TSTP Solution File: LCL441-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL441-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:53:45 EDT 2022
% Result : Unsatisfiable 0.66s 1.06s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL441-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sun Jul 3 16:28:20 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.66/1.06 *** allocated 10000 integers for termspace/termends
% 0.66/1.06 *** allocated 10000 integers for clauses
% 0.66/1.06 *** allocated 10000 integers for justifications
% 0.66/1.06 Bliksem 1.12
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Automatic Strategy Selection
% 0.66/1.06
% 0.66/1.06 Clauses:
% 0.66/1.06 [
% 0.66/1.06 [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 0.66/1.06 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.66/1.06 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 0.66/1.06 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'( 't_a' )
% 0.66/1.06 ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ],
% 0.66/1.06 [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 0.66/1.06 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.66/1.06 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ]
% 0.66/1.06 ] .
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 percentage equality = 0.000000, percentage horn = 1.000000
% 0.66/1.06 This is a near-Horn, non-equality problem
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Options Used:
% 0.66/1.06
% 0.66/1.06 useres = 1
% 0.66/1.06 useparamod = 0
% 0.66/1.06 useeqrefl = 0
% 0.66/1.06 useeqfact = 0
% 0.66/1.06 usefactor = 1
% 0.66/1.06 usesimpsplitting = 0
% 0.66/1.06 usesimpdemod = 0
% 0.66/1.06 usesimpres = 4
% 0.66/1.06
% 0.66/1.06 resimpinuse = 1000
% 0.66/1.06 resimpclauses = 20000
% 0.66/1.06 substype = standard
% 0.66/1.06 backwardsubs = 1
% 0.66/1.06 selectoldest = 5
% 0.66/1.06
% 0.66/1.06 litorderings [0] = split
% 0.66/1.06 litorderings [1] = liftord
% 0.66/1.06
% 0.66/1.06 termordering = none
% 0.66/1.06
% 0.66/1.06 litapriori = 1
% 0.66/1.06 termapriori = 0
% 0.66/1.06 litaposteriori = 0
% 0.66/1.06 termaposteriori = 0
% 0.66/1.06 demodaposteriori = 0
% 0.66/1.06 ordereqreflfact = 0
% 0.66/1.06
% 0.66/1.06 litselect = negative
% 0.66/1.06
% 0.66/1.06 maxweight = 30000
% 0.66/1.06 maxdepth = 30000
% 0.66/1.06 maxlength = 115
% 0.66/1.06 maxnrvars = 195
% 0.66/1.06 excuselevel = 0
% 0.66/1.06 increasemaxweight = 0
% 0.66/1.06
% 0.66/1.06 maxselected = 10000000
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06
% 0.66/1.06 showgenerated = 0
% 0.66/1.06 showkept = 0
% 0.66/1.06 showselected = 0
% 0.66/1.06 showdeleted = 0
% 0.66/1.06 showresimp = 1
% 0.66/1.06 showstatus = 2000
% 0.66/1.06
% 0.66/1.06 prologoutput = 1
% 0.66/1.06 nrgoals = 5000000
% 0.66/1.06 totalproof = 1
% 0.66/1.06
% 0.66/1.06 Symbols occurring in the translation:
% 0.66/1.06
% 0.66/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.06 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.66/1.06 ! [4, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.66/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.06 'v_a' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.66/1.06 't_a' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.66/1.06 'c_PropLog_Opl_Ovar' [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.66/1.06 'c_PropLog_Opl_Ofalse' [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.66/1.06 'c_PropLog_Opl_Oop_A_N_62' [43, 3] (w:1, o:51, a:1, s:1, b:0),
% 0.66/1.06 'c_emptyset' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.66/1.06 'tc_PropLog_Opl' [45, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.66/1.06 'c_insert' [46, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.66/1.06 'c_PropLog_Othms' [47, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.66/1.06 'c_in' [48, 3] (w:1, o:53, a:1, s:1, b:0).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Bliksems!, er is een bewijs:
% 0.66/1.06 % SZS status Unsatisfiable
% 0.66/1.06 % SZS output start Refutation
% 0.66/1.06
% 0.66/1.06 clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'(
% 0.66/1.06 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'(
% 0.66/1.06 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 0.66/1.06 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 1, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) )
% 0.66/1.06 , ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 2, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.66/1.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 7, [] )
% 0.66/1.06 .
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 % SZS output end Refutation
% 0.66/1.06 found a proof!
% 0.66/1.06
% 0.66/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.06
% 0.66/1.06 initialclauses(
% 0.66/1.06 [ clause( 9, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'(
% 0.66/1.06 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'(
% 0.66/1.06 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 0.66/1.06 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.66/1.06 , clause( 10, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 0.66/1.06 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.66/1.06 , clause( 11, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.66/1.06 ] ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'(
% 0.66/1.06 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'(
% 0.66/1.06 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 0.66/1.06 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.66/1.06 , clause( 9, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'(
% 0.66/1.06 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'(
% 0.66/1.06 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 0.66/1.06 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 1, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) )
% 0.66/1.06 , ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.66/1.06 , clause( 10, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 0.66/1.06 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 2, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.66/1.06 , clause( 11, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 12, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.66/1.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.66/1.06 , clause( 1, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z )
% 0.66/1.06 ), ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.66/1.06 , 1, clause( 2, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Y,
% 0.66/1.06 'tc_PropLog_Opl'( Z ) ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ),
% 0.66/1.06 :=( Y, Y ), :=( Z, 'tc_PropLog_Opl'( Z ) )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.66/1.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.66/1.06 , clause( 12, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.66/1.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 13, [ ~( 'c_in'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 0.66/1.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 0.66/1.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ) ) ] )
% 0.66/1.06 , clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'(
% 0.66/1.06 'v_a', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'(
% 0.66/1.06 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a',
% 0.66/1.06 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), ~( 'c_in'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_PropLog_Othms'( 'c_insert'(
% 0.66/1.06 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ), 'c_emptyset', 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.66/1.06 , 0, clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.66/1.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.66/1.06 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 0.66/1.06 'c_PropLog_Opl_Ofalse', 't_a' ) ), :=( Y, 'c_emptyset' ), :=( Z, 't_a' )] )
% 0.66/1.06 ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 15, [] )
% 0.66/1.06 , clause( 13, [ ~( 'c_in'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 0.66/1.06 'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Ovar'( 'v_a', 't_a' ),
% 0.66/1.06 'c_emptyset', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'(
% 0.66/1.06 't_a' ) ) ) ] )
% 0.66/1.06 , 0, clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.66/1.06 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_PropLog_Opl_Ovar'(
% 0.66/1.06 'v_a', 't_a' ) ), :=( Y, 'c_emptyset' ), :=( Z, 't_a' )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 7, [] )
% 0.66/1.06 , clause( 15, [] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 end.
% 0.66/1.06
% 0.66/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.06
% 0.66/1.06 Memory use:
% 0.66/1.06
% 0.66/1.06 space for terms: 269
% 0.66/1.06 space for clauses: 969
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 clauses generated: 8
% 0.66/1.06 clauses kept: 8
% 0.66/1.06 clauses selected: 5
% 0.66/1.06 clauses deleted: 1
% 0.66/1.06 clauses inuse deleted: 0
% 0.66/1.06
% 0.66/1.06 subsentry: 1
% 0.66/1.06 literals s-matched: 0
% 0.66/1.06 literals matched: 0
% 0.66/1.06 full subsumption: 0
% 0.66/1.06
% 0.66/1.06 checksum: 263415181
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Bliksem ended
%------------------------------------------------------------------------------