28 , Y ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 0.88/1.28 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4941, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.88/1.28 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4942, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.88/1.28 ), Z ), Z ) ) ) ] )
% 0.88/1.28 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.88/1.28 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.88/1.28 implies( X, Y ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.88/1.28 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.88/1.28 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.88/1.28 ), Z ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4942, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.88/1.28 , Y ), Z ), Z ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4944, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.88/1.28 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.88/1.28 Y, Y ), Z ), Z ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 0.88/1.28 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.88/1.28 ), :=( Z, Z )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.28 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.88/1.28 , clause( 4944, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.88/1.28 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4945, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.88/1.28 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.88/1.28 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.28 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.88/1.28 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.28 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.88/1.28 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 0.88/1.28 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 0.88/1.28 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 0.88/1.28 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 0.88/1.28 ) ) )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.88/1.28 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.88/1.28 , clause( 4945, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.88/1.28 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4946, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.88/1.28 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.88/1.28 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.88/1.28 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.88/1.28 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 0.88/1.28 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 0.88/1.28 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.88/1.28 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , clause( 4946, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.88/1.28 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4947, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.88/1.28 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.88/1.28 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.88/1.28 Y ), Z ) ), T ) ) ) ] )
% 0.88/1.28 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.88/1.28 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.88/1.28 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 0.88/1.28 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 0.88/1.28 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.88/1.28 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4947, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.88/1.28 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4948, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.88/1.28 ), X ), X ), Y ), Y ) ) ] )
% 0.88/1.28 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.88/1.28 Y ), Z ) ), T ) ) ) ] )
% 0.88/1.28 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.88/1.28 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.88/1.28 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 0.88/1.28 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 0.88/1.28 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 0.88/1.28 ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.88/1.28 ), X ), X ), Y ), Y ) ) ] )
% 0.88/1.28 , clause( 4948, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.88/1.28 X ), X ), X ), Y ), Y ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4950, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.28 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.28 not( X ), X ), X ), Y ), Y ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.88/1.28 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.88/1.28 :=( Y, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4950, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.28 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4951, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.88/1.28 ), implies( X, Y ) ) ) ] )
% 0.88/1.28 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.88/1.28 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.28 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 0.88/1.28 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 0.88/1.28 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 0.88/1.28 ), :=( T, implies( X, Y ) )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.88/1.28 ), implies( X, Y ) ) ) ] )
% 0.88/1.28 , clause( 4951, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 0.88/1.28 ) ), implies( X, Y ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4953, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.88/1.28 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.28 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.28 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.88/1.28 , Y ) ), implies( X, Y ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 0.88/1.28 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.88/1.28 :=( Y, Y )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.88/1.28 , clause( 4953, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.88/1.28 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.28 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4954, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 0.88/1.28 implies( Y, X ), X ) ) ) ] )
% 0.88/1.28 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.28 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.88/1.28 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.28 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [ :=( X, implies( Y, X ) ), :=( Y, X ), :=( Z,
% 0.88/1.28 implies( implies( not( X ), Y ), implies( implies( Y, X ), X ) ) )] ),
% 0.88/1.28 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, not( X ) ), :=( T,
% 0.88/1.28 implies( implies( Y, X ), X ) )] )).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 4770, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 0.88/1.28 implies( Y, X ), X ) ) ) ] )
% 0.88/1.28 , clause( 4954, [ 'is_a_theorem'( implies( implies( not( X ), Y ), implies(
% 0.88/1.28 implies( Y, X ), X ) ) ) ] )
% 0.88/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.28 )] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 resolution(
% 0.88/1.28 clause( 4955, [] )
% 0.88/1.28 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( x ), y ), implies(
% 0.88/1.28 implies( y, x ), x ) ) ) ) ] )
% 0.88/1.28 , 0, clause( 4770, [ 'is_a_theorem'( implies( implies( not( X ), Y ),
% 0.88/1.28 implies( implies( Y, X ), X ) ) ) ] )
% 0.88/1.28 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.88/1.28 ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 subsumption(
% 0.88/1.28 clause( 4895, [] )
% 0.88/1.28 , clause( 4955, [] )
% 0.88/1.28 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 end.
% 0.88/1.28
% 0.88/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.88/1.28
% 0.88/1.28 Memory use:
% 0.88/1.28
% 0.88/1.28 space for terms: 102638
% 0.88/1.28 space for clauses: 543352
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 clauses generated: 24718
% 0.88/1.28 clauses kept: 4896
% 0.88/1.28 clauses selected: 646
% 0.88/1.28 clauses deleted: 63
% 0.88/1.28 clauses inuse deleted: 22
% 0.88/1.28
% 0.88/1.28 subsentry: 20754
% 0.88/1.28 literals s-matched: 19887
% 0.88/1.28 literals matched: 19886
% 0.88/1.28 full subsumption: 0
% 0.88/1.28
% 0.88/1.28 checksum: -1230156146
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Bliksem ended
%------------------------------------------------------------------------------