TSTP Solution File: LCL134-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 0.50s 1.16s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sun Jul 3 04:41:51 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.50/1.16 *** allocated 10000 integers for termspace/termends
% 0.50/1.16 *** allocated 10000 integers for clauses
% 0.50/1.16 *** allocated 10000 integers for justifications
% 0.50/1.16 Bliksem 1.12
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Automatic Strategy Selection
% 0.50/1.16
% 0.50/1.16 Clauses:
% 0.50/1.16 [
% 0.50/1.16 [ =( implies( truth, X ), X ) ],
% 0.50/1.16 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.50/1.16 ) ), truth ) ],
% 0.50/1.16 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.50/1.16 ,
% 0.50/1.16 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.50/1.16 ],
% 0.50/1.16 [ ~( =( implies( x, truth ), truth ) ) ]
% 0.50/1.16 ] .
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.50/1.16 This is a pure equality problem
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Options Used:
% 0.50/1.16
% 0.50/1.16 useres = 1
% 0.50/1.16 useparamod = 1
% 0.50/1.16 useeqrefl = 1
% 0.50/1.16 useeqfact = 1
% 0.50/1.16 usefactor = 1
% 0.50/1.16 usesimpsplitting = 0
% 0.50/1.16 usesimpdemod = 5
% 0.50/1.16 usesimpres = 3
% 0.50/1.16
% 0.50/1.16 resimpinuse = 1000
% 0.50/1.16 resimpclauses = 20000
% 0.50/1.16 substype = eqrewr
% 0.50/1.16 backwardsubs = 1
% 0.50/1.16 selectoldest = 5
% 0.50/1.16
% 0.50/1.16 litorderings [0] = split
% 0.50/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.50/1.16
% 0.50/1.16 termordering = kbo
% 0.50/1.16
% 0.50/1.16 litapriori = 0
% 0.50/1.16 termapriori = 1
% 0.50/1.16 litaposteriori = 0
% 0.50/1.16 termaposteriori = 0
% 0.50/1.16 demodaposteriori = 0
% 0.50/1.16 ordereqreflfact = 0
% 0.50/1.16
% 0.50/1.16 litselect = negord
% 0.50/1.16
% 0.50/1.16 maxweight = 15
% 0.50/1.16 maxdepth = 30000
% 0.50/1.16 maxlength = 115
% 0.50/1.16 maxnrvars = 195
% 0.50/1.16 excuselevel = 1
% 0.50/1.16 increasemaxweight = 1
% 0.50/1.16
% 0.50/1.16 maxselected = 10000000
% 0.50/1.16 maxnrclauses = 10000000
% 0.50/1.16
% 0.50/1.16 showgenerated = 0
% 0.50/1.16 showkept = 0
% 0.50/1.16 showselected = 0
% 0.50/1.16 showdeleted = 0
% 0.50/1.16 showresimp = 1
% 0.50/1.16 showstatus = 2000
% 0.50/1.16
% 0.50/1.16 prologoutput = 1
% 0.50/1.16 nrgoals = 5000000
% 0.50/1.16 totalproof = 1
% 0.50/1.16
% 0.50/1.16 Symbols occurring in the translation:
% 0.50/1.16
% 0.50/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.50/1.16 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.50/1.16 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.50/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.16 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.50/1.16 implies [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.50/1.16 not [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.50/1.16 x [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Starting Search:
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Bliksems!, er is een bewijs:
% 0.50/1.16 % SZS status Unsatisfiable
% 0.50/1.16 % SZS output start Refutation
% 0.50/1.16
% 0.50/1.16 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.50/1.16 X, Z ) ) ), truth ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.50/1.16 ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 4, [ ~( =( implies( x, truth ), truth ) ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.50/1.16 )
% 0.50/1.16 .
% 0.50/1.16 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.50/1.16 .
% 0.50/1.16 clause( 51, [] )
% 0.50/1.16 .
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 % SZS output end Refutation
% 0.50/1.16 found a proof!
% 0.50/1.16
% 0.50/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.16
% 0.50/1.16 initialclauses(
% 0.50/1.16 [ clause( 53, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 , clause( 54, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.50/1.16 implies( X, Z ) ) ), truth ) ] )
% 0.50/1.16 , clause( 55, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.50/1.16 , X ) ) ] )
% 0.50/1.16 , clause( 56, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.50/1.16 ), truth ) ] )
% 0.50/1.16 , clause( 57, [ ~( =( implies( x, truth ), truth ) ) ] )
% 0.50/1.16 ] ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 , clause( 53, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.50/1.16 X, Z ) ) ), truth ) ] )
% 0.50/1.16 , clause( 54, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.50/1.16 implies( X, Z ) ) ), truth ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X
% 0.50/1.16 ) ) ] )
% 0.50/1.16 , clause( 55, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.50/1.16 , X ) ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 4, [ ~( =( implies( x, truth ), truth ) ) ] )
% 0.50/1.16 , clause( 57, [ ~( =( implies( x, truth ), truth ) ) ] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 68, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 , 0, clause( 2, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X
% 0.50/1.16 ), X ) ) ] )
% 0.50/1.16 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.50/1.16 , :=( Y, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , clause( 68, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.50/1.16 ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 71, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.50/1.16 , implies( X, Z ) ) ) ) ] )
% 0.50/1.16 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.50/1.16 implies( X, Z ) ) ), truth ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 75, [ =( truth, implies( implies( truth, X ), implies( implies( X,
% 0.50/1.16 Y ), Y ) ) ) ] )
% 0.50/1.16 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 , 0, clause( 71, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.50/1.16 , Z ), implies( X, Z ) ) ) ) ] )
% 0.50/1.16 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.50/1.16 ), :=( Y, X ), :=( Z, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 77, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.50/1.16 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 , 0, clause( 75, [ =( truth, implies( implies( truth, X ), implies( implies(
% 0.50/1.16 X, Y ), Y ) ) ) ] )
% 0.50/1.16 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.50/1.16 :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 78, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.50/1.16 , clause( 77, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.50/1.16 , clause( 78, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.50/1.16 )
% 0.50/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.16 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 79, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.50/1.16 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 83, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.50/1.16 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 , 0, clause( 79, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.50/1.16 ] )
% 0.50/1.16 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.50/1.16 , :=( Y, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 85, [ =( truth, implies( X, X ) ) ] )
% 0.50/1.16 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.50/1.16 , 0, clause( 83, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.50/1.16 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.50/1.16 :=( X, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 86, [ =( implies( X, X ), truth ) ] )
% 0.50/1.16 , clause( 85, [ =( truth, implies( X, X ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.50/1.16 , clause( 86, [ =( implies( X, X ), truth ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 87, [ =( truth, implies( X, X ) ) ] )
% 0.50/1.16 , clause( 47, [ =( implies( X, X ), truth ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 89, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.50/1.16 , clause( 6, [ =( implies( X, X ), implies( implies( X, truth ), truth ) )
% 0.50/1.16 ] )
% 0.50/1.16 , 0, clause( 87, [ =( truth, implies( X, X ) ) ] )
% 0.50/1.16 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.50/1.16 ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 90, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.50/1.16 , clause( 89, [ =( truth, implies( implies( X, truth ), truth ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.50/1.16 , clause( 90, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 92, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.50/1.16 , clause( 35, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.50/1.16 )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 paramod(
% 0.50/1.16 clause( 93, [ =( truth, implies( X, truth ) ) ] )
% 0.50/1.16 , clause( 49, [ =( implies( implies( X, truth ), truth ), truth ) ] )
% 0.50/1.16 , 0, clause( 92, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.50/1.16 ] )
% 0.50/1.16 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.50/1.16 :=( Y, truth )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 95, [ =( implies( X, truth ), truth ) ] )
% 0.50/1.16 , clause( 93, [ =( truth, implies( X, truth ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.50/1.16 , clause( 95, [ =( implies( X, truth ), truth ) ] )
% 0.50/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 97, [ =( truth, implies( X, truth ) ) ] )
% 0.50/1.16 , clause( 50, [ =( implies( X, truth ), truth ) ] )
% 0.50/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 eqswap(
% 0.50/1.16 clause( 98, [ ~( =( truth, implies( x, truth ) ) ) ] )
% 0.50/1.16 , clause( 4, [ ~( =( implies( x, truth ), truth ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 resolution(
% 0.50/1.16 clause( 99, [] )
% 0.50/1.16 , clause( 98, [ ~( =( truth, implies( x, truth ) ) ) ] )
% 0.50/1.16 , 0, clause( 97, [ =( truth, implies( X, truth ) ) ] )
% 0.50/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 subsumption(
% 0.50/1.16 clause( 51, [] )
% 0.50/1.16 , clause( 99, [] )
% 0.50/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 end.
% 0.50/1.16
% 0.50/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.16
% 0.50/1.16 Memory use:
% 0.50/1.16
% 0.50/1.16 space for terms: 780
% 0.50/1.16 space for clauses: 6552
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 clauses generated: 156
% 0.50/1.16 clauses kept: 52
% 0.50/1.16 clauses selected: 10
% 0.50/1.16 clauses deleted: 0
% 0.50/1.16 clauses inuse deleted: 0
% 0.50/1.16
% 0.50/1.16 subsentry: 137
% 0.50/1.16 literals s-matched: 55
% 0.50/1.16 literals matched: 55
% 0.50/1.16 full subsumption: 0
% 0.50/1.16
% 0.50/1.16 checksum: 1169702141
% 0.50/1.16
% 0.50/1.16
% 0.50/1.16 Bliksem ended
%------------------------------------------------------------------------------