TSTP Solution File: LCL399-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL399-1 : TPTP v8.1.0. Released v2.3.0.
% 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 07:53:19 EDT 2022
% Result : Unsatisfiable 0.76s 1.18s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL399-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : Mon Jul 4 03:57:16 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.76/1.18 *** allocated 10000 integers for termspace/termends
% 0.76/1.18 *** allocated 10000 integers for clauses
% 0.76/1.18 *** allocated 10000 integers for justifications
% 0.76/1.18 Bliksem 1.12
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 Automatic Strategy Selection
% 0.76/1.18
% 0.76/1.18 Clauses:
% 0.76/1.18 [
% 0.76/1.18 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.76/1.18 'is_a_theorem'( Y ) ],
% 0.76/1.18 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.76/1.18 implies( X, Z ) ) ) ) ],
% 0.76/1.18 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.76/1.18 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.76/1.18 [ ~( 'is_a_theorem'( implies( implies( not( x ), not( implies( y, y ) )
% 0.76/1.18 ), x ) ) ) ]
% 0.76/1.18 ] .
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 percentage equality = 0.000000, percentage horn = 1.000000
% 0.76/1.18 This is a near-Horn, non-equality problem
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 Options Used:
% 0.76/1.18
% 0.76/1.18 useres = 1
% 0.76/1.18 useparamod = 0
% 0.76/1.18 useeqrefl = 0
% 0.76/1.18 useeqfact = 0
% 0.76/1.18 usefactor = 1
% 0.76/1.18 usesimpsplitting = 0
% 0.76/1.18 usesimpdemod = 0
% 0.76/1.18 usesimpres = 4
% 0.76/1.18
% 0.76/1.18 resimpinuse = 1000
% 0.76/1.18 resimpclauses = 20000
% 0.76/1.18 substype = standard
% 0.76/1.18 backwardsubs = 1
% 0.76/1.18 selectoldest = 5
% 0.76/1.18
% 0.76/1.18 litorderings [0] = split
% 0.76/1.18 litorderings [1] = liftord
% 0.76/1.18
% 0.76/1.18 termordering = none
% 0.76/1.18
% 0.76/1.18 litapriori = 1
% 0.76/1.18 termapriori = 0
% 0.76/1.18 litaposteriori = 0
% 0.76/1.18 termaposteriori = 0
% 0.76/1.18 demodaposteriori = 0
% 0.76/1.18 ordereqreflfact = 0
% 0.76/1.18
% 0.76/1.18 litselect = negative
% 0.76/1.18
% 0.76/1.18 maxweight = 30000
% 0.76/1.18 maxdepth = 30000
% 0.76/1.18 maxlength = 115
% 0.76/1.18 maxnrvars = 195
% 0.76/1.18 excuselevel = 0
% 0.76/1.18 increasemaxweight = 0
% 0.76/1.18
% 0.76/1.18 maxselected = 10000000
% 0.76/1.18 maxnrclauses = 10000000
% 0.76/1.18
% 0.76/1.18 showgenerated = 0
% 0.76/1.18 showkept = 0
% 0.76/1.18 showselected = 0
% 0.76/1.18 showdeleted = 0
% 0.76/1.18 showresimp = 1
% 0.76/1.18 showstatus = 2000
% 0.76/1.18
% 0.76/1.18 prologoutput = 1
% 0.76/1.18 nrgoals = 5000000
% 0.76/1.18 totalproof = 1
% 0.76/1.18
% 0.76/1.18 Symbols occurring in the translation:
% 0.76/1.18
% 0.76/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.18 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.76/1.18 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.76/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.18 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.18 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.76/1.18 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.76/1.18 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.76/1.18 y [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 Starting Search:
% 0.76/1.18
% 0.76/1.18 Resimplifying inuse:
% 0.76/1.18 Done
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 Intermediate Status:
% 0.76/1.18 Generated: 8948
% 0.76/1.18 Kept: 2000
% 0.76/1.18 Inuse: 377
% 0.76/1.18 Deleted: 44
% 0.76/1.18 Deletedinuse: 17
% 0.76/1.18
% 0.76/1.18 Resimplifying inuse:
% 0.76/1.18 Done
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 Bliksems!, er is een bewijs:
% 0.76/1.18 % SZS status Unsatisfiable
% 0.76/1.18 % SZS output start Refutation
% 0.76/1.18
% 0.76/1.18 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.76/1.18 ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.76/1.18 , Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( x ), not( implies( y
% 0.76/1.18 , y ) ) ), x ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.76/1.18 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.76/1.18 )
% 0.76/1.18 .
% 0.76/1.18 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.76/1.18 not( X ), X ), Y ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.76/1.18 , implies( X, Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.76/1.18 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.76/1.18 X ), Y ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.76/1.18 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.76/1.18 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.76/1.18 , implies( X, Z ) ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.76/1.18 , Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.76/1.18 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.76/1.18 implies( Z, Y ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 169, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), Y )
% 0.76/1.18 , Y ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 173, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( implies( not( Y ), Y ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.76/1.18 implies( X, Y ) ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.76/1.18 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.76/1.18 ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.76/1.18 ), Z ), Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.76/1.18 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.76/1.18 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 1535, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.76/1.18 ), implies( Z, implies( X, Y ) ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 1811, [ 'is_a_theorem'( implies( X, implies( implies( Y, not(
% 0.76/1.18 implies( Z, Z ) ) ), implies( Y, T ) ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 1856, [ 'is_a_theorem'( implies( implies( X, not( implies( Y, Y ) )
% 0.76/1.18 ), implies( X, Z ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 1858, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, not( implies( Y, Y ) ) ), implies( X, Z ) ), T ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 2690, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), not(
% 0.76/1.18 implies( Z, Z ) ) ), Y ) ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 2728, [ 'is_a_theorem'( implies( implies( not( X ), not( implies( Y
% 0.76/1.18 , Y ) ) ), X ) ) ] )
% 0.76/1.18 .
% 0.76/1.18 clause( 2730, [] )
% 0.76/1.18 .
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 % SZS output end Refutation
% 0.76/1.18 found a proof!
% 0.76/1.18
% 0.76/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.18
% 0.76/1.18 initialclauses(
% 0.76/1.18 [ clause( 2732, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.76/1.18 X ) ), 'is_a_theorem'( Y ) ] )
% 0.76/1.18 , clause( 2733, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , clause( 2734, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , clause( 2735, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , clause( 2736, [ ~( 'is_a_theorem'( implies( implies( not( x ), not(
% 0.76/1.18 implies( y, y ) ) ), x ) ) ) ] )
% 0.76/1.18 ] ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.76/1.18 ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , clause( 2732, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.76/1.18 X ) ), 'is_a_theorem'( Y ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.18 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.76/1.18 , Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , clause( 2733, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.76/1.18 , clause( 2734, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.76/1.18 , clause( 2735, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.18 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( x ), not( implies( y
% 0.76/1.18 , y ) ) ), x ) ) ) ] )
% 0.76/1.18 , clause( 2736, [ ~( 'is_a_theorem'( implies( implies( not( x ), not(
% 0.76/1.18 implies( y, y ) ) ), x ) ) ) ] )
% 0.76/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2738, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.76/1.18 , X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.76/1.18 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.76/1.18 , clause( 2738, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.76/1.18 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.18 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2740, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ),
% 0.76/1.18 Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.76/1.18 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.76/1.18 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 , clause( 2740, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.76/1.18 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2742, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.76/1.18 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.76/1.18 ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.76/1.18 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.76/1.18 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , clause( 2742, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.76/1.18 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.76/1.18 ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2743, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.76/1.18 not( X ), X ), Y ) ) ) ] )
% 0.76/1.18 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.76/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 0.76/1.18 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 0.76/1.18 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.76/1.18 not( X ), X ), Y ) ) ) ] )
% 0.76/1.18 , clause( 2743, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( not( X ), X ), Y ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.18 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2745, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.76/1.18 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( not( X ), X ), Y ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.76/1.18 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.18 :=( Y, Y )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 , clause( 2745, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.76/1.18 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2746, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.76/1.18 ), implies( X, Z ) ) ) ] )
% 0.76/1.18 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.76/1.18 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.76/1.18 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.76/1.18 , implies( X, Z ) ) ) ] )
% 0.76/1.18 , clause( 2746, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.76/1.18 , Z ), implies( X, Z ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2747, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.76/1.18 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.18 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.76/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.76/1.18 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.76/1.18 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.76/1.18 ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.76/1.18 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.18 , clause( 2747, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.76/1.18 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2748, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.76/1.18 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.76/1.18 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.76/1.18 , Z ), implies( X, Z ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.76/1.18 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.76/1.18 , clause( 2748, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2750, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.76/1.18 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.76/1.18 , Z ), implies( X, Z ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.76/1.18 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.18 :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.76/1.18 , clause( 2750, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.76/1.18 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2752, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.76/1.18 'is_a_theorem'( Y ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.76/1.18 substitution( 1, [ :=( X, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.76/1.18 X ), Y ) ) ) ] )
% 0.76/1.18 , clause( 2752, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.76/1.18 'is_a_theorem'( Y ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.18 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2753, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.76/1.18 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , X ), Y ) ) ) ] )
% 0.76/1.18 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.76/1.18 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.76/1.18 ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.76/1.18 , clause( 2753, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.18 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2755, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X ) )
% 0.76/1.18 , Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.76/1.18 )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.76/1.18 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.76/1.18 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.76/1.18 , clause( 2755, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.76/1.18 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2757, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.76/1.18 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.76/1.18 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.76/1.18 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.76/1.18 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 0.76/1.18 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.76/1.18 ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.76/1.18 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.76/1.18 , clause( 2757, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.76/1.18 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.76/1.18 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.18 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2758, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.76/1.18 , implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.76/1.18 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.76/1.18 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.76/1.18 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.76/1.18 implies( Y, implies( X, Z ) ) )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.76/1.18 , implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , clause( 2758, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.76/1.18 Y, implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2759, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.76/1.18 , Z ) ) ) ] )
% 0.76/1.18 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.76/1.18 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.76/1.18 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.76/1.18 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.76/1.18 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.76/1.18 , Z ) ) ) ] )
% 0.76/1.18 , clause( 2759, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.76/1.18 ), Z ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2761, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y ) )
% 0.76/1.18 , implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.76/1.18 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 0.76/1.18 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.18 :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.76/1.18 , clause( 2761, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 0.76/1.18 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2763, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.76/1.18 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.76/1.18 ) ), Z ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.76/1.18 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.76/1.18 Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.76/1.18 , clause( 2763, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.76/1.18 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2764, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.76/1.18 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.76/1.18 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.76/1.18 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.76/1.18 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.76/1.18 Y ) ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.76/1.18 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.76/1.18 , clause( 2764, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.76/1.18 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2765, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.76/1.18 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.76/1.18 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.76/1.18 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.76/1.18 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.76/1.18 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.76/1.18 , clause( 2765, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.18 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2767, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) ),
% 0.76/1.18 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.76/1.18 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.76/1.18 , clause( 2767, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.76/1.18 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2768, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.76/1.18 implies( Z, Y ) ) ) ] )
% 0.76/1.18 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 X, implies( Y, Y ) ), Z ) ) ) ] )
% 0.76/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 0.76/1.18 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 0.76/1.18 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.76/1.18 implies( Z, Y ) ) ) ] )
% 0.76/1.18 , clause( 2768, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.76/1.18 implies( Z, Y ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2769, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), Y )
% 0.76/1.18 , Y ) ) ) ] )
% 0.76/1.18 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 , 1, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.76/1.18 , implies( Z, Y ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, implies( X, implies(
% 0.76/1.18 implies( not( Y ), Y ), Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.76/1.18 , implies( implies( not( Y ), Y ), Y ) ), :=( Z, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 169, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), Y )
% 0.76/1.18 , Y ) ) ) ] )
% 0.76/1.18 , clause( 2769, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), Y
% 0.76/1.18 ), Y ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.18 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2771, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.76/1.18 ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.76/1.18 , implies( Z, Y ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.76/1.18 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.76/1.18 , Y ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.76/1.18 , clause( 2771, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.76/1.18 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2773, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.76/1.18 not( Y ), Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 169, [ 'is_a_theorem'( implies( X, implies( implies( not( Y )
% 0.76/1.18 , Y ), Y ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( not( Y ), Y )
% 0.76/1.18 , Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.76/1.18 ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 173, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( implies( not( Y ), Y ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 , clause( 2773, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.76/1.18 not( Y ), Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2774, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.76/1.18 implies( X, Y ) ) ) ) ] )
% 0.76/1.18 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.76/1.18 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 0.76/1.18 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.76/1.18 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 0.76/1.18 , implies( X, Y ) ) )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.76/1.18 implies( X, Y ) ) ) ) ] )
% 0.76/1.18 , clause( 2774, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.76/1.18 implies( X, Y ) ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2775, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.76/1.18 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.76/1.18 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.76/1.18 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 0.76/1.18 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 0.76/1.18 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 0.76/1.18 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.76/1.18 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.76/1.18 , clause( 2775, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.76/1.18 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2776, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.76/1.18 ) ] )
% 0.76/1.18 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.76/1.18 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.76/1.18 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 0.76/1.18 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 0.76/1.18 Z, Y ), :=( T, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.76/1.18 ) ] )
% 0.76/1.18 , clause( 2776, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 0.76/1.18 ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.18 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2778, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.76/1.18 ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.76/1.18 , Y ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 0.76/1.18 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.76/1.18 , clause( 2778, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.76/1.18 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2779, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.76/1.18 ), Z ), Z ) ) ) ] )
% 0.76/1.18 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.76/1.18 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.76/1.18 implies( X, Y ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.76/1.18 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.76/1.18 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.76/1.18 ), Z ), Z ) ) ) ] )
% 0.76/1.18 , clause( 2779, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.76/1.18 , Y ), Z ), Z ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2781, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.76/1.18 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.76/1.18 Y, Y ), Z ), Z ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 0.76/1.18 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.76/1.18 ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.76/1.18 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.76/1.18 , clause( 2781, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.76/1.18 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2782, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.76/1.18 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.76/1.18 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.76/1.18 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.76/1.18 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.76/1.18 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.76/1.18 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 0.76/1.18 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 0.76/1.18 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 0.76/1.18 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 0.76/1.18 ) ) )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.76/1.18 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.76/1.18 , clause( 2782, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.76/1.18 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2783, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.76/1.18 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.76/1.18 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.76/1.18 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 0.76/1.18 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 0.76/1.18 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.76/1.18 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , clause( 2783, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.76/1.18 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2784, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.76/1.18 ), implies( Z, implies( X, Y ) ) ) ) ] )
% 0.76/1.18 , clause( 173, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 X, implies( implies( not( Y ), Y ), Y ) ), Z ) ) ) ] )
% 0.76/1.18 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.76/1.18 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, implies( implies( X
% 0.76/1.18 , implies( not( Y ), Y ) ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.76/1.18 substitution( 1, [ :=( X, Z ), :=( Y, implies( not( Y ), Y ) ), :=( Z, Y
% 0.76/1.18 ), :=( T, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 1535, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.76/1.18 ), implies( Z, implies( X, Y ) ) ) ) ] )
% 0.76/1.18 , clause( 2784, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 0.76/1.18 ) ), implies( Z, implies( X, Y ) ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2785, [ 'is_a_theorem'( implies( X, implies( implies( Y, not(
% 0.76/1.18 implies( Z, Z ) ) ), implies( Y, T ) ) ) ) ] )
% 0.76/1.18 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.76/1.18 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( Z, Z ) ), :=( Z, T ),
% 0.76/1.18 :=( T, implies( X, implies( implies( Y, not( implies( Z, Z ) ) ), implies(
% 0.76/1.18 Y, T ) ) ) )] ), substitution( 1, [ :=( X, implies( Y, not( implies( Z, Z
% 0.76/1.18 ) ) ) ), :=( Y, Z ), :=( Z, implies( Y, T ) ), :=( T, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 1811, [ 'is_a_theorem'( implies( X, implies( implies( Y, not(
% 0.76/1.18 implies( Z, Z ) ) ), implies( Y, T ) ) ) ) ] )
% 0.76/1.18 , clause( 2785, [ 'is_a_theorem'( implies( X, implies( implies( Y, not(
% 0.76/1.18 implies( Z, Z ) ) ), implies( Y, T ) ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2786, [ 'is_a_theorem'( implies( implies( X, not( implies( Y, Y ) )
% 0.76/1.18 ), implies( X, Z ) ) ) ] )
% 0.76/1.18 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 1811, [ 'is_a_theorem'( implies( X, implies( implies( Y, not(
% 0.76/1.18 implies( Z, Z ) ) ), implies( Y, T ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, W ), :=( T, implies(
% 0.76/1.18 implies( X, not( implies( Y, Y ) ) ), implies( X, Z ) ) )] ),
% 0.76/1.18 substitution( 1, [ :=( X, implies( implies( T, not( U ) ), implies( U,
% 0.76/1.18 implies( T, W ) ) ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 1856, [ 'is_a_theorem'( implies( implies( X, not( implies( Y, Y ) )
% 0.76/1.18 ), implies( X, Z ) ) ) ] )
% 0.76/1.18 , clause( 2786, [ 'is_a_theorem'( implies( implies( X, not( implies( Y, Y )
% 0.76/1.18 ) ), implies( X, Z ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2788, [ ~( 'is_a_theorem'( implies( implies( implies( X, not(
% 0.76/1.18 implies( Y, Y ) ) ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.76/1.18 , ~( 'is_a_theorem'( X ) ) ] )
% 0.76/1.18 , 2, clause( 1856, [ 'is_a_theorem'( implies( implies( X, not( implies( Y,
% 0.76/1.18 Y ) ) ), implies( X, Z ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, implies( implies( X, not( implies( Y, Y ) )
% 0.76/1.18 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.18 :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 1858, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, not( implies( Y, Y ) ) ), implies( X, Z ) ), T ) ) ) ] )
% 0.76/1.18 , clause( 2788, [ ~( 'is_a_theorem'( implies( implies( implies( X, not(
% 0.76/1.18 implies( Y, Y ) ) ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2789, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), not(
% 0.76/1.18 implies( Z, Z ) ) ), Y ) ) ) ] )
% 0.76/1.18 , clause( 1858, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, not( implies( Y, Y ) ) ), implies( X, Z ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 1535, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.76/1.18 , Y ) ), implies( Z, implies( X, Y ) ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 0.76/1.18 implies( X, implies( implies( not( Y ), not( implies( Z, Z ) ) ), Y ) ) )] )
% 0.76/1.18 , substitution( 1, [ :=( X, implies( not( Y ), not( implies( Z, Z ) ) ) )
% 0.76/1.18 , :=( Y, Y ), :=( Z, X )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 2690, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ), not(
% 0.76/1.18 implies( Z, Z ) ) ), Y ) ) ) ] )
% 0.76/1.18 , clause( 2789, [ 'is_a_theorem'( implies( X, implies( implies( not( Y ),
% 0.76/1.18 not( implies( Z, Z ) ) ), Y ) ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2790, [ 'is_a_theorem'( implies( implies( not( X ), not( implies( Y
% 0.76/1.18 , Y ) ) ), X ) ) ] )
% 0.76/1.18 , clause( 1858, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.76/1.18 implies( X, not( implies( Y, Y ) ) ), implies( X, Z ) ), T ) ) ) ] )
% 0.76/1.18 , 1, clause( 2690, [ 'is_a_theorem'( implies( X, implies( implies( not( Y )
% 0.76/1.18 , not( implies( Z, Z ) ) ), Y ) ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.76/1.18 implies( not( X ), not( implies( Y, Y ) ) ), X ) )] ), substitution( 1, [
% 0.76/1.18 :=( X, implies( implies( Z, not( implies( T, T ) ) ), implies( Z, U ) )
% 0.76/1.18 ), :=( Y, X ), :=( Z, Y )] )).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 2728, [ 'is_a_theorem'( implies( implies( not( X ), not( implies( Y
% 0.76/1.18 , Y ) ) ), X ) ) ] )
% 0.76/1.18 , clause( 2790, [ 'is_a_theorem'( implies( implies( not( X ), not( implies(
% 0.76/1.18 Y, Y ) ) ), X ) ) ] )
% 0.76/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.18 )] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 resolution(
% 0.76/1.18 clause( 2791, [] )
% 0.76/1.18 , clause( 4, [ ~( 'is_a_theorem'( implies( implies( not( x ), not( implies(
% 0.76/1.18 y, y ) ) ), x ) ) ) ] )
% 0.76/1.18 , 0, clause( 2728, [ 'is_a_theorem'( implies( implies( not( X ), not(
% 0.76/1.18 implies( Y, Y ) ) ), X ) ) ] )
% 0.76/1.18 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.76/1.18 ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 subsumption(
% 0.76/1.18 clause( 2730, [] )
% 0.76/1.18 , clause( 2791, [] )
% 0.76/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 end.
% 0.76/1.18
% 0.76/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.18
% 0.76/1.18 Memory use:
% 0.76/1.18
% 0.76/1.18 space for terms: 56145
% 0.76/1.18 space for clauses: 310226
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 clauses generated: 12885
% 0.76/1.18 clauses kept: 2731
% 0.76/1.18 clauses selected: 469
% 0.76/1.18 clauses deleted: 52
% 0.76/1.18 clauses inuse deleted: 17
% 0.76/1.18
% 0.76/1.18 subsentry: 10777
% 0.76/1.18 literals s-matched: 10208
% 0.76/1.18 literals matched: 10207
% 0.76/1.18 full subsumption: 0
% 0.76/1.18
% 0.76/1.18 checksum: -834826915
% 0.76/1.18
% 0.76/1.18
% 0.76/1.18 Bliksem ended
%------------------------------------------------------------------------------