TSTP Solution File: LCL438-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL438-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n008.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 07:53:42 EDT 2022

% Result   : Unsatisfiable 0.71s 1.11s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL438-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : bliksem %s
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Sat Jul  2 16:04:53 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.71/1.11  *** allocated 10000 integers for termspace/termends
% 0.71/1.11  *** allocated 10000 integers for clauses
% 0.71/1.11  *** allocated 10000 integers for justifications
% 0.71/1.11  Bliksem 1.12
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Automatic Strategy Selection
% 0.71/1.11  
% 0.71/1.11  Clauses:
% 0.71/1.11  [
% 0.71/1.11     [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.11    'v_pa', 'v_q', 't_a' ), 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.71/1.11    'tc_PropLog_Opl'( 't_a' ) ) ],
% 0.71/1.11     [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ],
% 0.71/1.11     [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ],
% 0.71/1.11     [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 
% 0.71/1.11    ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 'c_PropLog_Othms'( Y, Z
% 0.71/1.11     ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 
% 0.71/1.11    'tc_PropLog_Opl'( Z ) ) ],
% 0.71/1.11     [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T ), 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 'c_PropLog_Opl_Oop_A_N_62'( X, Z, 
% 0.71/1.11    T ), T ), T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ]
% 0.71/1.11  ] .
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  percentage equality = 0.000000, percentage horn = 1.000000
% 0.71/1.11  This is a near-Horn, non-equality  problem
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Options Used:
% 0.71/1.11  
% 0.71/1.11  useres =            1
% 0.71/1.11  useparamod =        0
% 0.71/1.11  useeqrefl =         0
% 0.71/1.11  useeqfact =         0
% 0.71/1.11  usefactor =         1
% 0.71/1.11  usesimpsplitting =  0
% 0.71/1.11  usesimpdemod =      0
% 0.71/1.11  usesimpres =        4
% 0.71/1.11  
% 0.71/1.11  resimpinuse      =  1000
% 0.71/1.11  resimpclauses =     20000
% 0.71/1.11  substype =          standard
% 0.71/1.11  backwardsubs =      1
% 0.71/1.11  selectoldest =      5
% 0.71/1.11  
% 0.71/1.11  litorderings [0] =  split
% 0.71/1.11  litorderings [1] =  liftord
% 0.71/1.11  
% 0.71/1.11  termordering =      none
% 0.71/1.11  
% 0.71/1.11  litapriori =        1
% 0.71/1.11  termapriori =       0
% 0.71/1.11  litaposteriori =    0
% 0.71/1.11  termaposteriori =   0
% 0.71/1.11  demodaposteriori =  0
% 0.71/1.11  ordereqreflfact =   0
% 0.71/1.11  
% 0.71/1.11  litselect =         negative
% 0.71/1.11  
% 0.71/1.11  maxweight =         30000
% 0.71/1.11  maxdepth =          30000
% 0.71/1.11  maxlength =         115
% 0.71/1.11  maxnrvars =         195
% 0.71/1.11  excuselevel =       0
% 0.71/1.11  increasemaxweight = 0
% 0.71/1.11  
% 0.71/1.11  maxselected =       10000000
% 0.71/1.11  maxnrclauses =      10000000
% 0.71/1.11  
% 0.71/1.11  showgenerated =    0
% 0.71/1.11  showkept =         0
% 0.71/1.11  showselected =     0
% 0.71/1.11  showdeleted =      0
% 0.71/1.11  showresimp =       1
% 0.71/1.11  showstatus =       2000
% 0.71/1.11  
% 0.71/1.11  prologoutput =     1
% 0.71/1.11  nrgoals =          5000000
% 0.71/1.11  totalproof =       1
% 0.71/1.11  
% 0.71/1.11  Symbols occurring in the translation:
% 0.71/1.11  
% 0.71/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.11  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 0.71/1.11  !  [4, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.71/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  'v_p'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.71/1.11  'v_pa'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.71/1.11  'v_q'  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.71/1.11  't_a'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.71/1.11  'c_PropLog_Opl_Oop_A_N_62'  [43, 3]      (w:1, o:51, a:1, s:1, b:0), 
% 0.71/1.11  'v_H'  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.71/1.11  'c_PropLog_Othms'  [45, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.71/1.11  'tc_PropLog_Opl'  [46, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.71/1.11  'c_in'  [47, 3]      (w:1, o:52, a:1, s:1, b:0).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Starting Search:
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Bliksems!, er is een bewijs:
% 0.71/1.11  % SZS status Unsatisfiable
% 0.71/1.11  % SZS output start Refutation
% 0.71/1.11  
% 0.71/1.11  clause( 0, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'v_q', 't_a' ), 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 3, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.71/1.11    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.71/1.11    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.71/1.11    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 4, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.11    X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T ), 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 'c_PropLog_Opl_Oop_A_N_62'( X, Z, 
% 0.71/1.11    T ), T ), T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 6, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 
% 0.71/1.11    't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 
% 0.71/1.11    'v_q', 't_a' ), 't_a' ), X, 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.71/1.11    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 7, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 
% 0.71/1.11    't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), X, 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 9, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.11    'v_p', 'v_pa', 't_a' ), 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' )
% 0.71/1.11    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.71/1.11     ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 10, [] )
% 0.71/1.11  .
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  % SZS output end Refutation
% 0.71/1.11  found a proof!
% 0.71/1.11  
% 0.71/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11  
% 0.71/1.11  initialclauses(
% 0.71/1.11  [ clause( 12, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'v_q', 't_a' ), 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.11  , clause( 13, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' )
% 0.71/1.11    , 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.11  , clause( 14, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a'
% 0.71/1.11     ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.11  , clause( 15, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( 
% 0.71/1.11    Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.71/1.11    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.71/1.11    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.71/1.11  , clause( 16, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T )
% 0.71/1.11    , 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( X, Z, T ), T ), T ), 'c_PropLog_Othms'( U, T
% 0.71/1.11     ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.71/1.11  ] ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 0, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'v_q', 't_a' ), 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.11  , clause( 12, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.71/1.11    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'v_q', 't_a' ), 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.11  , clause( 13, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' )
% 0.71/1.11    , 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 
% 0.71/1.11    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.12  , clause( 14, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a'
% 0.71/1.12     ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  subsumption(
% 0.71/1.12  clause( 3, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.71/1.12  , clause( 15, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( 
% 0.71/1.12    Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.71/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.71/1.12    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  subsumption(
% 0.71/1.12  clause( 4, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T ), 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 'c_PropLog_Opl_Oop_A_N_62'( X, Z, 
% 0.71/1.12    T ), T ), T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.71/1.12  , clause( 16, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T )
% 0.71/1.12    , 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( X, Z, T ), T ), T ), 'c_PropLog_Othms'( U, T
% 0.71/1.12     ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.71/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.12    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  resolution(
% 0.71/1.12  clause( 18, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 
% 0.71/1.12    'v_q', 't_a' ), 't_a' ), X, 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.71/1.12    'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a'
% 0.71/1.12     ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , clause( 3, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.71/1.12  , 2, clause( 0, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'v_q', 't_a' ), 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 'v_q', 't_a' ), 't_a' ) ), :=( Y, 
% 0.71/1.12    'v_H' ), :=( Z, 't_a' ), :=( T, X )] ), substitution( 1, [] )).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  subsumption(
% 0.71/1.12  clause( 6, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 
% 0.71/1.12    't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 
% 0.71/1.12    'v_q', 't_a' ), 't_a' ), X, 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.71/1.12    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.12  , clause( 18, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 
% 0.71/1.12    'v_q', 't_a' ), 't_a' ), X, 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.71/1.12    'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a'
% 0.71/1.12     ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.12    0 )] ) ).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  resolution(
% 0.71/1.12  clause( 20, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), X, 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'( 
% 0.71/1.12    X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , clause( 3, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.71/1.12    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.71/1.12  , 2, clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a'
% 0.71/1.12     ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 
% 0.71/1.12    't_a' ) ), :=( Y, 'v_H' ), :=( Z, 't_a' ), :=( T, X )] ), substitution( 1
% 0.71/1.12    , [] )).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  subsumption(
% 0.71/1.12  clause( 7, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 
% 0.71/1.12    't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), X, 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.12  , clause( 20, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), X, 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'( 
% 0.71/1.12    X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.71/1.12    0 )] ) ).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  resolution(
% 0.71/1.12  clause( 21, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , clause( 6, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.71/1.12    'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'c_PropLog_Opl_Oop_A_N_62'( 'v_pa', 
% 0.71/1.12    'v_q', 't_a' ), 't_a' ), X, 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.71/1.12    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.12  , 1, clause( 4, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T )
% 0.71/1.12    , 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( X, Z, T ), T ), T ), 'c_PropLog_Othms'( U, T
% 0.71/1.12     ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.71/1.12  , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 't_a' ) )] ), 
% 0.71/1.12    substitution( 1, [ :=( X, 'v_p' ), :=( Y, 'v_pa' ), :=( Z, 'v_q' ), :=( T
% 0.71/1.12    , 't_a' ), :=( U, 'v_H' )] )).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  subsumption(
% 0.71/1.12  clause( 9, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'v_p', 'v_pa', 't_a' ), 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' )
% 0.71/1.12    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.71/1.12     ] )
% 0.71/1.12  , clause( 21, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  resolution(
% 0.71/1.12  clause( 22, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , clause( 7, [ 'c_in'( X, 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.71/1.12    'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), X, 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.12  , 1, clause( 9, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_pa', 't_a' ), 
% 0.71/1.12    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 't_a' ), 
% 0.71/1.12    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 
% 0.71/1.12    't_a' ) )] ), substitution( 1, [] )).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  resolution(
% 0.71/1.12  clause( 23, [] )
% 0.71/1.12  , clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' )
% 0.71/1.12    , 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.71/1.12  , 0, clause( 22, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a'
% 0.71/1.12     ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.71/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  subsumption(
% 0.71/1.12  clause( 10, [] )
% 0.71/1.12  , clause( 23, [] )
% 0.71/1.12  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  end.
% 0.71/1.12  
% 0.71/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12  
% 0.71/1.12  Memory use:
% 0.71/1.12  
% 0.71/1.12  space for terms:        417
% 0.71/1.12  space for clauses:      1657
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  clauses generated:      11
% 0.71/1.12  clauses kept:           11
% 0.71/1.12  clauses selected:       9
% 0.71/1.12  clauses deleted:        0
% 0.71/1.12  clauses inuse deleted:  0
% 0.71/1.12  
% 0.71/1.12  subsentry:          8
% 0.71/1.12  literals s-matched: 0
% 0.71/1.12  literals matched:   0
% 0.71/1.12  full subsumption:   0
% 0.71/1.12  
% 0.71/1.12  checksum:           802211190
% 0.71/1.12  
% 0.71/1.12  
% 0.71/1.12  Bliksem ended
%------------------------------------------------------------------------------