TSTP Solution File: LCL080-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL080-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:50:01 EDT 2022
% Result : Unsatisfiable 0.88s 1.27s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL080-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jul 2 14:17:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.88/1.27 *** allocated 10000 integers for termspace/termends
% 0.88/1.27 *** allocated 10000 integers for clauses
% 0.88/1.27 *** allocated 10000 integers for justifications
% 0.88/1.27 Bliksem 1.12
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Automatic Strategy Selection
% 0.88/1.27
% 0.88/1.27 Clauses:
% 0.88/1.27 [
% 0.88/1.27 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.88/1.27 'is_a_theorem'( Y ) ],
% 0.88/1.27 [ 'is_a_theorem'( implies( X, X ) ) ],
% 0.88/1.27 [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ],
% 0.88/1.27 [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X ) ) ],
% 0.88/1.27 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.88/1.27 implies( X, Z ) ) ) ) ],
% 0.88/1.27 [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c ), implies(
% 0.88/1.27 implies( c, a ), implies( e, a ) ) ) ) ) ]
% 0.88/1.27 ] .
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 percentage equality = 0.000000, percentage horn = 1.000000
% 0.88/1.27 This is a near-Horn, non-equality problem
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Options Used:
% 0.88/1.27
% 0.88/1.27 useres = 1
% 0.88/1.27 useparamod = 0
% 0.88/1.27 useeqrefl = 0
% 0.88/1.27 useeqfact = 0
% 0.88/1.27 usefactor = 1
% 0.88/1.27 usesimpsplitting = 0
% 0.88/1.27 usesimpdemod = 0
% 0.88/1.27 usesimpres = 4
% 0.88/1.27
% 0.88/1.27 resimpinuse = 1000
% 0.88/1.27 resimpclauses = 20000
% 0.88/1.27 substype = standard
% 0.88/1.27 backwardsubs = 1
% 0.88/1.27 selectoldest = 5
% 0.88/1.27
% 0.88/1.27 litorderings [0] = split
% 0.88/1.27 litorderings [1] = liftord
% 0.88/1.27
% 0.88/1.27 termordering = none
% 0.88/1.27
% 0.88/1.27 litapriori = 1
% 0.88/1.27 termapriori = 0
% 0.88/1.27 litaposteriori = 0
% 0.88/1.27 termaposteriori = 0
% 0.88/1.27 demodaposteriori = 0
% 0.88/1.27 ordereqreflfact = 0
% 0.88/1.27
% 0.88/1.27 litselect = negative
% 0.88/1.27
% 0.88/1.27 maxweight = 30000
% 0.88/1.27 maxdepth = 30000
% 0.88/1.27 maxlength = 115
% 0.88/1.27 maxnrvars = 195
% 0.88/1.27 excuselevel = 0
% 0.88/1.27 increasemaxweight = 0
% 0.88/1.27
% 0.88/1.27 maxselected = 10000000
% 0.88/1.27 maxnrclauses = 10000000
% 0.88/1.27
% 0.88/1.27 showgenerated = 0
% 0.88/1.27 showkept = 0
% 0.88/1.27 showselected = 0
% 0.88/1.27 showdeleted = 0
% 0.88/1.27 showresimp = 1
% 0.88/1.27 showstatus = 2000
% 0.88/1.27
% 0.88/1.27 prologoutput = 1
% 0.88/1.27 nrgoals = 5000000
% 0.88/1.27 totalproof = 1
% 0.88/1.27
% 0.88/1.27 Symbols occurring in the translation:
% 0.88/1.27
% 0.88/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.27 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.88/1.27 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.88/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.27 implies [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.88/1.27 'is_a_theorem' [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.88/1.27 a [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.88/1.27 b [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.88/1.27 c [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.88/1.27 e [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Starting Search:
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Intermediate Status:
% 0.88/1.27 Generated: 11968
% 0.88/1.27 Kept: 2042
% 0.88/1.27 Inuse: 321
% 0.88/1.27 Deleted: 1
% 0.88/1.27 Deletedinuse: 1
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Intermediate Status:
% 0.88/1.27 Generated: 24663
% 0.88/1.27 Kept: 4077
% 0.88/1.27 Inuse: 532
% 0.88/1.27 Deleted: 2
% 0.88/1.27 Deletedinuse: 1
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Intermediate Status:
% 0.88/1.27 Generated: 36766
% 0.88/1.27 Kept: 6144
% 0.88/1.27 Inuse: 643
% 0.88/1.27 Deleted: 2
% 0.88/1.27 Deletedinuse: 1
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27 Resimplifying inuse:
% 0.88/1.27 Done
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Bliksems!, er is een bewijs:
% 0.88/1.27 % SZS status Unsatisfiable
% 0.88/1.27 % SZS output start Refutation
% 0.88/1.27
% 0.88/1.27 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.88/1.27 ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 2, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 3, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X ) )
% 0.88/1.27 ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 4, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.88/1.27 , Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 5, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c ),
% 0.88/1.27 implies( implies( c, a ), implies( e, a ) ) ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.88/1.27 implies( Y, X ) ), Z ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.27 )
% 0.88/1.27 .
% 0.88/1.27 clause( 16, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( Y, Z ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 20, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 25, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.27 implies( X, Z ), X ), Y ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 31, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.88/1.27 implies( Z, X ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 36, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.88/1.27 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 43, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 99, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 102, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 115, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.88/1.27 implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 215, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.27 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 216, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.88/1.27 implies( X, Y ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 218, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.27 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 219, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 388, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.88/1.27 ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 423, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.27 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 2659, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( implies( X, T ), T ), Y ), Z ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 5146, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.27 , Y ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 6238, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.27 , implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 6730, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 7332, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.88/1.27 .
% 0.88/1.27 clause( 7380, [] )
% 0.88/1.27 .
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 % SZS output end Refutation
% 0.88/1.27 found a proof!
% 0.88/1.27
% 0.88/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.88/1.27
% 0.88/1.27 initialclauses(
% 0.88/1.27 [ clause( 7382, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.88/1.27 X ) ), 'is_a_theorem'( Y ) ] )
% 0.88/1.27 , clause( 7383, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.88/1.27 , clause( 7384, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.88/1.27 , clause( 7385, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 0.88/1.27 ) ) ] )
% 0.88/1.27 , clause( 7386, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 , clause( 7387, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c )
% 0.88/1.27 , implies( implies( c, a ), implies( e, a ) ) ) ) ) ] )
% 0.88/1.27 ] ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.88/1.27 ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , clause( 7382, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.88/1.27 X ) ), 'is_a_theorem'( Y ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.27 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 2, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.88/1.27 , clause( 7384, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.27 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 3, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X ) )
% 0.88/1.27 ] )
% 0.88/1.27 , clause( 7385, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 0.88/1.27 ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.27 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 4, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.88/1.27 , Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 , clause( 7386, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 5, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c ),
% 0.88/1.27 implies( implies( c, a ), implies( e, a ) ) ) ) ) ] )
% 0.88/1.27 , clause( 7387, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c )
% 0.88/1.27 , implies( implies( c, a ), implies( e, a ) ) ) ) ) ] )
% 0.88/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7389, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), X ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.27 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.27 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , 2, clause( 3, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ), X
% 0.88/1.27 ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ), X )
% 0.88/1.27 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 0.88/1.27 , clause( 7389, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.88/1.27 , Y ), X ), X ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7391, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) ),
% 0.88/1.27 Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.27 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.27 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , 2, clause( 2, [ 'is_a_theorem'( implies( X, implies( Y, X ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) ), :=( Y, Z )] )
% 0.88/1.27 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.88/1.27 implies( Y, X ) ), Z ) ) ) ] )
% 0.88/1.27 , clause( 7391, [ ~( 'is_a_theorem'( implies( implies( X, implies( Y, X ) )
% 0.88/1.27 , Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7393, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.88/1.27 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.88/1.27 ) ] )
% 0.88/1.27 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.27 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , 2, clause( 4, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.88/1.27 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.88/1.27 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.27 )
% 0.88/1.27 , clause( 7393, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.88/1.27 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.88/1.27 ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7394, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( Y, Z ) ) ) ] )
% 0.88/1.27 , clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.27 , implies( Y, X ) ), Z ) ) ) ] )
% 0.88/1.27 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, implies( implies(
% 0.88/1.27 implies( X, Y ), Z ), implies( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y
% 0.88/1.27 ), :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 16, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( Y, Z ) ) ) ] )
% 0.88/1.27 , clause( 7394, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( Y, Z ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7396, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.27 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.27 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , 2, clause( 16, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( Y, Z ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( Y, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.88/1.27 , Y ), :=( Z, Z )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 20, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.88/1.27 , clause( 7396, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.88/1.27 , Y ), Z ), implies( Y, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7397, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.27 implies( X, Z ), X ), Y ) ) ) ] )
% 0.88/1.27 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 0.88/1.27 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, implies( implies( X
% 0.88/1.27 , Y ), implies( implies( implies( X, Z ), X ), Y ) ) )] ), substitution(
% 0.88/1.27 1, [ :=( X, implies( implies( X, Z ), X ) ), :=( Y, X ), :=( Z, Y )] )
% 0.88/1.27 ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 25, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.27 implies( X, Z ), X ), Y ) ) ) ] )
% 0.88/1.27 , clause( 7397, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( implies( X, Z ), X ), Y ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.88/1.27 implies( Z, X ) ) ) ] )
% 0.88/1.27 , clause( 7, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.27 , implies( Y, X ) ), Z ) ) ) ] )
% 0.88/1.27 , 1, clause( 25, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( implies( X, Z ), X ), Y ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, implies( implies(
% 0.88/1.27 implies( X, Y ), X ), implies( Z, X ) ) )] ), substitution( 1, [ :=( X, X
% 0.88/1.27 ), :=( Y, implies( Z, X ) ), :=( Z, Y )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 31, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.88/1.27 implies( Z, X ) ) ) ] )
% 0.88/1.27 , clause( 7398, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.88/1.27 implies( Z, X ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7399, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.27 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.27 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.27 )
% 0.88/1.27 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.88/1.27 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.27 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.88/1.27 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.88/1.27 ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 36, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.88/1.27 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.27 , clause( 7399, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7401, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.27 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.27 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , 2, clause( 31, [ 'is_a_theorem'( implies( implies( implies( X, Y ), X ),
% 0.88/1.27 implies( Z, X ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( implies( implies( X, Y ), X ),
% 0.88/1.27 implies( Z, X ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.88/1.27 , Y ), :=( Z, Z )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 43, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.88/1.27 , clause( 7401, [ ~( 'is_a_theorem'( implies( implies( implies( implies( X
% 0.88/1.27 , Y ), X ), implies( Z, X ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7402, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.88/1.27 , clause( 20, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), Z ), implies( Y, Z ) ), T ) ) ) ] )
% 0.88/1.27 , 1, clause( 4, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.88/1.27 implies( implies( X, Y ), Z ), implies( implies( implies( T, X ), Y ), Z
% 0.88/1.27 ) ) )] ), substitution( 1, [ :=( X, implies( implies( T, X ), Y ) ),
% 0.88/1.27 :=( Y, implies( X, Y ) ), :=( Z, Z )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 99, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.88/1.27 , clause( 7402, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7403, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.88/1.27 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.27 )
% 0.88/1.27 , 1, clause( 99, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( T, X ), Y ), Z ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.88/1.27 implies( implies( X, Y ), Z ), implies( implies( Z, T ), implies( Y, T )
% 0.88/1.27 ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies(
% 0.88/1.27 implies( Z, T ), implies( Y, T ) ) ), :=( T, X )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 102, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.88/1.27 , clause( 7403, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7404, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.27 , implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.88/1.27 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.27 )
% 0.88/1.27 , 1, clause( 102, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.88/1.27 , implies( implies( Z, T ), implies( Y, T ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.88/1.27 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies( X, T
% 0.88/1.27 ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, implies(
% 0.88/1.27 implies( X, Y ), implies( Z, Y ) ) ), :=( T, T )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 115, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.88/1.27 implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.88/1.27 , clause( 7404, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7405, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.27 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.88/1.27 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.27 )
% 0.88/1.27 , 1, clause( 36, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( Y, Z ) ), :=( Y, implies( X, Z ) )
% 0.88/1.27 , :=( Z, T ), :=( T, implies( implies( X, Y ), implies( implies( implies(
% 0.88/1.27 X, Z ), T ), implies( implies( Y, Z ), T ) ) ) )] ), substitution( 1, [
% 0.88/1.27 :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies( implies( implies( X,
% 0.88/1.27 Z ), T ), implies( implies( Y, Z ), T ) ) )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 215, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.88/1.27 implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.88/1.27 , clause( 7405, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7406, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.88/1.27 implies( X, Y ) ) ) ] )
% 0.88/1.27 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), X ), X ), Z ) ) ) ] )
% 0.88/1.27 , 1, clause( 36, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 0.88/1.27 implies( implies( X, implies( X, Y ) ), implies( X, Y ) ) )] ),
% 0.88/1.27 substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z, X ), :=(
% 0.88/1.27 T, implies( X, Y ) )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 216, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.88/1.27 implies( X, Y ) ) ) ] )
% 0.88/1.27 , clause( 7406, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) ),
% 0.88/1.27 implies( X, Y ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.27 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7408, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.88/1.27 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.88/1.27 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.27 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , 2, clause( 36, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( implies( implies( implies( X, Y ),
% 0.88/1.27 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ), :=( Y, U )] )
% 0.88/1.27 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.88/1.27 ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 218, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.27 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.88/1.27 , clause( 7408, [ ~( 'is_a_theorem'( implies( implies( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) )
% 0.88/1.27 , U ) ) ), 'is_a_theorem'( U ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.88/1.27 , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7410, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies( X
% 0.88/1.27 , Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.27 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.27 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , 2, clause( 216, [ 'is_a_theorem'( implies( implies( X, implies( X, Y ) )
% 0.88/1.27 , implies( X, Y ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( implies( X, implies( X, Y ) ),
% 0.88/1.27 implies( X, Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.88/1.27 , Y )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 219, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.88/1.27 , clause( 7410, [ ~( 'is_a_theorem'( implies( implies( implies( X, implies(
% 0.88/1.27 X, Y ) ), implies( X, Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7411, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.88/1.27 ) ] )
% 0.88/1.27 , clause( 219, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, implies( X, Y ) ), implies( X, Y ) ), Z ) ) ) ] )
% 0.88/1.27 , 1, clause( 115, [ 'is_a_theorem'( implies( implies( implies( implies( X,
% 0.88/1.27 Y ), implies( Z, Y ) ), T ), implies( X, T ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( X, Y ) ), :=( Y, Y ), :=( Z,
% 0.88/1.27 implies( X, implies( implies( X, Y ), Y ) ) )] ), substitution( 1, [ :=(
% 0.88/1.27 X, X ), :=( Y, Y ), :=( Z, implies( X, Y ) ), :=( T, implies( implies( X
% 0.88/1.27 , Y ), Y ) )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 388, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y ) )
% 0.88/1.27 ) ] )
% 0.88/1.27 , clause( 7411, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y )
% 0.88/1.27 ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.88/1.27 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7413, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies( X
% 0.88/1.27 , Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.27 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.88/1.27 , ~( 'is_a_theorem'( X ) ) ] )
% 0.88/1.27 , 2, clause( 388, [ 'is_a_theorem'( implies( X, implies( implies( X, Y ), Y
% 0.88/1.27 ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, implies( X, implies( implies( X, Y ), Y ) )
% 0.88/1.27 ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 423, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.88/1.27 , implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 0.88/1.27 , clause( 7413, [ ~( 'is_a_theorem'( implies( implies( X, implies( implies(
% 0.88/1.27 X, Y ), Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7414, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( implies( X, T ), T ), Y ), Z ) ) ) ] )
% 0.88/1.27 , clause( 423, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 X, implies( implies( X, Y ), Y ) ), Z ) ) ) ] )
% 0.88/1.27 , 1, clause( 215, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.88/1.27 implies( implies( X, Z ), T ), implies( implies( Y, Z ), T ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, implies( implies(
% 0.88/1.27 implies( X, Y ), Z ), implies( implies( implies( implies( X, T ), T ), Y
% 0.88/1.27 ), Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, implies( implies( X
% 0.88/1.27 , T ), T ) ), :=( Z, Y ), :=( T, Z )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 2659, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( implies( X, T ), T ), Y ), Z ) ) ) ] )
% 0.88/1.27 , clause( 7414, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( implies( implies( X, T ), T ), Y ), Z ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7415, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.27 , Y ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.88/1.27 , clause( 10, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.88/1.27 )
% 0.88/1.27 , 1, clause( 2659, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.88/1.27 , implies( implies( implies( implies( X, T ), T ), Y ), Z ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, implies(
% 0.88/1.27 implies( implies( implies( X, Y ), Y ), Z ), implies( implies( Z, T ),
% 0.88/1.27 implies( X, T ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=(
% 0.88/1.27 Z, implies( implies( Z, T ), implies( X, T ) ) ), :=( T, Y )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 5146, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.27 , Y ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.88/1.27 , clause( 7415, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), Y ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7416, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.27 , implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 0.88/1.27 , clause( 218, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.27 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.88/1.27 , 1, clause( 5146, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 0.88/1.27 , Y ), Y ), Z ), implies( implies( Z, T ), implies( X, T ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, implies(
% 0.88/1.27 X, Z ) ), :=( U, implies( implies( implies( implies( X, Y ), implies( X,
% 0.88/1.27 Z ) ), T ), implies( implies( Y, Z ), T ) ) )] ), substitution( 1, [ :=(
% 0.88/1.27 X, implies( Y, Z ) ), :=( Y, implies( X, Z ) ), :=( Z, implies( implies(
% 0.88/1.27 X, Y ), implies( X, Z ) ) ), :=( T, T )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 6238, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.88/1.27 , implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 0.88/1.27 , clause( 7416, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.88/1.27 ), implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7417, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 0.88/1.27 , clause( 218, [ 'is_a_theorem'( U ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.88/1.27 implies( Z, X ), T ) ), U ) ) ) ] )
% 0.88/1.27 , 1, clause( 6238, [ 'is_a_theorem'( implies( implies( implies( implies( X
% 0.88/1.27 , Y ), implies( X, Z ) ), T ), implies( implies( Y, Z ), T ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, implies(
% 0.88/1.27 implies( T, Y ), Z ) ), :=( U, implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) )] ),
% 0.88/1.27 substitution( 1, [ :=( X, implies( T, Y ) ), :=( Y, implies( X, Y ) ),
% 0.88/1.27 :=( Z, Z ), :=( T, implies( implies( X, T ), implies( implies( T, Y ), Z
% 0.88/1.27 ) ) )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 6730, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 0.88/1.27 , clause( 7417, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7418, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.88/1.27 , clause( 43, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.88/1.27 implies( implies( X, Y ), X ), implies( Z, X ) ), T ) ) ) ] )
% 0.88/1.27 , 1, clause( 6730, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.88/1.27 , implies( implies( X, T ), implies( implies( T, Y ), Z ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, implies(
% 0.88/1.27 implies( implies( X, Y ), Z ), implies( implies( Z, X ), implies( T, X )
% 0.88/1.27 ) ) )] ), substitution( 1, [ :=( X, implies( X, Y ) ), :=( Y, X ), :=( Z
% 0.88/1.27 , implies( T, X ) ), :=( T, Z )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 7332, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.88/1.27 , clause( 7418, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z ),
% 0.88/1.27 implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.88/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 resolution(
% 0.88/1.27 clause( 7419, [] )
% 0.88/1.27 , clause( 5, [ ~( 'is_a_theorem'( implies( implies( implies( a, b ), c ),
% 0.88/1.27 implies( implies( c, a ), implies( e, a ) ) ) ) ) ] )
% 0.88/1.27 , 0, clause( 7332, [ 'is_a_theorem'( implies( implies( implies( X, Y ), Z )
% 0.88/1.27 , implies( implies( Z, X ), implies( T, X ) ) ) ) ] )
% 0.88/1.27 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.88/1.27 Z, c ), :=( T, e )] )).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 subsumption(
% 0.88/1.27 clause( 7380, [] )
% 0.88/1.27 , clause( 7419, [] )
% 0.88/1.27 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 end.
% 0.88/1.27
% 0.88/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.88/1.27
% 0.88/1.27 Memory use:
% 0.88/1.27
% 0.88/1.27 space for terms: 154740
% 0.88/1.27 space for clauses: 646846
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 clauses generated: 43782
% 0.88/1.27 clauses kept: 7381
% 0.88/1.27 clauses selected: 724
% 0.88/1.27 clauses deleted: 2
% 0.88/1.27 clauses inuse deleted: 1
% 0.88/1.27
% 0.88/1.27 subsentry: 37523
% 0.88/1.27 literals s-matched: 36404
% 0.88/1.27 literals matched: 36403
% 0.88/1.27 full subsumption: 0
% 0.88/1.27
% 0.88/1.27 checksum: 69338527
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Bliksem ended
%------------------------------------------------------------------------------