TSTP Solution File: LCL443-10 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 07:53:46 EDT 2022

% Result   : Unsatisfiable 3.06s 3.44s
% Output   : Refutation 3.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n025.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 : Sat Jul  2 22:07:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.06/3.44  *** allocated 10000 integers for termspace/termends
% 3.06/3.44  *** allocated 10000 integers for clauses
% 3.06/3.44  *** allocated 10000 integers for justifications
% 3.06/3.44  Bliksem 1.12
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  Automatic Strategy Selection
% 3.06/3.44  
% 3.06/3.44  Clauses:
% 3.06/3.44  [
% 3.06/3.44     [ =( ifeq( X, X, Y, Z ), Y ) ],
% 3.06/3.44     [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( X
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ), true
% 3.06/3.44     ) ],
% 3.06/3.44     [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), true ), true ) ],
% 3.06/3.44     [ =( ifeq( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ) ],
% 3.06/3.44     [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) )
% 3.06/3.44    , true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( T, Y, 'tc_PropLog_Opl'( 
% 3.06/3.44    Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ) ],
% 3.06/3.44     [ =( 'c_in'( X, 'c_insert'( X, Y, Z ), Z ), true ) ],
% 3.06/3.44     [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), true ) ],
% 3.06/3.44     [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 'c_PropLog_Opl_Ofalse', 
% 3.06/3.44    't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    true ) ],
% 3.06/3.44     [ ~( =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 
% 3.06/3.44    'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ]
% 3.06/3.44  ] .
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  percentage equality = 1.000000, percentage horn = 1.000000
% 3.06/3.44  This is a pure equality problem
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  Options Used:
% 3.06/3.44  
% 3.06/3.44  useres =            1
% 3.06/3.44  useparamod =        1
% 3.06/3.44  useeqrefl =         1
% 3.06/3.44  useeqfact =         1
% 3.06/3.44  usefactor =         1
% 3.06/3.44  usesimpsplitting =  0
% 3.06/3.44  usesimpdemod =      5
% 3.06/3.44  usesimpres =        3
% 3.06/3.44  
% 3.06/3.44  resimpinuse      =  1000
% 3.06/3.44  resimpclauses =     20000
% 3.06/3.44  substype =          eqrewr
% 3.06/3.44  backwardsubs =      1
% 3.06/3.44  selectoldest =      5
% 3.06/3.44  
% 3.06/3.44  litorderings [0] =  split
% 3.06/3.44  litorderings [1] =  extend the termordering, first sorting on arguments
% 3.06/3.44  
% 3.06/3.44  termordering =      kbo
% 3.06/3.44  
% 3.06/3.44  litapriori =        0
% 3.06/3.44  termapriori =       1
% 3.06/3.44  litaposteriori =    0
% 3.06/3.44  termaposteriori =   0
% 3.06/3.44  demodaposteriori =  0
% 3.06/3.44  ordereqreflfact =   0
% 3.06/3.44  
% 3.06/3.44  litselect =         negord
% 3.06/3.44  
% 3.06/3.44  maxweight =         15
% 3.06/3.44  maxdepth =          30000
% 3.06/3.44  maxlength =         115
% 3.06/3.44  maxnrvars =         195
% 3.06/3.44  excuselevel =       1
% 3.06/3.44  increasemaxweight = 1
% 3.06/3.44  
% 3.06/3.44  maxselected =       10000000
% 3.06/3.44  maxnrclauses =      10000000
% 3.06/3.44  
% 3.06/3.44  showgenerated =    0
% 3.06/3.44  showkept =         0
% 3.06/3.44  showselected =     0
% 3.06/3.44  showdeleted =      0
% 3.06/3.44  showresimp =       1
% 3.06/3.44  showstatus =       2000
% 3.06/3.44  
% 3.06/3.44  prologoutput =     1
% 3.06/3.44  nrgoals =          5000000
% 3.06/3.44  totalproof =       1
% 3.06/3.44  
% 3.06/3.44  Symbols occurring in the translation:
% 3.06/3.44  
% 3.06/3.44  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 3.06/3.44  .  [1, 2]      (w:1, o:32, a:1, s:1, b:0), 
% 3.06/3.44  !  [4, 1]      (w:0, o:26, a:1, s:1, b:0), 
% 3.06/3.44  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 3.06/3.44  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 3.06/3.44  ifeq  [42, 4]      (w:1, o:61, a:1, s:1, b:0), 
% 3.06/3.44  'c_PropLog_Opl_Oop_A_N_62'  [46, 3]      (w:1, o:58, a:1, s:1, b:0), 
% 3.06/3.44  'c_PropLog_Othms'  [48, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 3.06/3.44  'tc_PropLog_Opl'  [49, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 3.06/3.44  'c_in'  [50, 3]      (w:1, o:59, a:1, s:1, b:0), 
% 3.06/3.44  true  [51, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 3.06/3.44  'c_insert'  [52, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 3.06/3.44  'v_p'  [57, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 3.06/3.44  'v_H'  [58, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 3.06/3.44  't_a'  [59, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 3.06/3.44  'v_q'  [60, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 3.06/3.44  'c_PropLog_Opl_Ofalse'  [61, 0]      (w:1, o:25, a:1, s:1, b:0).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   15
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 270
% 3.06/3.44  Kept: 36
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 16
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   16
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 329
% 3.06/3.44  Kept: 40
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 17
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   17
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 556
% 3.06/3.44  Kept: 56
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 18
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   18
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 757
% 3.06/3.44  Kept: 68
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 19
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   19
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 1198
% 3.06/3.44  Kept: 89
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 20
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   20
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 1723
% 3.06/3.44  Kept: 112
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 21
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   21
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 2545
% 3.06/3.44  Kept: 147
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 22
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   22
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 3597
% 3.06/3.44  Kept: 180
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 23
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   23
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 5197
% 3.06/3.44  Kept: 239
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 24
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   24
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 7074
% 3.06/3.44  Kept: 294
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 25
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   25
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 15416
% 3.06/3.44  Kept: 409
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 26
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   26
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 21055
% 3.06/3.44  Kept: 501
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 27
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   27
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 44085
% 3.06/3.44  Kept: 974
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 28
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   28
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 98749
% 3.06/3.44  Kept: 1329
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 29
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Resimplifying inuse:
% 3.06/3.44  Done
% 3.06/3.44  
% 3.06/3.44  Failed to find proof!
% 3.06/3.44  maxweight =   29
% 3.06/3.44  maxnrclauses = 10000000
% 3.06/3.44  Generated: 150466
% 3.06/3.44  Kept: 1787
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  The strategy used was not complete!
% 3.06/3.44  
% 3.06/3.44  Increased maxweight to 30
% 3.06/3.44  
% 3.06/3.44  Starting Search:
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  Bliksems!, er is een bewijs:
% 3.06/3.44  % SZS status Unsatisfiable
% 3.06/3.44  % SZS output start Refutation
% 3.06/3.44  
% 3.06/3.44  clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 1, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( X
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 2, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), true ), true ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 3, [ =( ifeq( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( 
% 3.06/3.44    X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ) ]
% 3.06/3.44     )
% 3.06/3.44  .
% 3.06/3.44  clause( 4, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 5, [ =( 'c_in'( X, 'c_insert'( X, Y, Z ), Z ), true ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 6, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 7, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 8, [ ~( =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true ) ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 18, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 37, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 3.06/3.44    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 38, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 43, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', Y, 't_a'
% 3.06/3.44     ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ), true ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 81, [ =( ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 'c_insert'( X, 
% 3.06/3.44    'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( X
% 3.06/3.44    , 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true ), true ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 160, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 329, [ =( 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  .
% 3.06/3.44  clause( 331, [] )
% 3.06/3.44  .
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  % SZS output end Refutation
% 3.06/3.44  found a proof!
% 3.06/3.44  
% 3.06/3.44  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.06/3.44  
% 3.06/3.44  initialclauses(
% 3.06/3.44  [ clause( 333, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , clause( 334, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( X
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 335, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), true ), true ) ] )
% 3.06/3.44  , clause( 336, [ =( ifeq( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ), true, 
% 3.06/3.44    'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), true ), 
% 3.06/3.44    true ) ] )
% 3.06/3.44  , clause( 337, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 338, [ =( 'c_in'( X, 'c_insert'( X, Y, Z ), Z ), true ) ] )
% 3.06/3.44  , clause( 339, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , clause( 340, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , clause( 341, [ ~( =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true ) ) ] )
% 3.06/3.44  ] ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , clause( 333, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 3.06/3.44    permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 1, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( X
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 334, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( X
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 3.06/3.44    permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 2, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), true ), true ) ] )
% 3.06/3.44  , clause( 335, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), true ), true ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 3.06/3.44    permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 3, [ =( ifeq( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( 
% 3.06/3.44    X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ) ]
% 3.06/3.44     )
% 3.06/3.44  , clause( 336, [ =( ifeq( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ), true, 
% 3.06/3.44    'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), true ), 
% 3.06/3.44    true ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 3.06/3.44    permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 4, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 337, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 3.06/3.44    permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 5, [ =( 'c_in'( X, 'c_insert'( X, Y, Z ), Z ), true ) ] )
% 3.06/3.44  , clause( 338, [ =( 'c_in'( X, 'c_insert'( X, Y, Z ), Z ), true ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 3.06/3.44    permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 6, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , clause( 339, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 7, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , clause( 340, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 8, [ ~( =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true ) ) ] )
% 3.06/3.44  , clause( 341, [ ~( =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true ) ) ] )
% 3.06/3.44  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 388, [ =( true, ifeq( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ), true, 
% 3.06/3.44    'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), true ) ) ]
% 3.06/3.44     )
% 3.06/3.44  , clause( 3, [ =( ifeq( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( 
% 3.06/3.44    X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ) ]
% 3.06/3.44     )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 390, [ =( true, ifeq( true, true, 'c_in'( X, 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( X, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), 
% 3.06/3.44    true ) ) ] )
% 3.06/3.44  , clause( 5, [ =( 'c_in'( X, 'c_insert'( X, Y, Z ), Z ), true ) ] )
% 3.06/3.44  , 0, clause( 388, [ =( true, ifeq( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ), 
% 3.06/3.44    true, 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ), true
% 3.06/3.44     ) ) ] )
% 3.06/3.44  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'tc_PropLog_Opl'( 
% 3.06/3.44    Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 'c_insert'( X, Y, 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ) ), :=( Z, Z )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 391, [ =( true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 3.06/3.44  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , 0, clause( 390, [ =( true, ifeq( true, true, 'c_in'( X, 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( X, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), 
% 3.06/3.44    true ) ) ] )
% 3.06/3.44  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X
% 3.06/3.44     ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 392, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ] )
% 3.06/3.44  , clause( 391, [ =( true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ) ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 18, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ] )
% 3.06/3.44  , clause( 392, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 3.06/3.44    permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 394, [ =( true, ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ) ]
% 3.06/3.44     )
% 3.06/3.44  , clause( 4, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 3.06/3.44    ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 396, [ =( true, ifeq( true, true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 'c_PropLog_Opl_Ofalse', 't_a' ), 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , clause( 7, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , 0, clause( 394, [ =( true, ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ) ]
% 3.06/3.44     )
% 3.06/3.44  , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 'c_PropLog_Opl_Ofalse', 't_a' ) ), 
% 3.06/3.44    :=( Y, 'v_H' ), :=( Z, 't_a' ), :=( T, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 397, [ =( true, 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 3.06/3.44    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ]
% 3.06/3.44     )
% 3.06/3.44  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , 0, clause( 396, [ =( true, ifeq( true, true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 'c_PropLog_Opl_Ofalse', 't_a' ), 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 'c_PropLog_Opl_Ofalse', 't_a' ), 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), :=( Z, true )] ), substitution( 1
% 3.06/3.44    , [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 398, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 3.06/3.44    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 397, [ =( true, 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 3.06/3.44    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ]
% 3.06/3.44     )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 37, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 3.06/3.44    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 398, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 3.06/3.44    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 400, [ =( true, ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ) ]
% 3.06/3.44     )
% 3.06/3.44  , clause( 4, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 3.06/3.44    ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 402, [ =( true, ifeq( true, true, 'c_in'( 'v_p', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , clause( 6, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'v_H', 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , 0, clause( 400, [ =( true, ifeq( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    T, Y, 'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ) ]
% 3.06/3.44     )
% 3.06/3.44  , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_p' ), :=( Y, 
% 3.06/3.44    'v_H' ), :=( Z, 't_a' ), :=( T, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 403, [ =( true, 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 
% 3.06/3.44    'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , 0, clause( 402, [ =( true, ifeq( true, true, 'c_in'( 'v_p', 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( 'v_p', 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), :=( Z, true )] ), substitution( 1
% 3.06/3.44    , [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 404, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  , clause( 403, [ =( true, 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 
% 3.06/3.44    'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 38, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  , clause( 404, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 3.06/3.44    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 406, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z )
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( 
% 3.06/3.44    X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ) ) ] )
% 3.06/3.44  , clause( 1, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( X
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 3.06/3.44    ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 408, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, ifeq( true, true, 
% 3.06/3.44    'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ), true ) ) ] )
% 3.06/3.44  , clause( 38, [ =( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  , 0, clause( 406, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y
% 3.06/3.44    , Z ), 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 
% 3.06/3.44    'c_in'( X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 
% 3.06/3.44    'c_in'( Y, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), 
% 3.06/3.44    true ) ) ] )
% 3.06/3.44  , 0, 19, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, 'v_p'
% 3.06/3.44     ), :=( Y, X ), :=( Z, 't_a' ), :=( T, 'c_insert'( Y, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ) )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 410, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , 0, clause( 408, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'v_p', X, 't_a' ), 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 
% 3.06/3.44    ifeq( true, true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44    , true ) ) ] )
% 3.06/3.44  , 0, 18, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), :=( Z, true )] ), substitution( 1
% 3.06/3.44    , [ :=( X, X ), :=( Y, Y )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 411, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a'
% 3.06/3.44     ), 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ), true ) ] )
% 3.06/3.44  , clause( 410, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 
% 3.06/3.44    X, 't_a' ), 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 43, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', Y, 't_a'
% 3.06/3.44     ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ), true ) ] )
% 3.06/3.44  , clause( 411, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 
% 3.06/3.44    't_a' ), 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a'
% 3.06/3.44     ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ), true ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.06/3.44     )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 413, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z )
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( 
% 3.06/3.44    X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ) ) ] )
% 3.06/3.44  , clause( 1, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 'c_in'( X
% 3.06/3.44    , 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), true ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 3.06/3.44    ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 415, [ =( true, ifeq( true, true, ifeq( 'c_in'( 'v_q', 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44    , true ) ) ] )
% 3.06/3.44  , clause( 37, [ =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_q', 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H'
% 3.06/3.44    , 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, clause( 413, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y
% 3.06/3.44    , Z ), 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, ifeq( 
% 3.06/3.44    'c_in'( X, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true, 
% 3.06/3.44    'c_in'( Y, 'c_PropLog_Othms'( T, Z ), 'tc_PropLog_Opl'( Z ) ), true ), 
% 3.06/3.44    true ) ) ] )
% 3.06/3.44  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'v_q' )
% 3.06/3.44    , :=( Y, 'c_PropLog_Opl_Ofalse' ), :=( Z, 't_a' ), :=( T, 'c_insert'( X, 
% 3.06/3.44    'v_H', 'tc_PropLog_Opl'( 't_a' ) ) )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 420, [ =( true, ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true ) ) ] )
% 3.06/3.44  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , 0, clause( 415, [ =( true, ifeq( true, true, ifeq( 'c_in'( 'v_q', 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44    , true ) ) ] )
% 3.06/3.44  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, ifeq( 'c_in'( 'v_q', 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 421, [ =( ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 'c_insert'( X, 
% 3.06/3.44    'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( X
% 3.06/3.44    , 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true ), true ) ] )
% 3.06/3.44  , clause( 420, [ =( true, ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( 'c_PropLog_Opl_Ofalse', 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 81, [ =( ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 'c_insert'( X, 
% 3.06/3.44    'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( X
% 3.06/3.44    , 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true ), true ) ] )
% 3.06/3.44  , clause( 421, [ =( ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 'c_insert'( X, 
% 3.06/3.44    'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( X
% 3.06/3.44    , 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true ), true ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 423, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , clause( 43, [ =( ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', Y, 
% 3.06/3.44    't_a' ), 'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a'
% 3.06/3.44     ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( Y, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ), true ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 425, [ =( true, ifeq( true, true, 'c_in'( X, 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 18, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( X, Y, 
% 3.06/3.44    'tc_PropLog_Opl'( Z ) ), Z ), 'tc_PropLog_Opl'( Z ) ), true ) ] )
% 3.06/3.44  , 0, clause( 423, [ =( true, ifeq( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'v_p', X, 't_a' ), 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true, 
% 3.06/3.44    'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , 0, 3, substitution( 0, [ :=( X, 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 
% 3.06/3.44    't_a' ) ), :=( Y, 'v_H' ), :=( Z, 't_a' )] ), substitution( 1, [ :=( X, X
% 3.06/3.44     ), :=( Y, 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ) )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 427, [ =( true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 3.06/3.44  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , 0, clause( 425, [ =( true, ifeq( true, true, 'c_in'( X, 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( X, 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 
% 3.06/3.44    't_a' ), 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ) ), :=( Z, true )] ), substitution( 1, [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 428, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , clause( 427, [ =( true, 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 160, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , clause( 428, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 430, [ =( true, ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true ) ) ] )
% 3.06/3.44  , clause( 81, [ =( ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 'c_insert'( X, 
% 3.06/3.44    'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( X
% 3.06/3.44    , 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' )
% 3.06/3.44     ), true ), true ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 432, [ =( true, ifeq( true, true, 'c_in'( 'c_PropLog_Opl_Ofalse', 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 
% 3.06/3.44    't_a' ), 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), true ) ) ] )
% 3.06/3.44  , clause( 160, [ =( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', X, 't_a' ), 'v_H', 'tc_PropLog_Opl'( 
% 3.06/3.44    't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ] )
% 3.06/3.44  , 0, clause( 430, [ =( true, ifeq( 'c_in'( 'v_q', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), true, 'c_in'( 'c_PropLog_Opl_Ofalse', 
% 3.06/3.44    'c_PropLog_Othms'( 'c_insert'( X, 'v_H', 'tc_PropLog_Opl'( 't_a' ) ), 
% 3.06/3.44    't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , 0, 3, substitution( 0, [ :=( X, 'v_q' )] ), substitution( 1, [ :=( X, 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ) )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 434, [ =( true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 3.06/3.44  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , 0, clause( 432, [ =( true, ifeq( true, true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ), :=( 
% 3.06/3.44    Z, true )] ), substitution( 1, [] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 435, [ =( 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  , clause( 434, [ =( true, 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ) ) ] )
% 3.06/3.44  , 0, substitution( 0, [] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 329, [ =( 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  , clause( 435, [ =( 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 437, [ =( true, ifeq( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, 
% 3.06/3.44    Z, 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), true ) ) ] )
% 3.06/3.44  , clause( 2, [ =( ifeq( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), true ), true ) ] )
% 3.06/3.44  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 3.06/3.44    ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  eqswap(
% 3.06/3.44  clause( 439, [ ~( =( true, 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44     ) ) ] )
% 3.06/3.44  , clause( 8, [ ~( =( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44    , true ) ) ] )
% 3.06/3.44  , 0, substitution( 0, [] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 440, [ =( true, ifeq( true, true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 
% 3.06/3.44    't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a'
% 3.06/3.44     ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , clause( 329, [ =( 'c_in'( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Othms'( 
% 3.06/3.44    'c_insert'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'v_H', 
% 3.06/3.44    'tc_PropLog_Opl'( 't_a' ) ), 't_a' ), 'tc_PropLog_Opl'( 't_a' ) ), true )
% 3.06/3.44     ] )
% 3.06/3.44  , 0, clause( 437, [ =( true, ifeq( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( 
% 3.06/3.44    Y, Z, 'tc_PropLog_Opl'( T ) ), T ), 'tc_PropLog_Opl'( T ) ), true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( Y, X, T ), 'c_PropLog_Othms'( Z, T ), 
% 3.06/3.44    'tc_PropLog_Opl'( T ) ), true ) ) ] )
% 3.06/3.44  , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, 
% 3.06/3.44    'c_PropLog_Opl_Ofalse' ), :=( Y, 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q'
% 3.06/3.44    , 't_a' ) ), :=( Z, 'v_H' ), :=( T, 't_a' )] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  paramod(
% 3.06/3.44  clause( 441, [ =( true, 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44     ) ] )
% 3.06/3.44  , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 3.06/3.44  , 0, clause( 440, [ =( true, ifeq( true, true, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 
% 3.06/3.44    't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a'
% 3.06/3.44     ), 'tc_PropLog_Opl'( 't_a' ) ), true ) ) ] )
% 3.06/3.44  , 0, 2, substitution( 0, [ :=( X, true ), :=( Y, 'c_in'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 
% 3.06/3.44    't_a' ), 'c_PropLog_Opl_Ofalse', 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a'
% 3.06/3.44     ), 'tc_PropLog_Opl'( 't_a' ) ) ), :=( Z, true )] ), substitution( 1, [] )
% 3.06/3.44    ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  resolution(
% 3.06/3.44  clause( 442, [] )
% 3.06/3.44  , clause( 439, [ ~( =( true, 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44     ) ) ] )
% 3.06/3.44  , 0, clause( 441, [ =( true, 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( 
% 3.06/3.44    'c_PropLog_Opl_Oop_A_N_62'( 'v_p', 'v_q', 't_a' ), 'c_PropLog_Opl_Ofalse'
% 3.06/3.44    , 't_a' ), 'c_PropLog_Othms'( 'v_H', 't_a' ), 'tc_PropLog_Opl'( 't_a' ) )
% 3.06/3.44     ) ] )
% 3.06/3.44  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  subsumption(
% 3.06/3.44  clause( 331, [] )
% 3.06/3.44  , clause( 442, [] )
% 3.06/3.44  , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  end.
% 3.06/3.44  
% 3.06/3.44  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.06/3.44  
% 3.06/3.44  Memory use:
% 3.06/3.44  
% 3.06/3.44  space for terms:        7117
% 3.06/3.44  space for clauses:      62710
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  clauses generated:      2857
% 3.06/3.44  clauses kept:           332
% 3.06/3.44  clauses selected:       147
% 3.06/3.44  clauses deleted:        5
% 3.06/3.44  clauses inuse deleted:  0
% 3.06/3.44  
% 3.06/3.44  subsentry:          377
% 3.06/3.44  literals s-matched: 170
% 3.06/3.44  literals matched:   170
% 3.06/3.44  full subsumption:   0
% 3.06/3.44  
% 3.06/3.44  checksum:           -1636774739
% 3.06/3.44  
% 3.06/3.44  
% 3.06/3.44  Bliksem ended
%------------------------------------------------------------------------------