TSTP Solution File: LCL056-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL056-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 07:49:42 EDT 2022
% Result : Unsatisfiable 0.87s 1.25s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL056-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 11:45:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.25 *** allocated 10000 integers for termspace/termends
% 0.87/1.25 *** allocated 10000 integers for clauses
% 0.87/1.25 *** allocated 10000 integers for justifications
% 0.87/1.25 Bliksem 1.12
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Automatic Strategy Selection
% 0.87/1.25
% 0.87/1.25 Clauses:
% 0.87/1.25 [
% 0.87/1.25 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.87/1.25 'is_a_theorem'( Y ) ],
% 0.87/1.25 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.87/1.25 implies( X, Z ) ) ) ) ],
% 0.87/1.25 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.87/1.25 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.87/1.25 [ ~( 'is_a_theorem'( implies( not( not( a ) ), a ) ) ) ]
% 0.87/1.25 ] .
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 percentage equality = 0.000000, percentage horn = 1.000000
% 0.87/1.25 This is a near-Horn, non-equality problem
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Options Used:
% 0.87/1.25
% 0.87/1.25 useres = 1
% 0.87/1.25 useparamod = 0
% 0.87/1.25 useeqrefl = 0
% 0.87/1.25 useeqfact = 0
% 0.87/1.25 usefactor = 1
% 0.87/1.25 usesimpsplitting = 0
% 0.87/1.25 usesimpdemod = 0
% 0.87/1.25 usesimpres = 4
% 0.87/1.25
% 0.87/1.25 resimpinuse = 1000
% 0.87/1.25 resimpclauses = 20000
% 0.87/1.25 substype = standard
% 0.87/1.25 backwardsubs = 1
% 0.87/1.25 selectoldest = 5
% 0.87/1.25
% 0.87/1.25 litorderings [0] = split
% 0.87/1.25 litorderings [1] = liftord
% 0.87/1.25
% 0.87/1.25 termordering = none
% 0.87/1.25
% 0.87/1.25 litapriori = 1
% 0.87/1.25 termapriori = 0
% 0.87/1.25 litaposteriori = 0
% 0.87/1.25 termaposteriori = 0
% 0.87/1.25 demodaposteriori = 0
% 0.87/1.25 ordereqreflfact = 0
% 0.87/1.25
% 0.87/1.25 litselect = negative
% 0.87/1.25
% 0.87/1.25 maxweight = 30000
% 0.87/1.25 maxdepth = 30000
% 0.87/1.25 maxlength = 115
% 0.87/1.25 maxnrvars = 195
% 0.87/1.25 excuselevel = 0
% 0.87/1.25 increasemaxweight = 0
% 0.87/1.25
% 0.87/1.25 maxselected = 10000000
% 0.87/1.25 maxnrclauses = 10000000
% 0.87/1.25
% 0.87/1.25 showgenerated = 0
% 0.87/1.25 showkept = 0
% 0.87/1.25 showselected = 0
% 0.87/1.25 showdeleted = 0
% 0.87/1.25 showresimp = 1
% 0.87/1.25 showstatus = 2000
% 0.87/1.25
% 0.87/1.25 prologoutput = 1
% 0.87/1.25 nrgoals = 5000000
% 0.87/1.25 totalproof = 1
% 0.87/1.25
% 0.87/1.25 Symbols occurring in the translation:
% 0.87/1.25
% 0.87/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.25 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.87/1.25 ! [4, 1] (w:1, o:13, a:1, s:1, b:0),
% 0.87/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.25 implies [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.87/1.25 'is_a_theorem' [42, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.87/1.25 not [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.87/1.25 a [45, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Starting Search:
% 0.87/1.25
% 0.87/1.25 Resimplifying inuse:
% 0.87/1.25 Done
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Intermediate Status:
% 0.87/1.25 Generated: 8948
% 0.87/1.25 Kept: 2000
% 0.87/1.25 Inuse: 377
% 0.87/1.25 Deleted: 44
% 0.87/1.25 Deletedinuse: 17
% 0.87/1.25
% 0.87/1.25 Resimplifying inuse:
% 0.87/1.25 Done
% 0.87/1.25
% 0.87/1.25 Resimplifying inuse:
% 0.87/1.25 Done
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Intermediate Status:
% 0.87/1.25 Generated: 18456
% 0.87/1.25 Kept: 4018
% 0.87/1.25 Inuse: 595
% 0.87/1.25 Deleted: 59
% 0.87/1.25 Deletedinuse: 19
% 0.87/1.25
% 0.87/1.25 Resimplifying inuse:
% 0.87/1.25 Done
% 0.87/1.25
% 0.87/1.25 Resimplifying inuse:
% 0.87/1.25 Done
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Bliksems!, er is een bewijs:
% 0.87/1.25 % SZS status Unsatisfiable
% 0.87/1.25 % SZS output start Refutation
% 0.87/1.25
% 0.87/1.25 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.87/1.25 ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.87/1.25 , Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 4, [ ~( 'is_a_theorem'( implies( not( not( a ) ), a ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.87/1.25 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 .
% 0.87/1.25 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.87/1.25 not( X ), X ), Y ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.87/1.25 , implies( X, Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.87/1.25 X ), Y ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.87/1.25 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.87/1.25 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.87/1.25 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.87/1.25 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.87/1.25 Y ), Z ) ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.87/1.25 , implies( X, Z ) ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.87/1.25 , Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.87/1.25 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.87/1.25 implies( Z, Y ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.87/1.25 implies( X, Y ) ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.87/1.25 ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.87/1.25 ), Z ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 0.87/1.25 ) ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.87/1.25 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.87/1.25 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.87/1.25 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.87/1.25 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.87/1.25 ), X ), X ), Y ), Y ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.87/1.25 ), implies( X, Y ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( Y, X ) ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.87/1.25 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.87/1.25 .
% 0.87/1.25 clause( 5990, [] )
% 0.87/1.25 .
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 % SZS output end Refutation
% 0.87/1.25 found a proof!
% 0.87/1.25
% 0.87/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.25
% 0.87/1.25 initialclauses(
% 0.87/1.25 [ clause( 5992, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.87/1.25 X ) ), 'is_a_theorem'( Y ) ] )
% 0.87/1.25 , clause( 5993, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , clause( 5994, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , clause( 5995, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , clause( 5996, [ ~( 'is_a_theorem'( implies( not( not( a ) ), a ) ) ) ] )
% 0.87/1.25 ] ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.87/1.25 ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , clause( 5992, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.87/1.25 X ) ), 'is_a_theorem'( Y ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.87/1.25 , Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , clause( 5993, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.87/1.25 , clause( 5994, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.87/1.25 , clause( 5995, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 4, [ ~( 'is_a_theorem'( implies( not( not( a ) ), a ) ) ) ] )
% 0.87/1.25 , clause( 5996, [ ~( 'is_a_theorem'( implies( not( not( a ) ), a ) ) ) ] )
% 0.87/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 5998, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.87/1.25 , X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.87/1.25 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.87/1.25 , clause( 5998, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.87/1.25 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.87/1.25 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6000, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ),
% 0.87/1.25 Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.87/1.25 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.87/1.25 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6000, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.87/1.25 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6002, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.87/1.25 ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.87/1.25 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.87/1.25 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , clause( 6002, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.87/1.25 ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6003, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.87/1.25 not( X ), X ), Y ) ) ) ] )
% 0.87/1.25 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.87/1.25 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( implies( X, Y ),
% 0.87/1.25 implies( implies( not( X ), X ), Y ) ) )] ), substitution( 1, [ :=( X,
% 0.87/1.25 implies( not( X ), X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.87/1.25 not( X ), X ), Y ) ) ) ] )
% 0.87/1.25 , clause( 6003, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( not( X ), X ), Y ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6005, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( not( X ), X ), Y ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.87/1.25 not( X ), X ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.25 :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6005, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( implies( not( X ), X ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6006, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.87/1.25 ), implies( X, Z ) ) ) ] )
% 0.87/1.25 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.87/1.25 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.87/1.25 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.87/1.25 , implies( X, Z ) ) ) ] )
% 0.87/1.25 , clause( 6006, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.87/1.25 , Z ), implies( X, Z ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6007, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.87/1.25 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.87/1.25 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.87/1.25 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.87/1.25 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , clause( 6007, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.87/1.25 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6008, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.87/1.25 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.87/1.25 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.87/1.25 , Z ), implies( X, Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.87/1.25 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.87/1.25 , clause( 6008, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6010, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.87/1.25 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.87/1.25 , Z ), implies( X, Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.87/1.25 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.25 :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.87/1.25 , clause( 6010, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.87/1.25 not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6012, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.87/1.25 'is_a_theorem'( Y ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.87/1.25 substitution( 1, [ :=( X, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.87/1.25 X ), Y ) ) ) ] )
% 0.87/1.25 , clause( 6012, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.87/1.25 'is_a_theorem'( Y ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.87/1.25 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6013, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.87/1.25 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , X ), Y ) ) ) ] )
% 0.87/1.25 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.87/1.25 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.87/1.25 , clause( 6013, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6015, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X ) )
% 0.87/1.25 , Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.87/1.25 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.87/1.25 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6015, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.87/1.25 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6016, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.87/1.25 ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 12, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( implies( not( X ), X ), Y ) ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.87/1.25 implies( implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z )
% 0.87/1.25 ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, implies(
% 0.87/1.25 implies( not( X ), X ), Y ) ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not( X )
% 0.87/1.25 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6016, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.87/1.25 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6017, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.87/1.25 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.87/1.25 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.87/1.25 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 0.87/1.25 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 0.87/1.25 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 0.87/1.25 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 0.87/1.25 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.87/1.25 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.87/1.25 , clause( 6017, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6019, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.87/1.25 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.87/1.25 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 0.87/1.25 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.87/1.25 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.87/1.25 , clause( 6019, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.87/1.25 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.87/1.25 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6021, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.87/1.25 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.87/1.25 ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 53, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.87/1.25 X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.87/1.25 , X ), Y ), Z ), implies( implies( X, Y ), Z ) ) ), :=( Y, T )] ),
% 0.87/1.25 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.87/1.25 Y ), Z ) ), T ) ) ) ] )
% 0.87/1.25 , clause( 6021, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.87/1.25 implies( not( X ), X ), Y ), Z ), implies( implies( X, Y ), Z ) ), T ) )
% 0.87/1.25 ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6022, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.87/1.25 , implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.87/1.25 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.87/1.25 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.87/1.25 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.87/1.25 implies( Y, implies( X, Z ) ) )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.87/1.25 , implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , clause( 6022, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.87/1.25 Y, implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6023, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.87/1.25 , Z ) ) ) ] )
% 0.87/1.25 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.87/1.25 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.87/1.25 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.87/1.25 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.87/1.25 , Z ) ) ) ] )
% 0.87/1.25 , clause( 6023, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.87/1.25 ), Z ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6025, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y ) )
% 0.87/1.25 , implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.87/1.25 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( X, not( Y ) ), implies( Y
% 0.87/1.25 , implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.25 :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.87/1.25 , clause( 6025, [ ~( 'is_a_theorem'( implies( implies( implies( X, not( Y )
% 0.87/1.25 ), implies( Y, implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6027, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.87/1.25 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.87/1.25 ) ), Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.87/1.25 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.87/1.25 Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.87/1.25 , clause( 6027, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.87/1.25 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6028, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.87/1.25 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.87/1.25 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.87/1.25 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.87/1.25 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.87/1.25 Y ) ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.87/1.25 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.87/1.25 , clause( 6028, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.87/1.25 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6029, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.87/1.25 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.87/1.25 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.87/1.25 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.87/1.25 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.87/1.25 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.87/1.25 , clause( 6029, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6031, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) ),
% 0.87/1.25 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.87/1.25 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6031, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.87/1.25 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6032, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.87/1.25 implies( Z, Y ) ) ) ] )
% 0.87/1.25 , clause( 158, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 X, implies( Y, Y ) ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 0.87/1.25 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 0.87/1.25 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.87/1.25 implies( Z, Y ) ) ) ] )
% 0.87/1.25 , clause( 6032, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.87/1.25 implies( Z, Y ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6034, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.87/1.25 ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 165, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.87/1.25 , implies( Z, Y ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.87/1.25 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.87/1.25 , Y ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.87/1.25 , clause( 6034, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.87/1.25 , X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6035, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.87/1.25 implies( X, Y ) ) ) ) ] )
% 0.87/1.25 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.87/1.25 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 0.87/1.25 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.87/1.25 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 0.87/1.25 , implies( X, Y ) ) )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.87/1.25 implies( X, Y ) ) ) ) ] )
% 0.87/1.25 , clause( 6035, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.87/1.25 implies( X, Y ) ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6036, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 170, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 0.87/1.25 implies( implies( X, Y ), Z ), implies( implies( implies( T, T ), Y ), Z
% 0.87/1.25 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, T ), Y ) ),
% 0.87/1.25 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6036, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6038, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.87/1.25 implies( X, Y ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.87/1.25 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.87/1.25 Y, Y ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.87/1.25 , clause( 6038, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.87/1.25 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6039, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.87/1.25 ) ] )
% 0.87/1.25 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.87/1.25 , 1, clause( 303, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.87/1.25 , implies( implies( implies( T, T ), Y ), Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( implies( implies( X, X
% 0.87/1.25 ), Y ), Y ) )] ), substitution( 1, [ :=( X, not( Y ) ), :=( Y, Y ), :=(
% 0.87/1.25 Z, Y ), :=( T, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y )
% 0.87/1.25 ) ] )
% 0.87/1.25 , clause( 6039, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ), Y
% 0.87/1.25 ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6041, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.87/1.25 ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 356, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.87/1.25 , Y ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ), Y )
% 0.87/1.25 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6041, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.87/1.25 , X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6042, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.87/1.25 ), Z ), Z ) ) ) ] )
% 0.87/1.25 , clause( 358, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( X, X ), Y ), Y ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 298, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.87/1.25 implies( X, Y ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, implies(
% 0.87/1.25 implies( implies( Y, Y ), Z ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.87/1.25 implies( implies( Y, Y ), Z ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y, Y
% 0.87/1.25 ), Z ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6042, [ 'is_a_theorem'( implies( X, implies( implies( implies( Y
% 0.87/1.25 , Y ), Z ), Z ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6044, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.87/1.25 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 367, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.87/1.25 Y, Y ), Z ), Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( implies( Y, Y
% 0.87/1.25 ), Z ), Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y
% 0.87/1.25 ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.87/1.25 , clause( 6044, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.87/1.25 implies( Y, Y ), Z ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6045, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ),
% 0.87/1.25 Z ) ) ) ) ] )
% 0.87/1.25 , clause( 310, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.87/1.25 , Z ), implies( X, Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, Z ), :=( Z, Y ), :=( T,
% 0.87/1.25 implies( X, implies( Y, implies( not( X ), Z ) ) ) )] ), substitution( 1
% 0.87/1.25 , [ :=( X, X ), :=( Y, Z ), :=( Z, implies( Y, implies( not( X ), Z ) ) )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X ), Z
% 0.87/1.25 ) ) ) ) ] )
% 0.87/1.25 , clause( 6045, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X )
% 0.87/1.25 , Z ) ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6047, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, implies(
% 0.87/1.25 not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 453, [ 'is_a_theorem'( implies( X, implies( Y, implies( not( X
% 0.87/1.25 ), Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, implies( not( X ), Z
% 0.87/1.25 ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.87/1.25 , Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.87/1.25 , clause( 6047, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y,
% 0.87/1.25 implies( not( X ), Z ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6048, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.87/1.25 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.87/1.25 , clause( 473, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 X, implies( Y, implies( not( X ), Z ) ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.87/1.25 implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y, T ) ) )] )
% 0.87/1.25 , substitution( 1, [ :=( X, Y ), :=( Y, implies( X, implies( not( Y ), Z
% 0.87/1.25 ) ) ), :=( Z, T )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.87/1.25 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.87/1.25 , clause( 6048, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.87/1.25 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6049, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.87/1.25 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.87/1.25 , clause( 85, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.87/1.25 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.87/1.25 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.87/1.25 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.87/1.25 X, implies( T, Z ) ) ), :=( U, implies( implies( X, implies( Y, Z ) ),
% 0.87/1.25 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) )] ),
% 0.87/1.25 substitution( 1, [ :=( X, implies( Y, Z ) ), :=( Y, implies( T, Z ) ),
% 0.87/1.25 :=( Z, X ), :=( T, implies( implies( T, Y ), implies( X, implies( T, Z )
% 0.87/1.25 ) ) )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.87/1.25 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.87/1.25 , clause( 6049, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) ),
% 0.87/1.25 implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6050, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.87/1.25 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , clause( 380, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 X, implies( implies( implies( Y, Y ), Z ), Z ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 1077, [ 'is_a_theorem'( implies( implies( X, implies( Y, Z ) )
% 0.87/1.25 , implies( implies( T, Y ), implies( X, implies( T, Z ) ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.87/1.25 implies( X, implies( implies( Y, Y ), Z ) ), implies( T, implies( X, Z )
% 0.87/1.25 ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, implies( implies( Y, Y )
% 0.87/1.25 , Z ) ), :=( Z, Z ), :=( T, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y, Y
% 0.87/1.25 ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , clause( 6050, [ 'is_a_theorem'( implies( implies( X, implies( implies( Y
% 0.87/1.25 , Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6051, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.87/1.25 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.87/1.25 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.87/1.25 Y ), Z ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 1527, [ 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.87/1.25 Y, Y ), Z ) ), implies( T, implies( X, Z ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z ), :=( T, implies(
% 0.87/1.25 X, implies( implies( implies( implies( not( Y ), Y ), Y ), Z ), Z ) ) )] )
% 0.87/1.25 , substitution( 1, [ :=( X, implies( implies( implies( not( Y ), Y ), Y )
% 0.87/1.25 , Z ) ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.87/1.25 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6051, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.87/1.25 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6052, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.87/1.25 ), X ), X ), Y ), Y ) ) ] )
% 0.87/1.25 , clause( 103, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( not( X ), X ), Y ), Z ), implies( implies( X,
% 0.87/1.25 Y ), Z ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 1566, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.87/1.25 implies( not( Y ), Y ), Y ), Z ), Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, implies(
% 0.87/1.25 implies( implies( implies( not( X ), X ), X ), Y ), Y ) )] ),
% 0.87/1.25 substitution( 1, [ :=( X, implies( implies( implies( implies( not( Z ), Z
% 0.87/1.25 ), T ), U ), implies( implies( Z, T ), U ) ) ), :=( Y, X ), :=( Z, Y )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies( not( X
% 0.87/1.25 ), X ), X ), Y ), Y ) ) ] )
% 0.87/1.25 , clause( 6052, [ 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.87/1.25 X ), X ), X ), Y ), Y ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6054, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.87/1.25 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 1574, [ 'is_a_theorem'( implies( implies( implies( implies(
% 0.87/1.25 not( X ), X ), X ), Y ), Y ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( not( X )
% 0.87/1.25 , X ), X ), Y ), Y ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.25 :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6054, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.87/1.25 implies( not( X ), X ), X ), Y ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6055, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.87/1.25 ), implies( X, Y ) ) ) ] )
% 0.87/1.25 , clause( 1576, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( implies( implies( not( X ), X ), X ), Y ), Y ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.87/1.25 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z,
% 0.87/1.25 implies( implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ) )] ),
% 0.87/1.25 substitution( 1, [ :=( X, implies( not( Y ), Y ) ), :=( Y, Y ), :=( Z, X
% 0.87/1.25 ), :=( T, implies( X, Y ) )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y )
% 0.87/1.25 ), implies( X, Y ) ) ) ] )
% 0.87/1.25 , clause( 6055, [ 'is_a_theorem'( implies( implies( X, implies( not( Y ), Y
% 0.87/1.25 ) ), implies( X, Y ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6057, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.87/1.25 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.87/1.25 , Y ) ), implies( X, Y ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( not( Y ), Y )
% 0.87/1.25 ), implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.25 :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6057, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.87/1.25 not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6058, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.87/1.25 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 696, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.87/1.25 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( X, implies(
% 0.87/1.25 Y, X ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X ),
% 0.87/1.25 :=( T, implies( Y, X ) )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.87/1.25 , clause( 6058, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6060, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ),
% 0.87/1.25 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 4753, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.87/1.25 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.87/1.25 , implies( Y, X ) ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6060, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.87/1.25 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6061, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 4838, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 X, implies( Y, X ) ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 83, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.87/1.25 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 0.87/1.25 implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z ) ) )] )
% 0.87/1.25 , substitution( 1, [ :=( X, X ), :=( Y, implies( T, X ) ), :=( Z, Y ),
% 0.87/1.25 :=( T, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6061, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6062, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.87/1.25 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 1, clause( 4929, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.87/1.25 , implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.87/1.25 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 0.87/1.25 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 0.87/1.25 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.87/1.25 , clause( 6062, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.87/1.25 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6063, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.87/1.25 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.87/1.25 , clause( 138, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ), T ) ) ) ] )
% 0.87/1.25 , 1, clause( 5827, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.87/1.25 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, implies(
% 0.87/1.25 implies( implies( X, implies( Y, Z ) ), T ), implies( not( X ), T ) ) )] )
% 0.87/1.25 , substitution( 1, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.87/1.25 implies( Y, Z ) ) ), :=( T, T )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y, Z
% 0.87/1.25 ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.87/1.25 , clause( 6063, [ 'is_a_theorem'( implies( implies( implies( X, implies( Y
% 0.87/1.25 , Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6064, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.87/1.25 , clause( 4584, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 implies( X, implies( not( Y ), Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 5874, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.87/1.25 Y, Z ) ), T ), implies( not( X ), T ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( not( X ),
% 0.87/1.25 implies( X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, not( Y ) )
% 0.87/1.25 , :=( Z, Y ), :=( T, implies( X, Y ) )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ] )
% 0.87/1.25 , clause( 6064, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6066, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X,
% 0.87/1.25 Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.87/1.25 , ~( 'is_a_theorem'( X ) ) ] )
% 0.87/1.25 , 2, clause( 5883, [ 'is_a_theorem'( implies( not( X ), implies( X, Y ) ) )
% 0.87/1.25 ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, implies( not( X ), implies( X, Y ) ) ), :=(
% 0.87/1.25 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.87/1.25 , clause( 6066, [ ~( 'is_a_theorem'( implies( implies( not( X ), implies( X
% 0.87/1.25 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6067, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.87/1.25 , clause( 5906, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.87/1.25 not( X ), implies( X, Y ) ), Z ) ) ) ] )
% 0.87/1.25 , 1, clause( 4577, [ 'is_a_theorem'( implies( implies( X, implies( not( Y )
% 0.87/1.25 , Y ) ), implies( X, Y ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, not( X ) ), :=( Y, X ), :=( Z, implies( not(
% 0.87/1.25 not( X ) ), X ) )] ), substitution( 1, [ :=( X, not( not( X ) ) ), :=( Y
% 0.87/1.25 , X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.87/1.25 , clause( 6067, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 resolution(
% 0.87/1.25 clause( 6068, [] )
% 0.87/1.25 , clause( 4, [ ~( 'is_a_theorem'( implies( not( not( a ) ), a ) ) ) ] )
% 0.87/1.25 , 0, clause( 5926, [ 'is_a_theorem'( implies( not( not( X ) ), X ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 5990, [] )
% 0.87/1.25 , clause( 6068, [] )
% 0.87/1.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 end.
% 0.87/1.25
% 0.87/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.25
% 0.87/1.25 Memory use:
% 0.87/1.25
% 0.87/1.25 space for terms: 122805
% 0.87/1.25 space for clauses: 644639
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 clauses generated: 31142
% 0.87/1.25 clauses kept: 5991
% 0.87/1.25 clauses selected: 751
% 0.87/1.25 clauses deleted: 98
% 0.87/1.25 clauses inuse deleted: 39
% 0.87/1.25
% 0.87/1.25 subsentry: 26310
% 0.87/1.25 literals s-matched: 25251
% 0.87/1.25 literals matched: 25250
% 0.87/1.25 full subsumption: 0
% 0.87/1.25
% 0.87/1.25 checksum: 1841114377
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Bliksem ended
%------------------------------------------------------------------------------