TSTP Solution File: LCL133-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:50:46 EDT 2022
% Result : Unsatisfiable 0.81s 1.18s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.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 : Mon Jul 4 11:14:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.81/1.18 *** allocated 10000 integers for termspace/termends
% 0.81/1.18 *** allocated 10000 integers for clauses
% 0.81/1.18 *** allocated 10000 integers for justifications
% 0.81/1.18 Bliksem 1.12
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Automatic Strategy Selection
% 0.81/1.18
% 0.81/1.18 Clauses:
% 0.81/1.18 [
% 0.81/1.18 [ =( implies( truth, X ), X ) ],
% 0.81/1.18 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.81/1.18 ) ), truth ) ],
% 0.81/1.18 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.81/1.18 ,
% 0.81/1.18 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.81/1.18 ],
% 0.81/1.18 [ =( implies( X, Y ), implies( Y, X ) ) ],
% 0.81/1.18 [ ~( =( x, y ) ) ]
% 0.81/1.18 ] .
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 percentage equality = 1.000000, percentage horn = 1.000000
% 0.81/1.18 This is a pure equality problem
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Options Used:
% 0.81/1.18
% 0.81/1.18 useres = 1
% 0.81/1.18 useparamod = 1
% 0.81/1.18 useeqrefl = 1
% 0.81/1.18 useeqfact = 1
% 0.81/1.18 usefactor = 1
% 0.81/1.18 usesimpsplitting = 0
% 0.81/1.18 usesimpdemod = 5
% 0.81/1.18 usesimpres = 3
% 0.81/1.18
% 0.81/1.18 resimpinuse = 1000
% 0.81/1.18 resimpclauses = 20000
% 0.81/1.18 substype = eqrewr
% 0.81/1.18 backwardsubs = 1
% 0.81/1.18 selectoldest = 5
% 0.81/1.18
% 0.81/1.18 litorderings [0] = split
% 0.81/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.18
% 0.81/1.18 termordering = kbo
% 0.81/1.18
% 0.81/1.18 litapriori = 0
% 0.81/1.18 termapriori = 1
% 0.81/1.18 litaposteriori = 0
% 0.81/1.18 termaposteriori = 0
% 0.81/1.18 demodaposteriori = 0
% 0.81/1.18 ordereqreflfact = 0
% 0.81/1.18
% 0.81/1.18 litselect = negord
% 0.81/1.18
% 0.81/1.18 maxweight = 15
% 0.81/1.18 maxdepth = 30000
% 0.81/1.18 maxlength = 115
% 0.81/1.18 maxnrvars = 195
% 0.81/1.18 excuselevel = 1
% 0.81/1.18 increasemaxweight = 1
% 0.81/1.18
% 0.81/1.18 maxselected = 10000000
% 0.81/1.18 maxnrclauses = 10000000
% 0.81/1.18
% 0.81/1.18 showgenerated = 0
% 0.81/1.18 showkept = 0
% 0.81/1.18 showselected = 0
% 0.81/1.18 showdeleted = 0
% 0.81/1.18 showresimp = 1
% 0.81/1.18 showstatus = 2000
% 0.81/1.18
% 0.81/1.18 prologoutput = 1
% 0.81/1.18 nrgoals = 5000000
% 0.81/1.18 totalproof = 1
% 0.81/1.18
% 0.81/1.18 Symbols occurring in the translation:
% 0.81/1.18
% 0.81/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.18 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.81/1.18 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.81/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.18 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.81/1.18 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.81/1.18 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.81/1.18 x [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.81/1.18 y [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Starting Search:
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Bliksems!, er is een bewijs:
% 0.81/1.18 % SZS status Unsatisfiable
% 0.81/1.18 % SZS output start Refutation
% 0.81/1.18
% 0.81/1.18 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.81/1.18 X, Z ) ) ), truth ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.81/1.18 ) ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 4, [ =( implies( X, Y ), implies( Y, X ) ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 5, [ ~( =( y, x ) ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 6, [ =( implies( X, truth ), X ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 8, [ =( implies( X, X ), X ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 25, [ =( implies( X, implies( X, Y ) ), truth ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 28, [ =( X, truth ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 30, [ =( Y, X ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 32, [ ~( =( X, x ) ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 33, [] )
% 0.81/1.18 .
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 % SZS output end Refutation
% 0.81/1.18 found a proof!
% 0.81/1.18
% 0.81/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.18
% 0.81/1.18 initialclauses(
% 0.81/1.18 [ clause( 35, [ =( implies( truth, X ), X ) ] )
% 0.81/1.18 , clause( 36, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.81/1.18 implies( X, Z ) ) ), truth ) ] )
% 0.81/1.18 , clause( 37, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.81/1.18 , X ) ) ] )
% 0.81/1.18 , clause( 38, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.81/1.18 ), truth ) ] )
% 0.81/1.18 , clause( 39, [ =( implies( X, Y ), implies( Y, X ) ) ] )
% 0.81/1.18 , clause( 40, [ ~( =( x, y ) ) ] )
% 0.81/1.18 ] ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.81/1.18 , clause( 35, [ =( implies( truth, X ), X ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.81/1.18 X, Z ) ) ), truth ) ] )
% 0.81/1.18 , clause( 36, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.81/1.18 implies( X, Z ) ) ), truth ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.81/1.18 ) ) ] )
% 0.81/1.18 , clause( 37, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.81/1.18 , X ) ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.18 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 4, [ =( implies( X, Y ), implies( Y, X ) ) ] )
% 0.81/1.18 , clause( 39, [ =( implies( X, Y ), implies( Y, X ) ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.18 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 52, [ ~( =( y, x ) ) ] )
% 0.81/1.18 , clause( 40, [ ~( =( x, y ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 5, [ ~( =( y, x ) ) ] )
% 0.81/1.18 , clause( 52, [ ~( =( y, x ) ) ] )
% 0.81/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 53, [ =( X, implies( truth, X ) ) ] )
% 0.81/1.18 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 54, [ =( X, implies( X, truth ) ) ] )
% 0.81/1.18 , clause( 4, [ =( implies( X, Y ), implies( Y, X ) ) ] )
% 0.81/1.18 , 0, clause( 53, [ =( X, implies( truth, X ) ) ] )
% 0.81/1.18 , 0, 2, substitution( 0, [ :=( X, truth ), :=( Y, X )] ), substitution( 1
% 0.81/1.18 , [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 57, [ =( implies( X, truth ), X ) ] )
% 0.81/1.18 , clause( 54, [ =( X, implies( X, truth ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 6, [ =( implies( X, truth ), X ) ] )
% 0.81/1.18 , clause( 57, [ =( implies( X, truth ), X ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 58, [ =( X, implies( X, truth ) ) ] )
% 0.81/1.18 , clause( 6, [ =( implies( X, truth ), X ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 61, [ =( implies( X, truth ), implies( implies( truth, X ), X ) ) ]
% 0.81/1.18 )
% 0.81/1.18 , clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ),
% 0.81/1.18 X ) ) ] )
% 0.81/1.18 , 0, clause( 58, [ =( X, implies( X, truth ) ) ] )
% 0.81/1.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, truth )] ), substitution( 1
% 0.81/1.18 , [ :=( X, implies( X, truth ) )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 63, [ =( implies( X, truth ), implies( X, X ) ) ] )
% 0.81/1.18 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.81/1.18 , 0, clause( 61, [ =( implies( X, truth ), implies( implies( truth, X ), X
% 0.81/1.18 ) ) ] )
% 0.81/1.18 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.81/1.18 ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 64, [ =( X, implies( X, X ) ) ] )
% 0.81/1.18 , clause( 6, [ =( implies( X, truth ), X ) ] )
% 0.81/1.18 , 0, clause( 63, [ =( implies( X, truth ), implies( X, X ) ) ] )
% 0.81/1.18 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.81/1.18 ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 65, [ =( implies( X, X ), X ) ] )
% 0.81/1.18 , clause( 64, [ =( X, implies( X, X ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 8, [ =( implies( X, X ), X ) ] )
% 0.81/1.18 , clause( 65, [ =( implies( X, X ), X ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 67, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.81/1.18 , implies( X, Z ) ) ) ) ] )
% 0.81/1.18 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.81/1.18 implies( X, Z ) ) ), truth ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 70, [ =( truth, implies( implies( X, X ), implies( X, Y ) ) ) ] )
% 0.81/1.18 , clause( 8, [ =( implies( X, X ), X ) ] )
% 0.81/1.18 , 0, clause( 67, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.81/1.18 , Z ), implies( X, Z ) ) ) ) ] )
% 0.81/1.18 , 0, 6, substitution( 0, [ :=( X, implies( X, Y ) )] ), substitution( 1, [
% 0.81/1.18 :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 74, [ =( truth, implies( X, implies( X, Y ) ) ) ] )
% 0.81/1.18 , clause( 8, [ =( implies( X, X ), X ) ] )
% 0.81/1.18 , 0, clause( 70, [ =( truth, implies( implies( X, X ), implies( X, Y ) ) )
% 0.81/1.18 ] )
% 0.81/1.18 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.81/1.18 :=( Y, Y )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 75, [ =( implies( X, implies( X, Y ) ), truth ) ] )
% 0.81/1.18 , clause( 74, [ =( truth, implies( X, implies( X, Y ) ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 25, [ =( implies( X, implies( X, Y ) ), truth ) ] )
% 0.81/1.18 , clause( 75, [ =( implies( X, implies( X, Y ) ), truth ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.18 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 76, [ =( truth, implies( X, implies( X, Y ) ) ) ] )
% 0.81/1.18 , clause( 25, [ =( implies( X, implies( X, Y ) ), truth ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 80, [ =( truth, implies( X, truth ) ) ] )
% 0.81/1.18 , clause( 25, [ =( implies( X, implies( X, Y ) ), truth ) ] )
% 0.81/1.18 , 0, clause( 76, [ =( truth, implies( X, implies( X, Y ) ) ) ] )
% 0.81/1.18 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.81/1.18 :=( X, X ), :=( Y, implies( X, Y ) )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 81, [ =( truth, X ) ] )
% 0.81/1.18 , clause( 6, [ =( implies( X, truth ), X ) ] )
% 0.81/1.18 , 0, clause( 80, [ =( truth, implies( X, truth ) ) ] )
% 0.81/1.18 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.81/1.18 ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 82, [ =( X, truth ) ] )
% 0.81/1.18 , clause( 81, [ =( truth, X ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 28, [ =( X, truth ) ] )
% 0.81/1.18 , clause( 82, [ =( X, truth ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 83, [ =( truth, X ) ] )
% 0.81/1.18 , clause( 28, [ =( X, truth ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 84, [ =( truth, X ) ] )
% 0.81/1.18 , clause( 28, [ =( X, truth ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 85, [ =( Y, X ) ] )
% 0.81/1.18 , clause( 83, [ =( truth, X ) ] )
% 0.81/1.18 , 0, clause( 84, [ =( truth, X ) ] )
% 0.81/1.18 , 0, 1, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X )] )
% 0.81/1.18 ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 30, [ =( Y, X ) ] )
% 0.81/1.18 , clause( 85, [ =( Y, X ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.18 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 86, [ ~( =( x, y ) ) ] )
% 0.81/1.18 , clause( 5, [ ~( =( y, x ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 88, [ ~( =( x, X ) ) ] )
% 0.81/1.18 , clause( 30, [ =( Y, X ) ] )
% 0.81/1.18 , 0, clause( 86, [ ~( =( x, y ) ) ] )
% 0.81/1.18 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, y )] ), substitution( 1, [] )
% 0.81/1.18 ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 paramod(
% 0.81/1.18 clause( 89, [ ~( =( Y, X ) ) ] )
% 0.81/1.18 , clause( 30, [ =( Y, X ) ] )
% 0.81/1.18 , 0, clause( 88, [ ~( =( x, X ) ) ] )
% 0.81/1.18 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, x )] ), substitution( 1, [
% 0.81/1.18 :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 32, [ ~( =( X, x ) ) ] )
% 0.81/1.18 , clause( 89, [ ~( =( Y, X ) ) ] )
% 0.81/1.18 , substitution( 0, [ :=( X, x ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.18 )] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqswap(
% 0.81/1.18 clause( 90, [ ~( =( x, X ) ) ] )
% 0.81/1.18 , clause( 32, [ ~( =( X, x ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 eqrefl(
% 0.81/1.18 clause( 91, [] )
% 0.81/1.18 , clause( 90, [ ~( =( x, X ) ) ] )
% 0.81/1.18 , 0, substitution( 0, [ :=( X, x )] )).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 subsumption(
% 0.81/1.18 clause( 33, [] )
% 0.81/1.18 , clause( 91, [] )
% 0.81/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 end.
% 0.81/1.18
% 0.81/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.18
% 0.81/1.18 Memory use:
% 0.81/1.18
% 0.81/1.18 space for terms: 483
% 0.81/1.18 space for clauses: 3576
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 clauses generated: 208
% 0.81/1.18 clauses kept: 34
% 0.81/1.18 clauses selected: 10
% 0.81/1.18 clauses deleted: 0
% 0.81/1.18 clauses inuse deleted: 0
% 0.81/1.18
% 0.81/1.18 subsentry: 261
% 0.81/1.18 literals s-matched: 163
% 0.81/1.18 literals matched: 161
% 0.81/1.18 full subsumption: 0
% 0.81/1.18
% 0.81/1.18 checksum: -209852023
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Bliksem ended
%------------------------------------------------------------------------------