TSTP Solution File: LCL135-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL135-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:50:47 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL135-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 3 00:38:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ =( implies( truth, X ), X ) ],
% 0.42/1.06 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.42/1.06 ) ), truth ) ],
% 0.42/1.06 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.42/1.06 ],
% 0.42/1.06 [ ~( =( implies( x, implies( y, x ) ), truth ) ) ]
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.06 This is a pure equality problem
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 1
% 0.42/1.06 useeqrefl = 1
% 0.42/1.06 useeqfact = 1
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 5
% 0.42/1.06 usesimpres = 3
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = eqrewr
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.06
% 0.42/1.06 termordering = kbo
% 0.42/1.06
% 0.42/1.06 litapriori = 0
% 0.42/1.06 termapriori = 1
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negord
% 0.42/1.06
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 1
% 0.42/1.06 increasemaxweight = 1
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.06 implies [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.06 not [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.06 x [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.06 y [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.42/1.06 X, Z ) ) ), truth ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.42/1.06 ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 4, [ ~( =( implies( x, implies( y, x ) ), truth ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.42/1.06 )
% 0.42/1.06 .
% 0.42/1.06 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 53, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 55, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , clause( 56, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.42/1.06 implies( X, Z ) ) ), truth ) ] )
% 0.42/1.06 , clause( 57, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.42/1.06 , X ) ) ] )
% 0.42/1.06 , clause( 58, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.42/1.06 ), truth ) ] )
% 0.42/1.06 , clause( 59, [ ~( =( implies( x, implies( y, x ) ), truth ) ) ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , clause( 55, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.42/1.06 X, Z ) ) ), truth ) ] )
% 0.42/1.06 , clause( 56, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.42/1.06 implies( X, Z ) ) ), truth ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 57, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.42/1.06 , X ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 4, [ ~( =( implies( x, implies( y, x ) ), truth ) ) ] )
% 0.42/1.06 , clause( 59, [ ~( =( implies( x, implies( y, x ) ), truth ) ) ] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 70, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.42/1.06 ), X ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.42/1.06 , :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 70, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.42/1.06 ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 73, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.42/1.06 , implies( X, Z ) ) ) ) ] )
% 0.42/1.06 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.42/1.06 implies( X, Z ) ) ), truth ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 77, [ =( truth, implies( implies( truth, X ), implies( implies( X,
% 0.42/1.06 Y ), Y ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , 0, clause( 73, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.42/1.06 , Z ), implies( X, Z ) ) ) ) ] )
% 0.42/1.06 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.42/1.06 ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 79, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , 0, clause( 77, [ =( truth, implies( implies( truth, X ), implies( implies(
% 0.42/1.06 X, Y ), Y ) ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 80, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.42/1.06 , clause( 79, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.42/1.06 , clause( 80, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.42/1.06 )
% 0.42/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 81, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.42/1.06 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 85, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , 0, clause( 81, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.42/1.06 , :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 87, [ =( truth, implies( X, X ) ) ] )
% 0.42/1.06 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , 0, clause( 85, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.42/1.06 :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 88, [ =( implies( X, X ), truth ) ] )
% 0.42/1.06 , clause( 87, [ =( truth, implies( X, X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.42/1.06 , clause( 88, [ =( implies( X, X ), truth ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 89, [ =( truth, implies( X, X ) ) ] )
% 0.42/1.06 , clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 91, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.42/1.06 , clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, clause( 89, [ =( truth, implies( X, X ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 92, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.42/1.06 , clause( 91, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.42/1.06 , clause( 92, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 94, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.42/1.06 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.42/1.06 )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 95, [ =( truth, implies( X, truth ) ) ] )
% 0.42/1.06 , clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.42/1.06 , 0, clause( 94, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, truth )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 97, [ =( implies( X, truth ), truth ) ] )
% 0.42/1.06 , clause( 95, [ =( truth, implies( X, truth ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.42/1.06 , clause( 97, [ =( implies( X, truth ), truth ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 100, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.42/1.06 , implies( X, Z ) ) ) ) ] )
% 0.42/1.06 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.42/1.06 implies( X, Z ) ) ), truth ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 103, [ =( truth, implies( truth, implies( implies( truth, Y ),
% 0.42/1.06 implies( X, Y ) ) ) ) ] )
% 0.42/1.06 , clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.42/1.06 , 0, clause( 100, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.42/1.06 , Z ), implies( X, Z ) ) ) ) ] )
% 0.42/1.06 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.06 :=( Y, truth ), :=( Z, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 112, [ =( truth, implies( truth, implies( X, implies( Y, X ) ) ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , 0, clause( 103, [ =( truth, implies( truth, implies( implies( truth, Y )
% 0.42/1.06 , implies( X, Y ) ) ) ) ] )
% 0.42/1.06 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.42/1.06 :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 paramod(
% 0.42/1.06 clause( 114, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.42/1.06 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.06 , 0, clause( 112, [ =( truth, implies( truth, implies( X, implies( Y, X ) )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , 0, 2, substitution( 0, [ :=( X, implies( X, implies( Y, X ) ) )] ),
% 0.42/1.06 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 115, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.42/1.06 , clause( 114, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.42/1.06 , clause( 115, [ =( implies( X, implies( Y, X ) ), truth ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.06 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 116, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.42/1.06 , clause( 51, [ =( implies( Y, implies( X, Y ) ), truth ) ] )
% 0.42/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 eqswap(
% 0.42/1.06 clause( 117, [ ~( =( truth, implies( x, implies( y, x ) ) ) ) ] )
% 0.42/1.06 , clause( 4, [ ~( =( implies( x, implies( y, x ) ), truth ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 118, [] )
% 0.42/1.06 , clause( 117, [ ~( =( truth, implies( x, implies( y, x ) ) ) ) ] )
% 0.42/1.06 , 0, clause( 116, [ =( truth, implies( X, implies( Y, X ) ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.42/1.06 ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 53, [] )
% 0.42/1.06 , clause( 118, [] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 end.
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 Memory use:
% 0.42/1.06
% 0.42/1.06 space for terms: 804
% 0.42/1.06 space for clauses: 6731
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 clauses generated: 183
% 0.42/1.06 clauses kept: 54
% 0.42/1.06 clauses selected: 11
% 0.42/1.06 clauses deleted: 1
% 0.42/1.06 clauses inuse deleted: 0
% 0.42/1.06
% 0.42/1.06 subsentry: 179
% 0.42/1.06 literals s-matched: 63
% 0.42/1.06 literals matched: 63
% 0.42/1.06 full subsumption: 0
% 0.42/1.06
% 0.42/1.06 checksum: 1152922132
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksem ended
%------------------------------------------------------------------------------