TSTP Solution File: LCL057-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL057-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:49:43 EDT 2022
% Result : Unsatisfiable 0.95s 1.31s
% Output : Refutation 0.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n005.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 11:04:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.95/1.31 *** allocated 10000 integers for termspace/termends
% 0.95/1.31 *** allocated 10000 integers for clauses
% 0.95/1.31 *** allocated 10000 integers for justifications
% 0.95/1.31 Bliksem 1.12
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Automatic Strategy Selection
% 0.95/1.31
% 0.95/1.31 Clauses:
% 0.95/1.31 [
% 0.95/1.31 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.95/1.31 'is_a_theorem'( Y ) ],
% 0.95/1.31 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.95/1.31 implies( X, Z ) ) ) ) ],
% 0.95/1.31 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.95/1.31 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.95/1.31 [ ~( 'is_a_theorem'( implies( a, not( not( a ) ) ) ) ) ]
% 0.95/1.31 ] .
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 percentage equality = 0.000000, percentage horn = 1.000000
% 0.95/1.31 This is a near-Horn, non-equality problem
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Options Used:
% 0.95/1.31
% 0.95/1.31 useres = 1
% 0.95/1.31 useparamod = 0
% 0.95/1.31 useeqrefl = 0
% 0.95/1.31 useeqfact = 0
% 0.95/1.31 usefactor = 1
% 0.95/1.31 usesimpsplitting = 0
% 0.95/1.31 usesimpdemod = 0
% 0.95/1.31 usesimpres = 4
% 0.95/1.31
% 0.95/1.31 resimpinuse = 1000
% 0.95/1.31 resimpclauses = 20000
% 0.95/1.31 substype = standard
% 0.95/1.31 backwardsubs = 1
% 0.95/1.31 selectoldest = 5
% 0.95/1.31
% 0.95/1.31 litorderings [0] = split
% 0.95/1.31 litorderings [1] = liftord
% 0.95/1.31
% 0.95/1.31 termordering = none
% 0.95/1.31
% 0.95/1.31 litapriori = 1
% 0.95/1.31 termapriori = 0
% 0.95/1.31 litaposteriori = 0
% 0.95/1.31 termaposteriori = 0
% 0.95/1.31 demodaposteriori = 0
% 0.95/1.31 ordereqreflfact = 0
% 0.95/1.31
% 0.95/1.31 litselect = negative
% 0.95/1.31
% 0.95/1.31 maxweight = 30000
% 0.95/1.31 maxdepth = 30000
% 0.95/1.31 maxlength = 115
% 0.95/1.31 maxnrvars = 195
% 0.95/1.31 excuselevel = 0
% 0.95/1.31 increasemaxweight = 0
% 0.95/1.31
% 0.95/1.31 maxselected = 10000000
% 0.95/1.31 maxnrclauses = 10000000
% 0.95/1.31
% 0.95/1.31 showgenerated = 0
% 0.95/1.31 showkept = 0
% 0.95/1.31 showselected = 0
% 0.95/1.31 showdeleted = 0
% 0.95/1.31 showresimp = 1
% 0.95/1.31 showstatus = 2000
% 0.95/1.31
% 0.95/1.31 prologoutput = 1
% 0.95/1.31 nrgoals = 5000000
% 0.95/1.31 totalproof = 1
% 0.95/1.31
% 0.95/1.31 Symbols occurring in the translation:
% 0.95/1.31
% 0.95/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.95/1.31 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.95/1.31 ! [4, 1] (w:1, o:13, a:1, s:1, b:0),
% 0.95/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.31 implies [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.95/1.31 'is_a_theorem' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.95/1.31 not [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.95/1.31 a [45, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Starting Search:
% 0.95/1.31
% 0.95/1.31 Resimplifying inuse:
% 0.95/1.31 Done
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Intermediate Status:
% 0.95/1.31 Generated: 8948
% 0.95/1.31 Kept: 2000
% 0.95/1.31 Inuse: 377
% 0.95/1.31 Deleted: 44
% 0.95/1.31 Deletedinuse: 17
% 0.95/1.31
% 0.95/1.31 Resimplifying inuse:
% 0.95/1.31 Done
% 0.95/1.31
% 0.95/1.31 Resimplifying inuse:
% 0.95/1.31 Done
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Intermediate Status:
% 0.95/1.31 Generated: 18456
% 0.95/1.31 Kept: 4018
% 0.95/1.31 Inuse: 595
% 0.95/1.31 Deleted: 59
% 0.95/1.31 Deletedinuse: 19
% 0.95/1.31
% 0.95/1.31 Resimplifying inuse:
% 0.95/1.31 Done
% 0.95/1.31
% 0.95/1.31 Resimplifying inuse:
% 0.95/1.31 Done
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Intermediate Status:
% 0.95/1.31 Generated: 31457
% 0.95/1.31 Kept: 6020
% 0.95/1.31 Inuse: 752
% 0.95/1.31 Deleted: 98
% 0.95/1.31 Deletedinuse: 39
% 0.95/1.31
% 0.95/1.31 Resimplifying inuse:
% 0.95/1.31 Done
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Bliksems!, er is een bewijs:
% 0.95/1.31 % SZS status Unsatisfiable
% 0.95/1.31 % SZS output start Refutation
% 0.95/1.31
% 0.95/1.31 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.95/1.31 ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.95/1.31 , Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 4, [ ~( 'is_a_theorem'( implies( a, not( not( a ) ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.95/1.31 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 .
% 0.95/1.31 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.95/1.31 not( X ), X ), Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.95/1.31 , implies( X, Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.95/1.31 X ), Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.95/1.31 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.95/1.31 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.95/1.31 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.95/1.31 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.95/1.31 Y ), Z ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.95/1.31 , implies( X, Z ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.95/1.31 , Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.95/1.31 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.95/1.31 implies( Z, Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.95/1.31 implies( X, Y ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.95/1.31 ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.95/1.31 ), Z ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 0.95/1.31 ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.95/1.31 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.95/1.31 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.95/1.31 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.95/1.31 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.95/1.31 ), X ), X ), Y ), Y ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.95/1.31 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.95/1.31 ), implies( X, Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 0.95/1.31 implies( Y, X ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( Y, X ) ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.95/1.31 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 not( not( X ) ), X ), Y ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.95/1.31 .
% 0.95/1.31 clause( 6534, [] )
% 0.95/1.31 .
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 % SZS output end Refutation
% 0.95/1.31 found a proof!
% 0.95/1.31
% 0.95/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.95/1.31
% 0.95/1.31 initialclauses(
% 0.95/1.31 [ clause( 6536, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.95/1.31 X ) ), 'is_a_theorem'( Y ) ] )
% 0.95/1.31 , clause( 6537, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , clause( 6538, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , clause( 6539, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , clause( 6540, [ ~( 'is_a_theorem'( implies( a, not( not( a ) ) ) ) ) ] )
% 0.95/1.31 ] ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.95/1.31 ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , clause( 6536, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.95/1.31 X ) ), 'is_a_theorem'( Y ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.95/1.31 , Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , clause( 6537, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.95/1.31 , clause( 6538, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.95/1.31 , clause( 6539, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 4, [ ~( 'is_a_theorem'( implies( a, not( not( a ) ) ) ) ) ] )
% 0.95/1.31 , clause( 6540, [ ~( 'is_a_theorem'( implies( a, not( not( a ) ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6542, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.95/1.31 , X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.95/1.31 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.95/1.31 , clause( 6542, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.95/1.31 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.95/1.31 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6544, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ),
% 0.95/1.31 Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.95/1.31 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.95/1.31 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6544, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.95/1.31 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6546, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.95/1.31 ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.95/1.31 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.95/1.31 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , clause( 6546, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.95/1.31 ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6547, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.95/1.31 not( X ), X ), Y ) ) ) ] )
% 0.95/1.31 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 0.95/1.31 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 0.95/1.31 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.95/1.31 not( X ), X ), Y ) ) ) ] )
% 0.95/1.31 , clause( 6547, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( not( X ), X ), Y ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6549, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( not( X ), X ), Y ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.95/1.31 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.95/1.31 :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6549, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6550, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.95/1.31 ), implies( X, Z ) ) ) ] )
% 0.95/1.31 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.95/1.31 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.95/1.31 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.95/1.31 , implies( X, Z ) ) ) ] )
% 0.95/1.31 , clause( 6550, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.95/1.31 , Z ), implies( X, Z ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6551, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.95/1.31 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.95/1.31 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.95/1.31 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.95/1.31 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.95/1.31 ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , clause( 6551, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.95/1.31 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6552, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.95/1.31 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.95/1.31 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.95/1.31 , Z ), implies( X, Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.95/1.31 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.95/1.31 , clause( 6552, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6554, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.95/1.31 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.95/1.31 , Z ), implies( X, Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.95/1.31 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.95/1.31 :=( Y, Y ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6554, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.95/1.31 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6556, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.95/1.31 'is_a_theorem'( Y ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.95/1.31 substitution( 1, [ :=( X, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.95/1.31 X ), Y ) ) ) ] )
% 0.95/1.31 , clause( 6556, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.95/1.31 'is_a_theorem'( Y ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.95/1.31 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6557, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.95/1.31 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , X ), Y ) ) ) ] )
% 0.95/1.31 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.95/1.31 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.95/1.31 ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.95/1.31 , clause( 6557, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6559, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X ) )
% 0.95/1.31 , Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.95/1.31 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.95/1.31 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6559, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.95/1.31 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6560, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.95/1.31 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.95/1.31 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 0.95/1.31 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 0.95/1.31 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.95/1.31 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6560, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.95/1.31 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6561, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.95/1.31 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.95/1.31 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.95/1.31 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 0.95/1.31 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 0.95/1.31 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 0.95/1.31 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 0.95/1.31 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.95/1.31 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.95/1.31 , clause( 6561, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6563, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.95/1.31 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.95/1.31 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 0.95/1.31 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.95/1.31 ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.95/1.31 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.95/1.31 , clause( 6563, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.95/1.31 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.95/1.31 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6565, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.95/1.31 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.95/1.31 ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.95/1.31 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.95/1.31 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 0.95/1.31 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.95/1.31 Y ), Z ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6565, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.95/1.31 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.95/1.31 ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6566, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.95/1.31 , implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.95/1.31 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.95/1.31 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.95/1.31 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.95/1.31 implies( Y, implies( X, Z ) ) )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.95/1.31 , implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , clause( 6566, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.95/1.31 Y, implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6567, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.95/1.31 , Z ) ) ) ] )
% 0.95/1.31 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.95/1.31 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.95/1.31 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.95/1.31 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.95/1.31 , Z ) ) ) ] )
% 0.95/1.31 , clause( 6567, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.95/1.31 ), Z ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6569, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y ) )
% 0.95/1.31 , implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.95/1.31 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 0.95/1.31 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.95/1.31 :=( Y, Y ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6569, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 0.95/1.31 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6571, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.95/1.31 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.95/1.31 ) ), Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.95/1.31 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.95/1.31 Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6571, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.95/1.31 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6572, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.95/1.31 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.95/1.31 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.95/1.31 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.95/1.31 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.95/1.31 Y ) ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.95/1.31 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.95/1.31 , clause( 6572, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.95/1.31 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6573, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.95/1.31 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.95/1.31 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.95/1.31 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.95/1.31 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.95/1.31 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.95/1.31 , clause( 6573, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6575, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) ),
% 0.95/1.31 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.95/1.31 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6575, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.95/1.31 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6576, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.95/1.31 implies( Z, Y ) ) ) ] )
% 0.95/1.31 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 X, implies( Y, Y ) ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 0.95/1.31 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 0.95/1.31 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.95/1.31 implies( Z, Y ) ) ) ] )
% 0.95/1.31 , clause( 6576, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.95/1.31 implies( Z, Y ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6578, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.95/1.31 ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.95/1.31 , implies( Z, Y ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.95/1.31 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.95/1.31 , Y ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6578, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.95/1.31 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6579, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.95/1.31 implies( X, Y ) ) ) ) ] )
% 0.95/1.31 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.95/1.31 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 0.95/1.31 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.95/1.31 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 0.95/1.31 , implies( X, Y ) ) )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.95/1.31 implies( X, Y ) ) ) ) ] )
% 0.95/1.31 , clause( 6579, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.95/1.31 implies( X, Y ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6580, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 0.95/1.31 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 0.95/1.31 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 0.95/1.31 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6580, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6582, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.95/1.31 implies( X, Y ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.95/1.31 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.95/1.31 Y, Y ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6582, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.95/1.31 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6583, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.95/1.31 ) ] )
% 0.95/1.31 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.95/1.31 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.95/1.31 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 0.95/1.31 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 0.95/1.31 Z, Y ), :=( T, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.95/1.31 ) ] )
% 0.95/1.31 , clause( 6583, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 0.95/1.31 ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6585, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.95/1.31 ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.95/1.31 , Y ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 0.95/1.31 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6585, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.95/1.31 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6586, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.95/1.31 ), Z ), Z ) ) ) ] )
% 0.95/1.31 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.95/1.31 implies( X, Y ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.95/1.31 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.95/1.31 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.95/1.31 ), Z ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6586, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.95/1.31 , Y ), Z ), Z ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6588, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.95/1.31 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.95/1.31 Y, Y ), Z ), Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 0.95/1.31 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.95/1.31 ), :=( Z, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6588, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.95/1.31 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6589, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ),
% 0.95/1.31 Z ) ) ) ) ] )
% 0.95/1.31 , clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.95/1.31 , Z ), implies( X, Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 0.95/1.31 implies( X, implies( Y, implies( not( X ), Z ) ) ) )] ), substitution( 1
% 0.95/1.31 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( not( X ), Z ) ) )] )
% 0.95/1.31 ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 0.95/1.31 ) ) ) ) ] )
% 0.95/1.31 , clause( 6589, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 0.95/1.31 , Z ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6591, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.95/1.31 not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 0.95/1.31 ), Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not( X ), Z
% 0.95/1.31 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.95/1.31 , Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6591, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.95/1.31 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6592, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.95/1.31 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.95/1.31 , clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 X, implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.95/1.31 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) )] )
% 0.95/1.31 , substitution( 1, [ :=( X, Y ), :=( Y, implies( X, implies( not( Y ), Z
% 0.95/1.31 ) ) ), :=( Z, T )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.95/1.31 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.95/1.31 , clause( 6592, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.95/1.31 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6593, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.95/1.31 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.95/1.31 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.95/1.31 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.95/1.31 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.95/1.31 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.95/1.31 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 0.95/1.31 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 0.95/1.31 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 0.95/1.31 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 0.95/1.31 ) ) )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.95/1.31 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.95/1.31 , clause( 6593, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.95/1.31 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6594, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.95/1.31 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.95/1.31 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.95/1.31 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 0.95/1.31 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 0.95/1.31 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.95/1.31 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , clause( 6594, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.95/1.31 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6595, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.95/1.31 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.95/1.31 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.95/1.31 Y ), Z ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.95/1.31 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.95/1.31 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 0.95/1.31 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 0.95/1.31 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.95/1.31 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6595, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.95/1.31 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6596, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.95/1.31 ), X ), X ), Y ), Y ) ) ] )
% 0.95/1.31 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.95/1.31 Y ), Z ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.95/1.31 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.95/1.31 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 0.95/1.31 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 0.95/1.31 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 0.95/1.31 ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.95/1.31 ), X ), X ), Y ), Y ) ) ] )
% 0.95/1.31 , clause( 6596, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.95/1.31 X ), X ), X ), Y ), Y ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6598, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.95/1.31 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.95/1.31 not( X ), X ), X ), Y ), Y ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.95/1.31 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.95/1.31 :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6598, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.95/1.31 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6599, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.95/1.31 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.95/1.31 implies( implies( X, implies( Y, Z ) ), T ), implies( implies( Y, not( X
% 0.95/1.31 ) ), T ) ) )] ), substitution( 1, [ :=( X, implies( Y, not( X ) ) ),
% 0.95/1.31 :=( Y, implies( X, implies( Y, Z ) ) ), :=( Z, T )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.95/1.31 ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.95/1.31 , clause( 6599, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.95/1.31 , Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6600, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.95/1.31 ), implies( X, Y ) ) ) ] )
% 0.95/1.31 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.95/1.31 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 0.95/1.31 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 0.95/1.31 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 0.95/1.31 ), :=( T, implies( X, Y ) )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.95/1.31 ), implies( X, Y ) ) ) ] )
% 0.95/1.31 , clause( 6600, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 0.95/1.31 ) ), implies( X, Y ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6602, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.95/1.31 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.95/1.31 , Y ) ), implies( X, Y ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 0.95/1.31 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.95/1.31 :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6602, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.95/1.31 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6603, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 0.95/1.31 implies( Y, X ) ) ) ] )
% 0.95/1.31 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 1852, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.95/1.31 Y, Z ) ), T ), implies( implies( Y, not( X ) ), T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 0.95/1.31 not( X ), not( Y ) ), implies( Y, X ) ) )] ), substitution( 1, [ :=( X, Y
% 0.95/1.31 ), :=( Y, not( X ) ), :=( Z, X ), :=( T, implies( Y, X ) )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 0.95/1.31 implies( Y, X ) ) ) ] )
% 0.95/1.31 , clause( 6603, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) ),
% 0.95/1.31 implies( Y, X ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6604, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.95/1.31 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.95/1.31 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 0.95/1.31 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 0.95/1.31 :=( T, implies( Y, X ) )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.95/1.31 , clause( 6604, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6606, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ),
% 0.95/1.31 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.95/1.31 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.95/1.31 , implies( Y, X ) ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6606, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.95/1.31 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6607, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.95/1.31 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 0.95/1.31 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 0.95/1.31 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 0.95/1.31 :=( T, Z )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6607, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6608, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.95/1.31 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , 1, clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.95/1.31 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.95/1.31 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 0.95/1.31 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 0.95/1.31 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.95/1.31 , clause( 6608, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.95/1.31 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6609, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.95/1.31 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.95/1.31 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.95/1.31 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.95/1.31 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.95/1.31 implies( implies( X, implies( Y, Z ) ), T ), implies( not( X ), T ) ) )] )
% 0.95/1.31 , substitution( 1, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.95/1.31 implies( Y, Z ) ) ), :=( T, T )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.95/1.31 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.95/1.31 , clause( 6609, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.95/1.31 , Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6610, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.95/1.31 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.95/1.31 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( X ),
% 0.95/1.31 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )
% 0.95/1.31 , :=( Z, Y ), :=( T, implies( X, Y ) )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.95/1.31 , clause( 6610, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 0.95/1.31 )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.95/1.31 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6612, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X,
% 0.95/1.31 Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 0.95/1.31 ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 0.95/1.31 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.95/1.31 , clause( 6612, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 0.95/1.31 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.95/1.31 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6613, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.95/1.31 , clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.95/1.31 , 1, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.95/1.31 , Y ) ), implies( X, Y ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, implies( not(
% 0.95/1.31 not( X ) ), X ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y
% 0.95/1.31 , X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.95/1.31 , clause( 6613, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6615, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X ),
% 0.95/1.31 Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.95/1.31 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.95/1.31 , ~( 'is_a_theorem'( X ) ) ] )
% 0.95/1.31 , 2, clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, implies( not( not( X ) ), X ) ), :=( Y, Y )] )
% 0.95/1.31 , substitution( 1, [ :=( X, X )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 not( not( X ) ), X ), Y ) ) ) ] )
% 0.95/1.31 , clause( 6615, [ ~( 'is_a_theorem'( implies( implies( not( not( X ) ), X )
% 0.95/1.31 , Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.95/1.31 ), ==>( 1, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6616, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.95/1.31 , clause( 5989, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.95/1.31 not( not( X ) ), X ), Y ) ) ) ] )
% 0.95/1.31 , 1, clause( 4724, [ 'is_a_theorem'( implies( implies( not( X ), not( Y ) )
% 0.95/1.31 , implies( Y, X ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, implies( X, not( not( X )
% 0.95/1.31 ) ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y, X )] )
% 0.95/1.31 ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.95/1.31 , clause( 6616, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.95/1.31 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 resolution(
% 0.95/1.31 clause( 6617, [] )
% 0.95/1.31 , clause( 4, [ ~( 'is_a_theorem'( implies( a, not( not( a ) ) ) ) ) ] )
% 0.95/1.31 , 0, clause( 6369, [ 'is_a_theorem'( implies( X, not( not( X ) ) ) ) ] )
% 0.95/1.31 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 subsumption(
% 0.95/1.31 clause( 6534, [] )
% 0.95/1.31 , clause( 6617, [] )
% 0.95/1.31 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 end.
% 0.95/1.31
% 0.95/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.95/1.31
% 0.95/1.31 Memory use:
% 0.95/1.31
% 0.95/1.31 space for terms: 137122
% 0.95/1.31 space for clauses: 733142
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 clauses generated: 32710
% 0.95/1.31 clauses kept: 6535
% 0.95/1.31 clauses selected: 788
% 0.95/1.31 clauses deleted: 108
% 0.95/1.31 clauses inuse deleted: 47
% 0.95/1.31
% 0.95/1.31 subsentry: 27466
% 0.95/1.31 literals s-matched: 26285
% 0.95/1.31 literals matched: 26284
% 0.95/1.31 full subsumption: 0
% 0.95/1.31
% 0.95/1.31 checksum: -1325156887
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Bliksem ended
%------------------------------------------------------------------------------