TSTP Solution File: LCL397-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% 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 07:53:18 EDT 2022
% Result : Unsatisfiable 0.41s 1.06s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12 % 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 : Mon Jul 4 01:45:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/1.06 *** allocated 10000 integers for termspace/termends
% 0.41/1.06 *** allocated 10000 integers for clauses
% 0.41/1.06 *** allocated 10000 integers for justifications
% 0.41/1.06 Bliksem 1.12
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Automatic Strategy Selection
% 0.41/1.06
% 0.41/1.06 Clauses:
% 0.41/1.06 [
% 0.41/1.06 [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'( X ) ),
% 0.41/1.06 'is_a_theorem'( Y ) ],
% 0.41/1.06 [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.41/1.06 implies( X, Z ) ) ) ) ],
% 0.41/1.06 [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ],
% 0.41/1.06 [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ],
% 0.41/1.06 [ ~( 'is_a_theorem'( implies( x, implies( y, y ) ) ) ) ]
% 0.41/1.06 ] .
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 percentage equality = 0.000000, percentage horn = 1.000000
% 0.41/1.06 This is a near-Horn, non-equality problem
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Options Used:
% 0.41/1.06
% 0.41/1.06 useres = 1
% 0.41/1.06 useparamod = 0
% 0.41/1.06 useeqrefl = 0
% 0.41/1.06 useeqfact = 0
% 0.41/1.06 usefactor = 1
% 0.41/1.06 usesimpsplitting = 0
% 0.41/1.06 usesimpdemod = 0
% 0.41/1.06 usesimpres = 4
% 0.41/1.06
% 0.41/1.06 resimpinuse = 1000
% 0.41/1.06 resimpclauses = 20000
% 0.41/1.06 substype = standard
% 0.41/1.06 backwardsubs = 1
% 0.41/1.06 selectoldest = 5
% 0.41/1.06
% 0.41/1.06 litorderings [0] = split
% 0.41/1.06 litorderings [1] = liftord
% 0.41/1.06
% 0.41/1.06 termordering = none
% 0.41/1.06
% 0.41/1.06 litapriori = 1
% 0.41/1.06 termapriori = 0
% 0.41/1.06 litaposteriori = 0
% 0.41/1.06 termaposteriori = 0
% 0.41/1.06 demodaposteriori = 0
% 0.41/1.06 ordereqreflfact = 0
% 0.41/1.06
% 0.41/1.06 litselect = negative
% 0.41/1.06
% 0.41/1.06 maxweight = 30000
% 0.41/1.06 maxdepth = 30000
% 0.41/1.06 maxlength = 115
% 0.41/1.06 maxnrvars = 195
% 0.41/1.06 excuselevel = 0
% 0.41/1.06 increasemaxweight = 0
% 0.41/1.06
% 0.41/1.06 maxselected = 10000000
% 0.41/1.06 maxnrclauses = 10000000
% 0.41/1.06
% 0.41/1.06 showgenerated = 0
% 0.41/1.06 showkept = 0
% 0.41/1.06 showselected = 0
% 0.41/1.06 showdeleted = 0
% 0.41/1.06 showresimp = 1
% 0.41/1.06 showstatus = 2000
% 0.41/1.06
% 0.41/1.06 prologoutput = 1
% 0.41/1.06 nrgoals = 5000000
% 0.41/1.06 totalproof = 1
% 0.41/1.06
% 0.41/1.06 Symbols occurring in the translation:
% 0.41/1.06
% 0.41/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.06 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.41/1.06 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.41/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.06 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.41/1.06 'is_a_theorem' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.41/1.06 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.41/1.06 x [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.41/1.06 y [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Starting Search:
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Bliksems!, er is een bewijs:
% 0.41/1.06 % SZS status Unsatisfiable
% 0.41/1.06 % SZS output start Refutation
% 0.41/1.06
% 0.41/1.06 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.41/1.06 ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.41/1.06 , Z ), implies( X, Z ) ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( y, y ) ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.41/1.06 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 .
% 0.41/1.06 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.41/1.06 , implies( X, Z ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.41/1.06 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.41/1.06 X ), Y ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.41/1.06 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.41/1.06 , implies( X, Z ) ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.41/1.06 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.41/1.06 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 159, [] )
% 0.41/1.06 .
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 % SZS output end Refutation
% 0.41/1.06 found a proof!
% 0.41/1.06
% 0.41/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06
% 0.41/1.06 initialclauses(
% 0.41/1.06 [ clause( 161, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.41/1.06 X ) ), 'is_a_theorem'( Y ) ] )
% 0.41/1.06 , clause( 162, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.41/1.06 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , clause( 163, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 164, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 165, [ ~( 'is_a_theorem'( implies( x, implies( y, y ) ) ) ) ] )
% 0.41/1.06 ] ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y ),
% 0.41/1.06 ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 , clause( 161, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), ~( 'is_a_theorem'(
% 0.41/1.06 X ) ), 'is_a_theorem'( Y ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies( Y
% 0.41/1.06 , Z ), implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , clause( 162, [ 'is_a_theorem'( implies( implies( X, Y ), implies( implies(
% 0.41/1.06 Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ] )
% 0.41/1.06 , clause( 163, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ] )
% 0.41/1.06 , clause( 164, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( y, y ) ) ) ) ] )
% 0.41/1.06 , clause( 165, [ ~( 'is_a_theorem'( implies( x, implies( y, y ) ) ) ) ] )
% 0.41/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 167, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X )
% 0.41/1.06 , X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.41/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.41/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 , 2, clause( 2, [ 'is_a_theorem'( implies( implies( not( X ), X ), X ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, implies( implies( not( X ), X ), X ) ), :=(
% 0.41/1.06 Y, Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.41/1.06 , clause( 167, [ ~( 'is_a_theorem'( implies( implies( implies( not( X ), X
% 0.41/1.06 ), X ), Y ) ) ), 'is_a_theorem'( Y ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.06 ), ==>( 1, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 169, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X ), Y
% 0.41/1.06 ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.41/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.41/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 , 2, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, implies( X, implies( not( X ), Y ) ) ), :=(
% 0.41/1.06 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X,
% 0.41/1.06 implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.41/1.06 , clause( 169, [ ~( 'is_a_theorem'( implies( implies( X, implies( not( X )
% 0.41/1.06 , Y ) ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 171, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.41/1.06 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.41/1.06 ) ] )
% 0.41/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.41/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 , 2, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.41/1.06 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, implies( implies( X, Y ), implies( implies(
% 0.41/1.06 Y, Z ), implies( X, Z ) ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X
% 0.41/1.06 ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 171, [ ~( 'is_a_theorem'( implies( implies( implies( X, Y ),
% 0.41/1.06 implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ), 'is_a_theorem'( T
% 0.41/1.06 ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 172, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z
% 0.41/1.06 ), implies( X, Z ) ) ) ] )
% 0.41/1.06 , clause( 6, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( X
% 0.41/1.06 , implies( not( X ), Y ) ), Z ) ) ) ] )
% 0.41/1.06 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.41/1.06 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, implies( implies(
% 0.41/1.06 implies( not( X ), Y ), Z ), implies( X, Z ) ) )] ), substitution( 1, [
% 0.41/1.06 :=( X, X ), :=( Y, implies( not( X ), Y ) ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ), Z )
% 0.41/1.06 , implies( X, Z ) ) ) ] )
% 0.41/1.06 , clause( 172, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y ),
% 0.41/1.06 Z ), implies( X, Z ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 173, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.41/1.06 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.41/1.06 , clause( 7, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( X, Y ), implies( implies( Y, Z ), implies( X, Z ) ) ), T ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.41/1.06 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.41/1.06 implies( implies( implies( X, Y ), implies( Z, Y ) ), T ), implies(
% 0.41/1.06 implies( Z, X ), T ) ) )] ), substitution( 1, [ :=( X, implies( Z, X ) )
% 0.41/1.06 , :=( Y, implies( implies( X, Y ), implies( Z, Y ) ) ), :=( Z, T )] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y ),
% 0.41/1.06 implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.41/1.06 , clause( 173, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y )
% 0.41/1.06 , implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 174, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.41/1.06 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.41/1.06 , 1, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.41/1.06 , Z ), implies( X, Z ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( X, X ) )] ),
% 0.41/1.06 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.41/1.06 , clause( 174, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 176, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.41/1.06 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.41/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.41/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 , 2, clause( 14, [ 'is_a_theorem'( implies( implies( implies( not( X ), Y )
% 0.41/1.06 , Z ), implies( X, Z ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, implies( implies( implies( not( X ), Y ), Z
% 0.41/1.06 ), implies( X, Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.41/1.06 , clause( 176, [ ~( 'is_a_theorem'( implies( implies( implies( implies( not(
% 0.41/1.06 X ), Y ), Z ), implies( X, Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 178, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.41/1.06 'is_a_theorem'( Y ) ] )
% 0.41/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.41/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 , 2, clause( 23, [ 'is_a_theorem'( implies( X, X ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, implies( X, X ) ), :=( Y, Y )] ),
% 0.41/1.06 substitution( 1, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X,
% 0.41/1.06 X ), Y ) ) ) ] )
% 0.41/1.06 , clause( 178, [ ~( 'is_a_theorem'( implies( implies( X, X ), Y ) ) ),
% 0.41/1.06 'is_a_theorem'( Y ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.06 ), ==>( 1, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 179, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.41/1.06 , clause( 25, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies( X
% 0.41/1.06 , X ), Y ) ) ) ] )
% 0.41/1.06 , 1, clause( 3, [ 'is_a_theorem'( implies( X, implies( not( X ), Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, implies( not( implies( X, X ) )
% 0.41/1.06 , Y ) )] ), substitution( 1, [ :=( X, implies( X, X ) ), :=( Y, Y )] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ] )
% 0.41/1.06 , clause( 179, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 181, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X ) )
% 0.41/1.06 , Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.41/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.41/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 , 2, clause( 26, [ 'is_a_theorem'( implies( not( implies( X, X ) ), Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, implies( not( implies( X, X ) ), Y ) ), :=(
% 0.41/1.06 Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies( not(
% 0.41/1.06 implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.41/1.06 , clause( 181, [ ~( 'is_a_theorem'( implies( implies( not( implies( X, X )
% 0.41/1.06 ), Y ), Z ) ) ), 'is_a_theorem'( Z ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 182, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.41/1.06 , implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , clause( 24, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( implies( not( X ), Y ), Z ), implies( X, Z ) ), T ) ) ) ] )
% 0.41/1.06 , 1, clause( 18, [ 'is_a_theorem'( implies( implies( implies( implies( X, Y
% 0.41/1.06 ), implies( Z, Y ) ), T ), implies( implies( Z, X ), T ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, implies( X, Z ) ),
% 0.41/1.06 :=( T, implies( implies( X, not( Y ) ), implies( Y, implies( X, Z ) ) ) )] )
% 0.41/1.06 , substitution( 1, [ :=( X, not( Y ) ), :=( Y, Z ), :=( Z, X ), :=( T,
% 0.41/1.06 implies( Y, implies( X, Z ) ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies( Y
% 0.41/1.06 , implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , clause( 182, [ 'is_a_theorem'( implies( implies( X, not( Y ) ), implies(
% 0.41/1.06 Y, implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 183, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , clause( 30, [ 'is_a_theorem'( Z ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 not( implies( X, X ) ), Y ), Z ) ) ) ] )
% 0.41/1.06 , 1, clause( 128, [ 'is_a_theorem'( implies( implies( X, not( Y ) ),
% 0.41/1.06 implies( Y, implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, not( X ) ), :=( Z, implies( X,
% 0.41/1.06 implies( not( implies( Y, Y ) ), Z ) ) )] ), substitution( 1, [ :=( X,
% 0.41/1.06 not( implies( Y, Y ) ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y ) )
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , clause( 183, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y )
% 0.41/1.06 ), Z ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 185, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.41/1.06 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.41/1.06 , clause( 0, [ ~( 'is_a_theorem'( implies( X, Y ) ) ), 'is_a_theorem'( Y )
% 0.41/1.06 , ~( 'is_a_theorem'( X ) ) ] )
% 0.41/1.06 , 2, clause( 136, [ 'is_a_theorem'( implies( X, implies( not( implies( Y, Y
% 0.41/1.06 ) ), Z ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, implies( X, implies( not( implies( Y, Y ) )
% 0.41/1.06 , Z ) ) ), :=( Y, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.41/1.06 Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies( X
% 0.41/1.06 , implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.41/1.06 , clause( 185, [ ~( 'is_a_theorem'( implies( implies( X, implies( not(
% 0.41/1.06 implies( Y, Y ) ), Z ) ), T ) ) ), 'is_a_theorem'( T ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 186, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.41/1.06 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.41/1.06 , clause( 139, [ 'is_a_theorem'( T ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 X, implies( not( implies( Y, Y ) ), Z ) ), T ) ) ) ] )
% 0.41/1.06 , 1, clause( 1, [ 'is_a_theorem'( implies( implies( X, Y ), implies(
% 0.41/1.06 implies( Y, Z ), implies( X, Z ) ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, implies(
% 0.41/1.06 implies( implies( not( implies( X, X ) ), Y ), Z ), implies( T, Z ) ) )] )
% 0.41/1.06 , substitution( 1, [ :=( X, T ), :=( Y, implies( not( implies( X, X ) ),
% 0.41/1.06 Y ) ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies( X,
% 0.41/1.06 X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.41/1.06 , clause( 186, [ 'is_a_theorem'( implies( implies( implies( not( implies( X
% 0.41/1.06 , X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 187, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.41/1.06 , clause( 5, [ 'is_a_theorem'( Y ), ~( 'is_a_theorem'( implies( implies(
% 0.41/1.06 implies( not( X ), X ), X ), Y ) ) ) ] )
% 0.41/1.06 , 1, clause( 150, [ 'is_a_theorem'( implies( implies( implies( not( implies(
% 0.41/1.06 X, X ) ), Y ), Z ), implies( T, Z ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, implies( Y, Y ) ), :=( Y, implies( X,
% 0.41/1.06 implies( Y, Y ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, implies( Y
% 0.41/1.06 , Y ) ), :=( Z, implies( Y, Y ) ), :=( T, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.41/1.06 , clause( 187, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 188, [] )
% 0.41/1.06 , clause( 4, [ ~( 'is_a_theorem'( implies( x, implies( y, y ) ) ) ) ] )
% 0.41/1.06 , 0, clause( 155, [ 'is_a_theorem'( implies( X, implies( Y, Y ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 159, [] )
% 0.41/1.06 , clause( 188, [] )
% 0.41/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 end.
% 0.41/1.06
% 0.41/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06
% 0.41/1.06 Memory use:
% 0.41/1.06
% 0.41/1.06 space for terms: 2710
% 0.41/1.06 space for clauses: 16659
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 clauses generated: 353
% 0.41/1.06 clauses kept: 160
% 0.41/1.06 clauses selected: 62
% 0.41/1.06 clauses deleted: 0
% 0.41/1.06 clauses inuse deleted: 0
% 0.41/1.06
% 0.41/1.06 subsentry: 260
% 0.41/1.06 literals s-matched: 194
% 0.41/1.06 literals matched: 194
% 0.41/1.06 full subsumption: 0
% 0.41/1.06
% 0.41/1.06 checksum: -1030891686
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Bliksem ended
%------------------------------------------------------------------------------