TSTP Solution File: LCL447-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL447-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:53:51 EDT 2022
% Result : Unsatisfiable 0.65s 1.04s
% Output : Refutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL447-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.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 08:17:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.65/1.04 *** allocated 10000 integers for termspace/termends
% 0.65/1.04 *** allocated 10000 integers for clauses
% 0.65/1.04 *** allocated 10000 integers for justifications
% 0.65/1.04 Bliksem 1.12
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Automatic Strategy Selection
% 0.65/1.04
% 0.65/1.04 Clauses:
% 0.65/1.04 [
% 0.65/1.04 [ 'c_in'( 'v_q', 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'(
% 0.65/1.04 't_a' ) ) ],
% 0.65/1.04 [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ],
% 0.65/1.04 [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y,
% 0.65/1.04 X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.65/1.04 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 0.65/1.04 ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 'c_PropLog_Othms'( Y, Z
% 0.65/1.04 ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ),
% 0.65/1.04 'tc_PropLog_Opl'( Z ) ) ]
% 0.65/1.04 ] .
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 percentage equality = 0.000000, percentage horn = 1.000000
% 0.65/1.04 This is a near-Horn, non-equality problem
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Options Used:
% 0.65/1.04
% 0.65/1.04 useres = 1
% 0.65/1.04 useparamod = 0
% 0.65/1.04 useeqrefl = 0
% 0.65/1.04 useeqfact = 0
% 0.65/1.04 usefactor = 1
% 0.65/1.04 usesimpsplitting = 0
% 0.65/1.04 usesimpdemod = 0
% 0.65/1.04 usesimpres = 4
% 0.65/1.04
% 0.65/1.04 resimpinuse = 1000
% 0.65/1.04 resimpclauses = 20000
% 0.65/1.04 substype = standard
% 0.65/1.04 backwardsubs = 1
% 0.65/1.04 selectoldest = 5
% 0.65/1.04
% 0.65/1.04 litorderings [0] = split
% 0.65/1.04 litorderings [1] = liftord
% 0.65/1.04
% 0.65/1.04 termordering = none
% 0.65/1.04
% 0.65/1.04 litapriori = 1
% 0.65/1.04 termapriori = 0
% 0.65/1.04 litaposteriori = 0
% 0.65/1.04 termaposteriori = 0
% 0.65/1.04 demodaposteriori = 0
% 0.65/1.04 ordereqreflfact = 0
% 0.65/1.04
% 0.65/1.04 litselect = negative
% 0.65/1.04
% 0.65/1.04 maxweight = 30000
% 0.65/1.04 maxdepth = 30000
% 0.65/1.04 maxlength = 115
% 0.65/1.04 maxnrvars = 195
% 0.65/1.04 excuselevel = 0
% 0.65/1.04 increasemaxweight = 0
% 0.65/1.04
% 0.65/1.04 maxselected = 10000000
% 0.65/1.04 maxnrclauses = 10000000
% 0.65/1.04
% 0.65/1.04 showgenerated = 0
% 0.65/1.04 showkept = 0
% 0.65/1.04 showselected = 0
% 0.65/1.04 showdeleted = 0
% 0.65/1.04 showresimp = 1
% 0.65/1.04 showstatus = 2000
% 0.65/1.04
% 0.65/1.04 prologoutput = 1
% 0.65/1.04 nrgoals = 5000000
% 0.65/1.04 totalproof = 1
% 0.65/1.04
% 0.65/1.04 Symbols occurring in the translation:
% 0.65/1.04
% 0.65/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.65/1.04 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.65/1.04 ! [4, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.65/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.04 'v_q' [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.65/1.04 'v_H' [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.65/1.04 't_a' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.65/1.04 'c_PropLog_Othms' [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.65/1.04 'tc_PropLog_Opl' [43, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.65/1.04 'c_in' [44, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.65/1.04 'v_p' [45, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.65/1.04 'c_PropLog_Opl_Oop_A_N_62' [46, 3] (w:1, o:50, a:1, s:1, b:0).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Starting Search:
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Bliksems!, er is een bewijs:
% 0.65/1.04 % SZS status Unsatisfiable
% 0.65/1.04 % SZS output start Refutation
% 0.65/1.04
% 0.65/1.04 clause( 0, [ 'c_in'( 'v_q', 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.65/1.04 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 1, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 2, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.65/1.04 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ),
% 0.65/1.04 'tc_PropLog_Opl'( Z ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 3, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ),
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T,
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X,
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 5, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'(
% 0.65/1.04 't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', X, 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'v_q', 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 9, [] )
% 0.65/1.04 .
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 % SZS output end Refutation
% 0.65/1.04 found a proof!
% 0.65/1.04
% 0.65/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.04
% 0.65/1.04 initialclauses(
% 0.65/1.04 [ clause( 11, [ 'c_in'( 'v_q', 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.65/1.04 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , clause( 12, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a'
% 0.65/1.04 ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.65/1.04 , clause( 13, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.65/1.04 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ),
% 0.65/1.04 'tc_PropLog_Opl'( Z ) ) ] )
% 0.65/1.04 , clause( 14, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.65/1.04 Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ),
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T,
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.65/1.04 ] ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 0, [ 'c_in'( 'v_q', 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.65/1.04 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , clause( 11, [ 'c_in'( 'v_q', 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.65/1.04 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 1, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.65/1.04 , clause( 12, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a'
% 0.65/1.04 ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.65/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 2, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.65/1.04 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ),
% 0.65/1.04 'tc_PropLog_Opl'( Z ) ) ] )
% 0.65/1.04 , clause( 13, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.65/1.04 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ),
% 0.65/1.04 'tc_PropLog_Opl'( Z ) ) ] )
% 0.65/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.65/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 3, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ),
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T,
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X,
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.65/1.04 , clause( 14, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.65/1.04 Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ),
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T,
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.65/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.65/1.04 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 resolution(
% 0.65/1.04 clause( 15, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', X, 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'(
% 0.65/1.04 X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , clause( 3, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ),
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T,
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X,
% 0.65/1.04 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.65/1.04 , 2, clause( 0, [ 'c_in'( 'v_q', 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.65/1.04 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , 0, substitution( 0, [ :=( X, 'v_q' ), :=( Y, 'v_H' ), :=( Z, 't_a' ),
% 0.65/1.04 :=( T, X )] ), substitution( 1, [] )).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 5, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'(
% 0.65/1.04 't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', X, 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.65/1.04 , clause( 15, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', X, 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'(
% 0.65/1.04 X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.65/1.04 0 )] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 resolution(
% 0.65/1.04 clause( 16, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'v_q', 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , clause( 5, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.65/1.04 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q'
% 0.65/1.04 , X, 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a'
% 0.65/1.04 ) ) ) ] )
% 0.65/1.04 , 1, clause( 2, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.65/1.04 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ),
% 0.65/1.04 'tc_PropLog_Opl'( Z ) ) ] )
% 0.65/1.04 , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( X, 'v_q', 't_a'
% 0.65/1.04 ) )] ), substitution( 1, [ :=( X, 'v_q' ), :=( Y, X ), :=( Z, 't_a' ),
% 0.65/1.04 :=( T, 'v_H' )] )).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'v_q', 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , clause( 16, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'v_q', 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 resolution(
% 0.65/1.04 clause( 17, [] )
% 0.65/1.04 , clause( 1, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' )
% 0.65/1.04 , 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.65/1.04 , 0, clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'v_q', 't_a' ),
% 0.65/1.04 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.65/1.04 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_p' )] )).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 9, [] )
% 0.65/1.04 , clause( 17, [] )
% 0.65/1.04 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 end.
% 0.65/1.04
% 0.65/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.04
% 0.65/1.04 Memory use:
% 0.65/1.04
% 0.65/1.04 space for terms: 287
% 0.65/1.04 space for clauses: 1082
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 clauses generated: 12
% 0.65/1.04 clauses kept: 10
% 0.65/1.04 clauses selected: 7
% 0.65/1.04 clauses deleted: 0
% 0.65/1.04 clauses inuse deleted: 0
% 0.65/1.04
% 0.65/1.04 subsentry: 7
% 0.65/1.04 literals s-matched: 2
% 0.65/1.04 literals matched: 2
% 0.65/1.04 full subsumption: 0
% 0.65/1.04
% 0.65/1.04 checksum: -1211764863
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Bliksem ended
%------------------------------------------------------------------------------