TSTP Solution File: LCL361-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% 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 07:53:00 EDT 2022
% Result : Unsatisfiable 0.72s 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 19:14:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08 [
% 0.72/1.08 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.72/1.08 'is_a_theorem'( Y ) ],
% 0.72/1.08 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.72/1.08 implies( X, Z ) ) ) ) ],
% 0.72/1.08 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.72/1.08 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.72/1.08 [ ~( 'is_a_theorem'( implies( x, implies( implies( implies( not( x ), x
% 0.72/1.08 ), x ), implies( implies( y, x ), x ) ) ) ) ) ]
% 0.72/1.08 ] .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 percentage equality = 0.000000, percentage horn = 1.000000
% 0.72/1.08 This is a near-Horn, non-equality problem
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 0
% 0.72/1.08 useeqrefl = 0
% 0.72/1.08 useeqfact = 0
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 0
% 0.72/1.08 usesimpres = 4
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = standard
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = liftord
% 0.72/1.08
% 0.72/1.08 termordering = none
% 0.72/1.08
% 0.72/1.08 litapriori = 1
% 0.72/1.08 termapriori = 0
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.72/1.08 demodaposteriori = 0
% 0.72/1.08 ordereqreflfact = 0
% 0.72/1.08
% 0.72/1.08 litselect = negative
% 0.72/1.08
% 0.72/1.08 maxweight = 30000
% 0.72/1.08 maxdepth = 30000
% 0.72/1.08 maxlength = 115
% 0.72/1.08 maxnrvars = 195
% 0.72/1.08 excuselevel = 0
% 0.72/1.08 increasemaxweight = 0
% 0.72/1.08
% 0.72/1.08 maxselected = 10000000
% 0.72/1.08 maxnrclauses = 10000000
% 0.72/1.08
% 0.72/1.08 showgenerated = 0
% 0.72/1.08 showkept = 0
% 0.72/1.08 showselected = 0
% 0.72/1.08 showdeleted = 0
% 0.72/1.08 showresimp = 1
% 0.72/1.08 showstatus = 2000
% 0.72/1.08
% 0.72/1.08 prologoutput = 1
% 0.72/1.08 nrgoals = 5000000
% 0.72/1.08 totalproof = 1
% 0.72/1.08
% 0.72/1.08 Symbols occurring in the translation:
% 0.72/1.08
% 0.72/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.08 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.08 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.08 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.08 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.08 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.08 y [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Starting Search:
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksems!, er is een bewijs:
% 0.72/1.08 % SZS status Unsatisfiable
% 0.72/1.08 % SZS output start Refutation
% 0.72/1.08
% 0.72/1.08 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.72/1.08 ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.72/1.08 , Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( implies( implies( not(
% 0.72/1.08 x ), x ), x ), implies( implies( y, x ), x ) ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.72/1.08 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.72/1.08 , implies( X, Z ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.72/1.08 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.72/1.08 X ), Y ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.72/1.08 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.72/1.08 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 0.72/1.08 implies( X, Z ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 0.72/1.08 Z ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.08 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.72/1.08 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.08 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.72/1.08 implies( Z, Y ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.72/1.08 implies( X, Y ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.72/1.08 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.72/1.08 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 469, [ 'is_a_theorem'( implies( X, implies( implies( implies( not(
% 0.72/1.08 X ), Y ), Z ), implies( T, Z ) ) ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 551, [] )
% 0.72/1.08 .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % SZS output end Refutation
% 0.72/1.08 found a proof!
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 initialclauses(
% 0.72/1.08 [ clause( 553, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.72/1.08 X ) ), 'is_a_theorem'( Y ) ] )
% 0.72/1.08 , clause( 554, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.72/1.08 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , clause( 555, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 556, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 557, [ ~( 'is_a_theorem'( implies( x, implies( implies( implies(
% 0.72/1.08 not( x ), x ), x ), implies( implies( y, x ), x ) ) ) ) ) ] )
% 0.72/1.08 ] ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.72/1.08 ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , clause( 553, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.72/1.08 X ) ), 'is_a_theorem'( Y ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.72/1.08 , Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , clause( 554, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.72/1.08 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.72/1.08 , clause( 555, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.72/1.08 , clause( 556, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( implies( implies( not(
% 0.72/1.08 x ), x ), x ), implies( implies( y, x ), x ) ) ) ) ) ] )
% 0.72/1.08 , clause( 557, [ ~( 'is_a_theorem'( implies( x, implies( implies( implies(
% 0.72/1.08 not( x ), x ), x ), implies( implies( y, x ), x ) ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 559, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.72/1.08 , X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.72/1.08 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.72/1.08 , clause( 559, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.72/1.08 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.08 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 561, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ), Y
% 0.72/1.08 ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.72/1.08 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.72/1.08 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.72/1.08 , clause( 561, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.72/1.08 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 563, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.08 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.72/1.08 ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.72/1.08 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.72/1.08 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.72/1.08 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 563, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.08 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.72/1.08 ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 564, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.72/1.08 ), implies( X, Z ) ) ) ] )
% 0.72/1.08 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.08 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.72/1.08 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.72/1.08 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.72/1.08 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.72/1.08 , implies( X, Z ) ) ) ] )
% 0.72/1.08 , clause( 564, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 0.72/1.08 Z ), implies( X, Z ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 566, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.72/1.08 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.72/1.08 , Z ), implies( X, Z ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.72/1.08 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.72/1.08 , clause( 566, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.72/1.08 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 567, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.08 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.72/1.08 , 1, clause( 8, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.72/1.08 , Z ), implies( X, Z ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.72/1.08 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.08 , clause( 567, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 568, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.72/1.08 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.72/1.08 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.72/1.08 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.72/1.08 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.72/1.08 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.72/1.08 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.72/1.08 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.72/1.08 , clause( 568, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.72/1.08 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 570, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.72/1.08 'is_a_theorem'( Y ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 16, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.72/1.08 substitution( 1, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.72/1.08 X ), Y ) ) ) ] )
% 0.72/1.08 , clause( 570, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.72/1.08 'is_a_theorem'( Y ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.08 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 571, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.72/1.08 , clause( 23, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.08 , X ), Y ) ) ) ] )
% 0.72/1.08 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.72/1.08 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.72/1.08 , clause( 571, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 573, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X ) )
% 0.72/1.08 , Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 25, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.72/1.08 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.72/1.08 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.72/1.08 , clause( 573, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.72/1.08 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 574, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.72/1.08 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.72/1.08 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.72/1.08 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.72/1.08 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, implies(
% 0.72/1.08 implies( implies( X, Y ), Z ), implies( implies( implies( not( X ), T ),
% 0.72/1.08 Y ), Z ) ) )] ), substitution( 1, [ :=( X, implies( implies( not( X ), T
% 0.72/1.08 ), Y ) ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.72/1.08 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.72/1.08 , clause( 574, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.72/1.08 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 575, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.72/1.08 , implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , clause( 12, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.72/1.08 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.72/1.08 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.72/1.08 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.72/1.08 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.72/1.08 implies( Y, implies( X, Z ) ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y,
% 0.72/1.08 implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , clause( 575, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.72/1.08 Y, implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 576, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.72/1.08 , Z ) ) ) ] )
% 0.72/1.08 , clause( 26, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.72/1.08 , 1, clause( 94, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.72/1.08 Y, implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.72/1.08 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.72/1.08 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) ),
% 0.72/1.08 Z ) ) ) ] )
% 0.72/1.08 , clause( 576, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.72/1.08 ), Z ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 578, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.72/1.08 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 98, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.72/1.08 ) ), Z ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.72/1.08 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.72/1.08 Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.08 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.72/1.08 , clause( 578, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.72/1.08 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 579, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.72/1.08 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.72/1.08 , clause( 102, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.72/1.08 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.72/1.08 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.72/1.08 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.72/1.08 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.72/1.08 Y ) ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.72/1.08 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.72/1.08 , clause( 579, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.72/1.08 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 580, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.08 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.72/1.08 , 1, clause( 123, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.72/1.08 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.72/1.08 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.72/1.08 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.08 , clause( 580, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 582, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) ), Z
% 0.72/1.08 ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 133, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, Y ) ) ), :=( Y, Z )] )
% 0.72/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.72/1.08 , implies( Y, Y ) ), Z ) ) ) ] )
% 0.72/1.08 , clause( 582, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, Y ) )
% 0.72/1.08 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 583, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.72/1.08 implies( Z, Y ) ) ) ] )
% 0.72/1.08 , clause( 135, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 X, implies( Y, Y ) ), Z ) ) ) ] )
% 0.72/1.08 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.72/1.08 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, implies( implies(
% 0.72/1.08 implies( X, X ), Y ), implies( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z
% 0.72/1.08 ), :=( Y, implies( X, X ) ), :=( Z, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.72/1.08 implies( Z, Y ) ) ) ] )
% 0.72/1.08 , clause( 583, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y ),
% 0.72/1.08 implies( Z, Y ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 585, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, X
% 0.72/1.08 ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 142, [ 'is_a_theorem'( implies( implies( implies( X, X ), Y )
% 0.72/1.08 , implies( Z, Y ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, X ), Y ),
% 0.72/1.08 implies( Z, Y ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.72/1.08 , Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.72/1.08 , clause( 585, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.72/1.08 X ), Y ), implies( Z, Y ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 586, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.72/1.08 implies( X, Y ) ) ) ) ] )
% 0.72/1.08 , clause( 146, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( implies( X, X ), Y ), implies( Z, Y ) ), T ) ) ) ] )
% 0.72/1.08 , 1, clause( 21, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.72/1.08 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, implies( X, Y ) ), :=( Z, Z ),
% 0.72/1.08 :=( T, implies( implies( X, Y ), implies( Z, implies( X, Y ) ) ) )] ),
% 0.72/1.08 substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X ), :=( T, implies( Z
% 0.72/1.08 , implies( X, Y ) ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.72/1.08 implies( X, Y ) ) ) ) ] )
% 0.72/1.08 , clause( 586, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.72/1.08 implies( X, Y ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 588, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.08 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.72/1.08 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.72/1.08 , ~( 'is_a_theorem'( X ) ) ] )
% 0.72/1.08 , 2, clause( 180, [ 'is_a_theorem'( implies( implies( X, Y ), implies( Z,
% 0.72/1.08 implies( X, Y ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( Z,
% 0.72/1.08 implies( X, Y ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=(
% 0.72/1.08 Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.72/1.08 , clause( 588, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.72/1.08 implies( Z, implies( X, Y ) ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 589, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.72/1.08 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.72/1.08 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , 1, clause( 45, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.72/1.08 implies( implies( implies( not( X ), T ), Y ), Z ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.72/1.08 implies( implies( not( X ), Y ), Z ), implies( implies( Z, T ), implies(
% 0.72/1.08 X, T ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z,
% 0.72/1.08 implies( implies( Z, T ), implies( X, T ) ) ), :=( T, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.72/1.08 ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.72/1.08 , clause( 589, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 0.72/1.08 Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 590, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.72/1.08 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.72/1.08 , clause( 207, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( X, Y ), implies( Z, implies( X, Y ) ) ), T ) ) ) ] )
% 0.72/1.08 , 1, clause( 322, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y
% 0.72/1.08 ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.72/1.08 implies( implies( implies( X, implies( not( Y ), Z ) ), T ), implies( Y,
% 0.72/1.08 T ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X
% 0.72/1.08 , implies( not( Y ), Z ) ) ), :=( T, T )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.72/1.08 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.72/1.08 , clause( 590, [ 'is_a_theorem'( implies( implies( implies( X, implies( not(
% 0.72/1.08 Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 591, [ 'is_a_theorem'( implies( X, implies( implies( implies( not(
% 0.72/1.08 X ), Y ), Z ), implies( T, Z ) ) ) ) ] )
% 0.72/1.08 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.72/1.08 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , 1, clause( 393, [ 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.72/1.09 not( Y ), Z ) ), T ), implies( Y, T ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, implies( not( X ), Y ) ), :=( Z
% 0.72/1.09 , Z ), :=( T, implies( X, implies( implies( implies( not( X ), Y ), Z ),
% 0.72/1.09 implies( T, Z ) ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, X ), :=(
% 0.72/1.09 Z, Y ), :=( T, implies( implies( implies( not( X ), Y ), Z ), implies( T
% 0.72/1.09 , Z ) ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 469, [ 'is_a_theorem'( implies( X, implies( implies( implies( not(
% 0.72/1.09 X ), Y ), Z ), implies( T, Z ) ) ) ) ] )
% 0.72/1.09 , clause( 591, [ 'is_a_theorem'( implies( X, implies( implies( implies( not(
% 0.72/1.09 X ), Y ), Z ), implies( T, Z ) ) ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 592, [] )
% 0.72/1.09 , clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( implies( implies(
% 0.72/1.09 not( x ), x ), x ), implies( implies( y, x ), x ) ) ) ) ) ] )
% 0.72/1.09 , 0, clause( 469, [ 'is_a_theorem'( implies( X, implies( implies( implies(
% 0.72/1.09 not( X ), Y ), Z ), implies( T, Z ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, x ), :=(
% 0.72/1.09 Z, x ), :=( T, implies( y, x ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 551, [] )
% 0.72/1.09 , clause( 592, [] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 end.
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 9405
% 0.72/1.09 space for clauses: 54715
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 2074
% 0.72/1.09 clauses kept: 552
% 0.72/1.09 clauses selected: 155
% 0.72/1.09 clauses deleted: 3
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 1689
% 0.72/1.09 literals s-matched: 1526
% 0.72/1.09 literals matched: 1526
% 0.72/1.09 full subsumption: 0
% 0.72/1.09
% 0.72/1.09 checksum: -1996334577
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------