TSTP Solution File: LCL132-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL132-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL132-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.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 06:27:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ =( implies( truth, X ), X ) ],
% 0.42/1.08 [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies( X, Z )
% 0.42/1.08 ) ), truth ) ],
% 0.42/1.08 [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X ), X ) ) ]
% 0.42/1.08 ,
% 0.42/1.08 [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X ) ), truth )
% 0.42/1.08 ],
% 0.42/1.08 [ ~( =( implies( x, x ), truth ) ) ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.08 This is a pure equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 1
% 0.42/1.08 useeqrefl = 1
% 0.42/1.08 useeqfact = 1
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 5
% 0.42/1.08 usesimpres = 3
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = eqrewr
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.08
% 0.42/1.08 termordering = kbo
% 0.42/1.08
% 0.42/1.08 litapriori = 0
% 0.42/1.08 termapriori = 1
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negord
% 0.42/1.08
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 1
% 0.42/1.08 increasemaxweight = 1
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 truth [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.08 implies [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.08 not [44, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.08 x [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Unsatisfiable
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.42/1.08 X, Z ) ) ), truth ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 4, [ ~( =( implies( x, x ), truth ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 24, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 35, [ =( implies( X, X ), truth ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 36, [] )
% 0.42/1.08 .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 initialclauses(
% 0.42/1.08 [ clause( 38, [ =( implies( truth, X ), X ) ] )
% 0.42/1.08 , clause( 39, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.42/1.08 implies( X, Z ) ) ), truth ) ] )
% 0.42/1.08 , clause( 40, [ =( implies( implies( X, Y ), Y ), implies( implies( Y, X )
% 0.42/1.08 , X ) ) ] )
% 0.42/1.08 , clause( 41, [ =( implies( implies( not( X ), not( Y ) ), implies( Y, X )
% 0.42/1.08 ), truth ) ] )
% 0.42/1.08 , clause( 42, [ ~( =( implies( x, x ), truth ) ) ] )
% 0.42/1.08 ] ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.08 , clause( 38, [ =( implies( truth, X ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ), implies(
% 0.42/1.08 X, Z ) ) ), truth ) ] )
% 0.42/1.08 , clause( 39, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.42/1.08 implies( X, Z ) ) ), truth ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 4, [ ~( =( implies( x, x ), truth ) ) ] )
% 0.42/1.08 , clause( 42, [ ~( =( implies( x, x ), truth ) ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 51, [ =( truth, implies( implies( X, Y ), implies( implies( Y, Z )
% 0.42/1.08 , implies( X, Z ) ) ) ) ] )
% 0.42/1.08 , clause( 1, [ =( implies( implies( X, Y ), implies( implies( Y, Z ),
% 0.42/1.08 implies( X, Z ) ) ), truth ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 55, [ =( truth, implies( implies( truth, X ), implies( implies( X,
% 0.42/1.08 Y ), Y ) ) ) ] )
% 0.42/1.08 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.08 , 0, clause( 51, [ =( truth, implies( implies( X, Y ), implies( implies( Y
% 0.42/1.08 , Z ), implies( X, Z ) ) ) ) ] )
% 0.42/1.08 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, truth
% 0.42/1.08 ), :=( Y, X ), :=( Z, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 57, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.42/1.08 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.08 , 0, clause( 55, [ =( truth, implies( implies( truth, X ), implies( implies(
% 0.42/1.08 X, Y ), Y ) ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.42/1.08 :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 58, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.42/1.08 , clause( 57, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 24, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ] )
% 0.42/1.08 , clause( 58, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.42/1.08 )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 59, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) ) ] )
% 0.42/1.08 , clause( 24, [ =( implies( X, implies( implies( X, Y ), Y ) ), truth ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 63, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.42/1.08 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.08 , 0, clause( 59, [ =( truth, implies( X, implies( implies( X, Y ), Y ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, truth )
% 0.42/1.08 , :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 65, [ =( truth, implies( X, X ) ) ] )
% 0.42/1.08 , clause( 0, [ =( implies( truth, X ), X ) ] )
% 0.42/1.08 , 0, clause( 63, [ =( truth, implies( truth, implies( X, X ) ) ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [ :=( X, implies( X, X ) )] ), substitution( 1, [
% 0.42/1.08 :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 66, [ =( implies( X, X ), truth ) ] )
% 0.42/1.08 , clause( 65, [ =( truth, implies( X, X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 35, [ =( implies( X, X ), truth ) ] )
% 0.72/1.08 , clause( 66, [ =( implies( X, X ), truth ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 67, [ =( truth, implies( X, X ) ) ] )
% 0.72/1.08 , clause( 35, [ =( implies( X, X ), truth ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 68, [ ~( =( truth, implies( x, x ) ) ) ] )
% 0.72/1.08 , clause( 4, [ ~( =( implies( x, x ), truth ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 69, [] )
% 0.72/1.08 , clause( 68, [ ~( =( truth, implies( x, x ) ) ) ] )
% 0.72/1.08 , 0, clause( 67, [ =( truth, implies( X, X ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 36, [] )
% 0.72/1.08 , clause( 69, [] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 end.
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 Memory use:
% 0.72/1.08
% 0.72/1.08 space for terms: 583
% 0.72/1.08 space for clauses: 4616
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 clauses generated: 100
% 0.72/1.08 clauses kept: 37
% 0.72/1.08 clauses selected: 8
% 0.72/1.08 clauses deleted: 0
% 0.72/1.08 clauses inuse deleted: 0
% 0.72/1.08
% 0.72/1.08 subsentry: 92
% 0.72/1.08 literals s-matched: 39
% 0.72/1.08 literals matched: 39
% 0.72/1.08 full subsumption: 0
% 0.72/1.08
% 0.72/1.08 checksum: -538848524
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksem ended
%------------------------------------------------------------------------------