TSTP Solution File: LCL443-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL443-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 07:53:47 EDT 2022

% Result   : Unsatisfiable 0.75s 1.14s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL443-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Mon Jul  4 20:14:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.75/1.14  *** allocated 10000 integers for termspace/termends
% 0.75/1.14  *** allocated 10000 integers for clauses
% 0.75/1.14  *** allocated 10000 integers for justifications
% 0.75/1.14  Bliksem 1.12
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Automatic Strategy Selection
% 0.75/1.14  
% 0.75/1.14  Clauses:
% 0.75/1.14  [
% 0.75/1.14     [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 
% 0.75/1.14    ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 'c_PropLog_Othms'( Y, Z
% 0.75/1.14     ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ) ],
% 0.75/1.14     [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T
% 0.75/1.14     ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    Y, X, T ), 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ) ],
% 0.75/1.14     [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.75/1.14     [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 
% 0.75/1.14    'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 'tc_PropLog_Opl'( Z ) ), 
% 0.75/1.14    Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 0.75/1.14     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.75/1.14     [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ) ],
% 0.75/1.14     [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 'c_PropLog_Opl_Ofalse', 
% 0.75/1.14    't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ]
% 0.75/1.14    ,
% 0.75/1.14     [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 
% 0.75/1.14    'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ]
% 0.75/1.14  ] .
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  percentage equality = 0.000000, percentage horn = 1.000000
% 0.75/1.14  This is a near-Horn, non-equality  problem
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Options Used:
% 0.75/1.14  
% 0.75/1.14  useres =            1
% 0.75/1.14  useparamod =        0
% 0.75/1.14  useeqrefl =         0
% 0.75/1.14  useeqfact =         0
% 0.75/1.14  usefactor =         1
% 0.75/1.14  usesimpsplitting =  0
% 0.75/1.14  usesimpdemod =      0
% 0.75/1.14  usesimpres =        4
% 0.75/1.14  
% 0.75/1.14  resimpinuse      =  1000
% 0.75/1.14  resimpclauses =     20000
% 0.75/1.14  substype =          standard
% 0.75/1.14  backwardsubs =      1
% 0.75/1.14  selectoldest =      5
% 0.75/1.14  
% 0.75/1.14  litorderings [0] =  split
% 0.75/1.14  litorderings [1] =  liftord
% 0.75/1.14  
% 0.75/1.14  termordering =      none
% 0.75/1.14  
% 0.75/1.14  litapriori =        1
% 0.75/1.14  termapriori =       0
% 0.75/1.14  litaposteriori =    0
% 0.75/1.14  termaposteriori =   0
% 0.75/1.14  demodaposteriori =  0
% 0.75/1.14  ordereqreflfact =   0
% 0.75/1.14  
% 0.75/1.14  litselect =         negative
% 0.75/1.14  
% 0.75/1.14  maxweight =         30000
% 0.75/1.14  maxdepth =          30000
% 0.75/1.14  maxlength =         115
% 0.75/1.14  maxnrvars =         195
% 0.75/1.14  excuselevel =       0
% 0.75/1.14  increasemaxweight = 0
% 0.75/1.14  
% 0.75/1.14  maxselected =       10000000
% 0.75/1.14  maxnrclauses =      10000000
% 0.75/1.14  
% 0.75/1.14  showgenerated =    0
% 0.75/1.14  showkept =         0
% 0.75/1.14  showselected =     0
% 0.75/1.14  showdeleted =      0
% 0.75/1.14  showresimp =       1
% 0.75/1.14  showstatus =       2000
% 0.75/1.14  
% 0.75/1.14  prologoutput =     1
% 0.75/1.14  nrgoals =          5000000
% 0.75/1.14  totalproof =       1
% 0.75/1.14  
% 0.75/1.14  Symbols occurring in the translation:
% 0.75/1.14  
% 0.75/1.14  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.14  .  [1, 2]      (w:1, o:28, a:1, s:1, b:0), 
% 0.75/1.14  !  [4, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.75/1.14  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.14  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.14  'c_PropLog_Othms'  [42, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.75/1.14  'tc_PropLog_Opl'  [43, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.75/1.14  'c_in'  [44, 3]      (w:1, o:54, a:1, s:1, b:0), 
% 0.75/1.14  'c_PropLog_Opl_Oop_A_N_62'  [46, 3]      (w:1, o:55, a:1, s:1, b:0), 
% 0.75/1.14  'c_insert'  [47, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 0.75/1.14  'v_p'  [52, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.75/1.14  'v_H'  [53, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 0.75/1.14  't_a'  [54, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 0.75/1.14  'v_q'  [55, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 0.75/1.14  'c_PropLog_Opl_Ofalse'  [56, 0]      (w:1, o:21, a:1, s:1, b:0).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Starting Search:
% 0.75/1.14  
% 0.75/1.14  Resimplifying inuse:
% 0.75/1.14  Done
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Intermediate Status:
% 0.75/1.14  Generated:    4991
% 0.75/1.14  Kept:         2007
% 0.75/1.14  Inuse:        457
% 0.75/1.14  Deleted:      0
% 0.75/1.14  Deletedinuse: 0
% 0.75/1.14  
% 0.75/1.14  Resimplifying inuse:
% 0.75/1.14  Done
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Bliksems!, er is een bewijs:
% 0.75/1.14  % SZS status Unsatisfiable
% 0.75/1.14  % SZS output start Refutation
% 0.75/1.14  
% 0.75/1.14  clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 
% 0.75/1.14    'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ), 
% 0.75/1.14    'tc_PropLog_Opl'( T ) ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 2, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) )
% 0.75/1.14    , ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 5, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 7, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 0.75/1.14    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.75/1.14     ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 10, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 36, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.75/1.14    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 37, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 40, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 
% 0.75/1.14    'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 222, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 228, [ 'c_in'( Y, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( X, Y, 't_a' ), 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 2300, [ 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  .
% 0.75/1.14  clause( 2302, [] )
% 0.75/1.14  .
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  % SZS output end Refutation
% 0.75/1.14  found a proof!
% 0.75/1.14  
% 0.75/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.14  
% 0.75/1.14  initialclauses(
% 0.75/1.14  [ clause( 2304, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( 
% 0.75/1.14    Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , clause( 2305, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 0.75/1.14    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 0.75/1.14    'tc_PropLog_Opl'( T ) ) ] )
% 0.75/1.14  , clause( 2306, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , clause( 2307, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( 
% 0.75/1.14    Z ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 'tc_PropLog_Opl'( 
% 0.75/1.14    Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , clause( 2308, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.75/1.14  , clause( 2309, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 2310, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 2311, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 0.75/1.14    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.75/1.14     ) ] )
% 0.75/1.14  ] ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  , clause( 2304, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( 
% 0.75/1.14    Z ) ) ), ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.75/1.14    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 
% 0.75/1.14    'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ), 
% 0.75/1.14    'tc_PropLog_Opl'( T ) ) ) ] )
% 0.75/1.14  , clause( 2305, [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 0.75/1.14    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 0.75/1.14    'tc_PropLog_Opl'( T ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.75/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 2, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) )
% 0.75/1.14    , ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  , clause( 2306, [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  , clause( 2307, [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( 
% 0.75/1.14    Z ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 'tc_PropLog_Opl'( 
% 0.75/1.14    Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.75/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.75/1.14  , clause( 2308, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.14    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 5, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 2309, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 2310, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 7, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 0.75/1.14    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.75/1.14     ) ] )
% 0.75/1.14  , clause( 2311, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 0.75/1.14    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.75/1.14     ) ] )
% 0.75/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2312, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , clause( 2, [ 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z )
% 0.75/1.14     ), ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  , 1, clause( 4, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.75/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ) ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ), 
% 0.75/1.14    :=( Y, Y ), :=( Z, 'tc_PropLog_Opl'( Z ) )] )).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 10, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , clause( 2312, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.14    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2313, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.75/1.14    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  , 1, clause( 6, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ) ), :=( Y, 'v_H' ), :=( Z, 't_a' ), :=( T
% 0.75/1.14    , X )] ), substitution( 1, [] )).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 36, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.75/1.14    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 2313, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.75/1.14    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2314, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 3, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  , 1, clause( 5, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , 0, substitution( 0, [ :=( X, 'v_p' ), :=( Y, 'v_H' ), :=( Z, 't_a' ), 
% 0.75/1.14    :=( T, X )] ), substitution( 1, [] )).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 37, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 2314, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2315, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 
% 0.75/1.14    'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 0.75/1.14    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  , 2, clause( 37, [ 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , 0, substitution( 0, [ :=( X, 'v_p' ), :=( Y, 'c_insert'( Y, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ), :=( Z, 't_a' ), :=( T, X )] ), 
% 0.75/1.14    substitution( 1, [ :=( X, Y )] )).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 40, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 
% 0.75/1.14    'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.75/1.14  , clause( 2315, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' )
% 0.75/1.14    , 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 0.75/1.14    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), 'c_in'( X, 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.14     ), ==>( 1, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2316, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 40, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 
% 0.75/1.14    'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.75/1.14  , 1, clause( 10, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 0.75/1.14    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ] )
% 0.75/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'v_p', X, 't_a' ) )] ), substitution( 1, [ :=( X, 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ) ), :=( Y, 'v_H' ), :=( Z, 
% 0.75/1.14    't_a' )] )).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 222, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 2316, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2318, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, 't_a' ), 
% 0.75/1.14    'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 
% 0.75/1.14    't_a' ), 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ) ), 'c_in'( Y, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 0, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( T, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 0.75/1.14  , 2, clause( 222, [ 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ) ), :=( Z, 't_a' ), :=( T, Y )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.14    ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 228, [ 'c_in'( Y, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( X, Y, 't_a' ), 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.75/1.14  , clause( 2318, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, 't_a' ), 
% 0.75/1.14    'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 
% 0.75/1.14    't_a' ), 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ) ), 'c_in'( Y, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.14     ), ==>( 1, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2319, [ 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 228, [ 'c_in'( Y, 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), ~( 'c_in'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( X, Y, 't_a' ), 'c_PropLog_Othms'( 'c_insert'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 0.75/1.14    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 0.75/1.14  , 1, clause( 36, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 0.75/1.14    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 0.75/1.14    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , 0, substitution( 0, [ :=( X, 'v_q' ), :=( Y, 'c_PropLog_Opl_Ofalse' )] )
% 0.75/1.14    , substitution( 1, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 
% 0.75/1.14    't_a' ) )] )).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 2300, [ 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , clause( 2319, [ 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2320, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 0.75/1.14    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.75/1.14     ] )
% 0.75/1.14  , clause( 1, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 
% 0.75/1.14    'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ), ~( 'c_in'( X, 
% 0.75/1.14    'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T ) ), T ), 
% 0.75/1.14    'tc_PropLog_Opl'( T ) ) ) ] )
% 0.75/1.14  , 1, clause( 2300, [ 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 0.75/1.14    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 0.75/1.14    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ] )
% 0.75/1.14  , 0, substitution( 0, [ :=( X, 'c_PropLog_Opl_Ofalse' ), :=( Y, 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ) ), :=( Z, 'v_H' ), :=( 
% 0.75/1.14    T, 't_a' )] ), substitution( 1, [] )).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  resolution(
% 0.75/1.14  clause( 2321, [] )
% 0.75/1.14  , clause( 7, [ ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 0.75/1.14    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.75/1.14     ) ] )
% 0.75/1.14  , 0, clause( 2320, [ 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 0.75/1.14    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 0.75/1.14    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 0.75/1.14     ] )
% 0.75/1.14  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  subsumption(
% 0.75/1.14  clause( 2302, [] )
% 0.75/1.14  , clause( 2321, [] )
% 0.75/1.14  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  end.
% 0.75/1.14  
% 0.75/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.14  
% 0.75/1.14  Memory use:
% 0.75/1.14  
% 0.75/1.14  space for terms:        61131
% 0.75/1.14  space for clauses:      316697
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  clauses generated:      5590
% 0.75/1.14  clauses kept:           2303
% 0.75/1.14  clauses selected:       487
% 0.75/1.14  clauses deleted:        0
% 0.75/1.14  clauses inuse deleted:  0
% 0.75/1.14  
% 0.75/1.14  subsentry:          4682
% 0.75/1.14  literals s-matched: 4098
% 0.75/1.14  literals matched:   4098
% 0.75/1.14  full subsumption:   3
% 0.75/1.14  
% 0.75/1.14  checksum:           1306236166
% 0.75/1.14  
% 0.75/1.14  
% 0.75/1.14  Bliksem ended
%------------------------------------------------------------------------------