TSTP Solution File: LCL446-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL446-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.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 07:53:50 EDT 2022

% Result   : Unsatisfiable 0.43s 1.07s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL446-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n010.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 12:11:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/1.07  *** allocated 10000 integers for termspace/termends
% 0.43/1.07  *** allocated 10000 integers for clauses
% 0.43/1.07  *** allocated 10000 integers for justifications
% 0.43/1.07  Bliksem 1.12
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Automatic Strategy Selection
% 0.43/1.07  
% 0.43/1.07  Clauses:
% 0.43/1.07  [
% 0.43/1.07     [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_p', 't_a' ), 
% 0.43/1.07    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ],
% 0.43/1.07     [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, 
% 0.43/1.07    X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.43/1.07     [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 
% 0.43/1.07    ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 'c_PropLog_Othms'( Y, Z
% 0.43/1.07     ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 
% 0.43/1.07    'tc_PropLog_Opl'( Z ) ) ],
% 0.43/1.07     [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T ), 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 'c_PropLog_Opl_Oop_A_N_62'( X, Z, 
% 0.43/1.07    T ), T ), T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ]
% 0.43/1.07  ] .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  percentage equality = 0.000000, percentage horn = 1.000000
% 0.43/1.07  This is a near-Horn, non-equality  problem
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Options Used:
% 0.43/1.07  
% 0.43/1.07  useres =            1
% 0.43/1.07  useparamod =        0
% 0.43/1.07  useeqrefl =         0
% 0.43/1.07  useeqfact =         0
% 0.43/1.07  usefactor =         1
% 0.43/1.07  usesimpsplitting =  0
% 0.43/1.07  usesimpdemod =      0
% 0.43/1.07  usesimpres =        4
% 0.43/1.07  
% 0.43/1.07  resimpinuse      =  1000
% 0.43/1.07  resimpclauses =     20000
% 0.43/1.07  substype =          standard
% 0.43/1.07  backwardsubs =      1
% 0.43/1.07  selectoldest =      5
% 0.43/1.07  
% 0.43/1.07  litorderings [0] =  split
% 0.43/1.07  litorderings [1] =  liftord
% 0.43/1.07  
% 0.43/1.07  termordering =      none
% 0.43/1.07  
% 0.43/1.07  litapriori =        1
% 0.43/1.07  termapriori =       0
% 0.43/1.07  litaposteriori =    0
% 0.43/1.07  termaposteriori =   0
% 0.43/1.07  demodaposteriori =  0
% 0.43/1.07  ordereqreflfact =   0
% 0.43/1.07  
% 0.43/1.07  litselect =         negative
% 0.43/1.07  
% 0.43/1.07  maxweight =         30000
% 0.43/1.07  maxdepth =          30000
% 0.43/1.07  maxlength =         115
% 0.43/1.07  maxnrvars =         195
% 0.43/1.07  excuselevel =       0
% 0.43/1.07  increasemaxweight = 0
% 0.43/1.07  
% 0.43/1.07  maxselected =       10000000
% 0.43/1.07  maxnrclauses =      10000000
% 0.43/1.07  
% 0.43/1.07  showgenerated =    0
% 0.43/1.07  showkept =         0
% 0.43/1.07  showselected =     0
% 0.43/1.07  showdeleted =      0
% 0.43/1.07  showresimp =       1
% 0.43/1.07  showstatus =       2000
% 0.43/1.07  
% 0.43/1.07  prologoutput =     1
% 0.43/1.07  nrgoals =          5000000
% 0.43/1.07  totalproof =       1
% 0.43/1.07  
% 0.43/1.07  Symbols occurring in the translation:
% 0.43/1.07  
% 0.43/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.07  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 0.43/1.07  !  [4, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.43/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.07  'v_p'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.43/1.07  't_a'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.43/1.07  'c_PropLog_Opl_Oop_A_N_62'  [41, 3]      (w:1, o:49, a:1, s:1, b:0), 
% 0.43/1.07  'v_H'  [42, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.43/1.07  'c_PropLog_Othms'  [43, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.43/1.07  'tc_PropLog_Opl'  [44, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.43/1.07  'c_in'  [45, 3]      (w:1, o:50, a:1, s:1, b:0).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Starting Search:
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksems!, er is een bewijs:
% 0.43/1.07  % SZS status Unsatisfiable
% 0.43/1.07  % SZS output start Refutation
% 0.43/1.07  
% 0.43/1.07  clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_p', 't_a' ), 
% 0.43/1.07    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.43/1.07    'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 3, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T ), 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 'c_PropLog_Opl_Oop_A_N_62'( X, Z, 
% 0.43/1.07    T ), T ), T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 5, [ 'c_in'( T, 'c_PropLog_Othms'( U, Z ), 'tc_PropLog_Opl'( Z ) )
% 0.43/1.07    , ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), T, Z ), 'c_PropLog_Othms'( U
% 0.43/1.07    , Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    X, Y, Z ), 'c_PropLog_Opl_Oop_A_N_62'( X, X, Z ), Z ), 'c_PropLog_Othms'( 
% 0.43/1.07    T, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 11, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, X, Y ), 
% 0.43/1.07    'c_PropLog_Othms'( Z, Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 14, [] )
% 0.43/1.07  .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  % SZS output end Refutation
% 0.43/1.07  found a proof!
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  initialclauses(
% 0.43/1.07  [ clause( 16, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_p', 't_a'
% 0.43/1.07     ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.43/1.07  , clause( 17, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.43/1.07    'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , clause( 18, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( 
% 0.43/1.07    Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , clause( 19, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T )
% 0.43/1.07    , 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Z, T ), T ), T ), 'c_PropLog_Othms'( U, T
% 0.43/1.07     ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.43/1.07  ] ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_p', 't_a' ), 
% 0.43/1.07    'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.43/1.07  , clause( 16, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_p', 't_a'
% 0.43/1.07     ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.43/1.07    'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , clause( 17, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.43/1.07    'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.43/1.07  , clause( 18, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( 
% 0.43/1.07    Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 3, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T ), 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 'c_PropLog_Opl_Oop_A_N_62'( X, Z, 
% 0.43/1.07    T ), T ), T ), 'c_PropLog_Othms'( U, T ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.43/1.07  , clause( 19, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T )
% 0.43/1.07    , 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Z, T ), T ), T ), 'c_PropLog_Othms'( U, T
% 0.43/1.07     ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.07    , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 21, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z )
% 0.43/1.07    , T, Z ), 'c_PropLog_Othms'( U, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T
% 0.43/1.07    , 'c_PropLog_Othms'( U, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , clause( 2, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.43/1.07    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.43/1.07  , 2, clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), 'c_PropLog_Othms'( T, Z ), 
% 0.43/1.07    'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ) ), :=( Y, U ), :=( Z, Z ), 
% 0.43/1.07    :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), 
% 0.43/1.07    :=( T, U )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 5, [ 'c_in'( T, 'c_PropLog_Othms'( U, Z ), 'tc_PropLog_Opl'( Z ) )
% 0.43/1.07    , ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), T, Z ), 'c_PropLog_Othms'( U
% 0.43/1.07    , Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.43/1.07  , clause( 21, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z )
% 0.43/1.07    , T, Z ), 'c_PropLog_Othms'( U, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T
% 0.43/1.07    , 'c_PropLog_Othms'( U, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.07    , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 22, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Oop_A_N_62'( X, X, 
% 0.43/1.07    Z ), Z ), 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , clause( 5, [ 'c_in'( T, 'c_PropLog_Othms'( U, Z ), 'tc_PropLog_Opl'( Z )
% 0.43/1.07     ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X
% 0.43/1.07    , 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), T, Z ), 'c_PropLog_Othms'( 
% 0.43/1.07    U, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.43/1.07  , 1, clause( 3, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, 'c_PropLog_Opl_Oop_A_N_62'( Y, Z, T ), T )
% 0.43/1.07    , 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, T ), 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Z, T ), T ), T ), 'c_PropLog_Othms'( U, T
% 0.43/1.07     ), 'tc_PropLog_Opl'( T ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, X, Z ), Z ) ), :=( U, T )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z ), :=( U
% 0.43/1.07    , T )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    X, Y, Z ), 'c_PropLog_Opl_Oop_A_N_62'( X, X, Z ), Z ), 'c_PropLog_Othms'( 
% 0.43/1.07    T, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , clause( 22, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Oop_A_N_62'( X, X, 
% 0.43/1.07    Z ), Z ), 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 23, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, X, Y ), 
% 0.43/1.07    'c_PropLog_Othms'( Z, Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 0.43/1.07  , clause( 5, [ 'c_in'( T, 'c_PropLog_Othms'( U, Z ), 'tc_PropLog_Opl'( Z )
% 0.43/1.07     ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( X
% 0.43/1.07    , 'c_PropLog_Opl_Oop_A_N_62'( Y, X, Z ), Z ), T, Z ), 'c_PropLog_Othms'( 
% 0.43/1.07    U, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.43/1.07  , 1, clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Oop_A_N_62'( X, X, 
% 0.43/1.07    Z ), Z ), 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, 
% 0.43/1.07    'c_PropLog_Opl_Oop_A_N_62'( X, X, Y ) ), :=( U, Z )] ), substitution( 1
% 0.43/1.07    , [ :=( X, X ), :=( Y, 'c_PropLog_Opl_Oop_A_N_62'( T, X, Y ) ), :=( Z, Y
% 0.43/1.07     ), :=( T, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 11, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, X, Y ), 
% 0.43/1.07    'c_PropLog_Othms'( Z, Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 0.43/1.07  , clause( 23, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, X, Y ), 
% 0.43/1.07    'c_PropLog_Othms'( Z, Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  resolution(
% 0.43/1.07  clause( 24, [] )
% 0.43/1.07  , clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_p', 't_a' )
% 0.43/1.07    , 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.43/1.07  , 0, clause( 11, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, X, Y ), 
% 0.43/1.07    'c_PropLog_Othms'( Z, Y ), 'tc_PropLog_Opl'( Y ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_p' ), :=( Y, 't_a'
% 0.43/1.07     ), :=( Z, 'v_H' )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 14, [] )
% 0.43/1.07  , clause( 24, [] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  end.
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  Memory use:
% 0.43/1.07  
% 0.43/1.07  space for terms:        486
% 0.43/1.07  space for clauses:      2312
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  clauses generated:      17
% 0.43/1.07  clauses kept:           15
% 0.43/1.07  clauses selected:       8
% 0.43/1.07  clauses deleted:        0
% 0.43/1.07  clauses inuse deleted:  0
% 0.43/1.07  
% 0.43/1.07  subsentry:          9
% 0.43/1.07  literals s-matched: 2
% 0.43/1.07  literals matched:   2
% 0.43/1.07  full subsumption:   0
% 0.43/1.07  
% 0.43/1.07  checksum:           -918539419
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksem ended
%------------------------------------------------------------------------------