TSTP Solution File: LCL439-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL439-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:53:43 EDT 2022
% Result : Unsatisfiable 0.69s 1.10s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL439-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n011.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 : Sat Jul 2 20:03:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.10 *** allocated 10000 integers for termspace/termends
% 0.69/1.10 *** allocated 10000 integers for clauses
% 0.69/1.10 *** allocated 10000 integers for justifications
% 0.69/1.10 Bliksem 1.12
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Automatic Strategy Selection
% 0.69/1.10
% 0.69/1.10 Clauses:
% 0.69/1.10 [
% 0.69/1.10 [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T
% 0.69/1.10 ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'(
% 0.69/1.10 Y, X, T ), 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ) ],
% 0.69/1.10 [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.69/1.10 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 0.69/1.10 ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', Z ),
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.69/1.10 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 0.69/1.10 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 'tc_PropLog_Opl'( Z ) ),
% 0.69/1.10 Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.69/1.10 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.69/1.10 [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'c_PropLog_Opl_Ofalse',
% 0.69/1.10 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ]
% 0.69/1.10 ,
% 0.69/1.10 [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ),
% 0.69/1.10 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ]
% 0.69/1.10 ] .
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 percentage equality = 0.000000, percentage horn = 1.000000
% 0.69/1.10 This is a near-Horn, non-equality problem
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Options Used:
% 0.69/1.10
% 0.69/1.10 useres = 1
% 0.69/1.10 useparamod = 0
% 0.69/1.10 useeqrefl = 0
% 0.69/1.10 useeqfact = 0
% 0.69/1.10 usefactor = 1
% 0.69/1.10 usesimpsplitting = 0
% 0.69/1.10 usesimpdemod = 0
% 0.69/1.10 usesimpres = 4
% 0.69/1.10
% 0.69/1.10 resimpinuse = 1000
% 0.69/1.10 resimpclauses = 20000
% 0.69/1.10 substype = standard
% 0.69/1.10 backwardsubs = 1
% 0.69/1.10 selectoldest = 5
% 0.69/1.10
% 0.69/1.10 litorderings [0] = split
% 0.69/1.10 litorderings [1] = liftord
% 0.69/1.10
% 0.69/1.10 termordering = none
% 0.69/1.10
% 0.69/1.10 litapriori = 1
% 0.69/1.10 termapriori = 0
% 0.69/1.10 litaposteriori = 0
% 0.69/1.10 termaposteriori = 0
% 0.69/1.10 demodaposteriori = 0
% 0.69/1.10 ordereqreflfact = 0
% 0.69/1.10
% 0.69/1.10 litselect = negative
% 0.69/1.10
% 0.69/1.10 maxweight = 30000
% 0.69/1.10 maxdepth = 30000
% 0.69/1.10 maxlength = 115
% 0.69/1.10 maxnrvars = 195
% 0.69/1.10 excuselevel = 0
% 0.69/1.10 increasemaxweight = 0
% 0.69/1.10
% 0.69/1.10 maxselected = 10000000
% 0.69/1.10 maxnrclauses = 10000000
% 0.69/1.10
% 0.69/1.10 showgenerated = 0
% 0.69/1.10 showkept = 0
% 0.69/1.10 showselected = 0
% 0.69/1.10 showdeleted = 0
% 0.69/1.10 showresimp = 1
% 0.69/1.10 showstatus = 2000
% 0.69/1.10
% 0.69/1.10 prologoutput = 1
% 0.69/1.10 nrgoals = 5000000
% 0.69/1.10 totalproof = 1
% 0.69/1.10
% 0.69/1.10 Symbols occurring in the translation:
% 0.69/1.10
% 0.69/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.10 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.69/1.10 ! [4, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 'tc_PropLog_Opl' [43, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.69/1.10 'c_insert' [44, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.69/1.10 'c_PropLog_Othms' [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.69/1.10 'c_in' [46, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.69/1.10 'c_PropLog_Opl_Oop_A_N_62' [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.69/1.10 'c_PropLog_Opl_Ofalse' [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.69/1.10 'v_p' [53, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.10 't_a' [54, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.10 'v_H' [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.10 'v_q' [56, 0] (w:1, o:21, a:1, s:1, b:0).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Starting Search:
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Bliksems!, er is een bewijs:
% 0.69/1.10 % SZS status Unsatisfiable
% 0.69/1.10 % SZS output start Refutation
% 0.69/1.10
% 0.69/1.10 clause( 0, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ),
% 0.69/1.10 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ),
% 0.69/1.10 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 1, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) )
% 0.69/1.10 , ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.69/1.10 'c_PropLog_Opl_Ofalse', Z ), 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ),
% 0.69/1.10 ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 5, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 6, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ),
% 0.69/1.10 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 8, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 19, [ 'c_in'( T, 'c_PropLog_Othms'( 'c_insert'( X, Z,
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ), Y ), 'tc_PropLog_Opl'( Y ) ), ~( 'c_in'(
% 0.69/1.10 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', Y ),
% 0.69/1.10 'c_PropLog_Othms'( 'c_insert'( X, Z, 'tc_PropLog_Opl'( Y ) ), Y ),
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 35, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.69/1.10 , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 102, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 'v_p', 'v_H',
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 104, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ),
% 0.69/1.10 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 .
% 0.69/1.10 clause( 108, [] )
% 0.69/1.10 .
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 % SZS output end Refutation
% 0.69/1.10 found a proof!
% 0.69/1.10
% 0.69/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.10
% 0.69/1.10 initialclauses(
% 0.69/1.10 [ clause( 110, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z,
% 0.69/1.10 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'(
% 0.69/1.10 'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ),
% 0.69/1.10 'tc_PropLog_Opl'( T ) ) ] )
% 0.69/1.10 , clause( 111, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , clause( 112, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse'
% 0.69/1.10 , Z ), 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , clause( 113, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , clause( 114, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.69/1.10 , clause( 115, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , clause( 116, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a'
% 0.69/1.10 ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.69/1.10 ] ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 0, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ),
% 0.69/1.10 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ),
% 0.69/1.10 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.69/1.10 , clause( 110, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z,
% 0.69/1.10 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'(
% 0.69/1.10 'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ),
% 0.69/1.10 'tc_PropLog_Opl'( T ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 1, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) )
% 0.69/1.10 , ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 , clause( 111, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.69/1.10 'c_PropLog_Opl_Ofalse', Z ), 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ),
% 0.69/1.10 ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 , clause( 112, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse'
% 0.69/1.10 , Z ), 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 , clause( 113, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.69/1.10 , clause( 114, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 5, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , clause( 115, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 6, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ),
% 0.69/1.10 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.69/1.10 , clause( 116, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a'
% 0.69/1.10 ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 117, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , clause( 1, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z )
% 0.69/1.10 ), ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 , 1, clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.10 :=( Y, Y ), :=( Z, 'tc_PropLog_Opl'( Z ) )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 8, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , clause( 117, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 119, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.69/1.10 'c_PropLog_Opl_Ofalse', Y ), 'c_PropLog_Othms'( 'c_insert'( X, Z,
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ), Y ), 'tc_PropLog_Opl'( Y ) ) ), 'c_in'( T,
% 0.69/1.10 'c_PropLog_Othms'( 'c_insert'( X, Z, 'tc_PropLog_Opl'( Y ) ), Y ),
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ) ] )
% 0.69/1.10 , clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.69/1.10 'c_PropLog_Opl_Ofalse', Z ), 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'(
% 0.69/1.10 Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ),
% 0.69/1.10 ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 , 2, clause( 8, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Z,
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ) ), :=( Z, Y ), :=( T, T )] ), substitution( 1, [
% 0.69/1.10 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 19, [ 'c_in'( T, 'c_PropLog_Othms'( 'c_insert'( X, Z,
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ), Y ), 'tc_PropLog_Opl'( Y ) ), ~( 'c_in'(
% 0.69/1.10 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', Y ),
% 0.69/1.10 'c_PropLog_Othms'( 'c_insert'( X, Z, 'tc_PropLog_Opl'( Y ) ), Y ),
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ) ) ] )
% 0.69/1.10 , clause( 119, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X,
% 0.69/1.10 'c_PropLog_Opl_Ofalse', Y ), 'c_PropLog_Othms'( 'c_insert'( X, Z,
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ), Y ), 'tc_PropLog_Opl'( Y ) ) ), 'c_in'( T,
% 0.69/1.10 'c_PropLog_Othms'( 'c_insert'( X, Z, 'tc_PropLog_Opl'( Y ) ), Y ),
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.10 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 120, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.69/1.10 , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y,
% 0.69/1.10 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.69/1.10 , 1, clause( 5, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ),
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ) ), :=( Y, 'v_H' ), :=( Z, 't_a' ), :=( T
% 0.69/1.10 , X )] ), substitution( 1, [] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 35, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.69/1.10 , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , clause( 120, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.69/1.10 , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 121, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 'v_p', 'v_H',
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , clause( 19, [ 'c_in'( T, 'c_PropLog_Othms'( 'c_insert'( X, Z,
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ), Y ), 'tc_PropLog_Opl'( Y ) ), ~( 'c_in'(
% 0.69/1.10 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Ofalse', Y ),
% 0.69/1.10 'c_PropLog_Othms'( 'c_insert'( X, Z, 'tc_PropLog_Opl'( Y ) ), Y ),
% 0.69/1.10 'tc_PropLog_Opl'( Y ) ) ) ] )
% 0.69/1.10 , 1, clause( 35, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p',
% 0.69/1.10 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.69/1.10 , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, 'v_p' ), :=( Y, 't_a' ), :=( Z, 'v_H' ),
% 0.69/1.10 :=( T, X )] ), substitution( 1, [ :=( X, 'v_p' )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 102, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 'v_p', 'v_H',
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , clause( 121, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 'v_p', 'v_H',
% 0.69/1.10 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 122, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ),
% 0.69/1.10 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , clause( 0, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ),
% 0.69/1.10 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X,
% 0.69/1.10 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ),
% 0.69/1.10 'tc_PropLog_Opl'( T ) ) ) ] )
% 0.69/1.10 , 1, clause( 102, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 'v_p', 'v_H'
% 0.69/1.10 , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_p' ), :=( Z, 'v_H' ), :=( T,
% 0.69/1.10 't_a' )] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 104, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ),
% 0.69/1.10 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , clause( 122, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ),
% 0.69/1.10 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 resolution(
% 0.69/1.10 clause( 123, [] )
% 0.69/1.10 , clause( 6, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' )
% 0.69/1.10 , 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.69/1.10 , 0, clause( 104, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ),
% 0.69/1.10 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.69/1.10 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_q' )] )).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 subsumption(
% 0.69/1.10 clause( 108, [] )
% 0.69/1.10 , clause( 123, [] )
% 0.69/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 end.
% 0.69/1.10
% 0.69/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.10
% 0.69/1.10 Memory use:
% 0.69/1.10
% 0.69/1.10 space for terms: 2311
% 0.69/1.10 space for clauses: 11842
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 clauses generated: 163
% 0.69/1.10 clauses kept: 109
% 0.69/1.10 clauses selected: 43
% 0.69/1.10 clauses deleted: 0
% 0.69/1.10 clauses inuse deleted: 0
% 0.69/1.10
% 0.69/1.10 subsentry: 127
% 0.69/1.10 literals s-matched: 96
% 0.69/1.10 literals matched: 96
% 0.69/1.10 full subsumption: 2
% 0.69/1.10
% 0.69/1.10 checksum: 1736526644
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Bliksem ended
%------------------------------------------------------------------------------