TSTP Solution File: REL049-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n018.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  : 600s
% DateTime : Mon Jul 18 19:16:13 EDT 2022

% Result   : Unsatisfiable 0.42s 1.06s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   4 RR)
%            Number of literals    :    6 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(join(A,B),join(B,A)),
    file('REL049-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(join(join(A,B),C),join(A,join(B,C))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(15,plain,
    equal(join(sk1,sk2),sk2),
    file('REL049-1.p',unknown),
    [] ).

cnf(16,plain,
    equal(join(sk3,sk2),sk2),
    file('REL049-1.p',unknown),
    [] ).

cnf(17,plain,
    ~ equal(sk2,sk2),
    inference(demod,[status(thm),theory(equality)],[2,16,15]),
    [iquote('demod([2,16,15])')] ).

cnf(18,plain,
    $false,
    inference(conflict,[status(thm)],[17]),
    [iquote('xx_conflict(17)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.33  % Computer : n018.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  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  8 10:03:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.42/1.06  ----- EQP 0.9e, May 2009 -----
% 0.42/1.06  The job began on n018.cluster.edu, Fri Jul  8 10:03:26 2022
% 0.42/1.06  The command was "./eqp09e".
% 0.42/1.06  
% 0.42/1.06  set(prolog_style_variables).
% 0.42/1.06  set(lrpo).
% 0.42/1.06  set(basic_paramod).
% 0.42/1.06  set(functional_subsume).
% 0.42/1.06  set(ordered_paramod).
% 0.42/1.06  set(prime_paramod).
% 0.42/1.06  set(para_pairs).
% 0.42/1.06  assign(pick_given_ratio,4).
% 0.42/1.06  clear(print_kept).
% 0.42/1.06  clear(print_new_demod).
% 0.42/1.06  clear(print_back_demod).
% 0.42/1.06  clear(print_given).
% 0.42/1.06  assign(max_mem,64000).
% 0.42/1.06  end_of_commands.
% 0.42/1.06  
% 0.42/1.06  Usable:
% 0.42/1.06  end_of_list.
% 0.42/1.06  
% 0.42/1.06  Sos:
% 0.42/1.06  0 (wt=-1) [] join(A,B) = join(B,A).
% 0.42/1.06  0 (wt=-1) [] join(A,join(B,C)) = join(join(A,B),C).
% 0.42/1.06  0 (wt=-1) [] A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))).
% 0.42/1.06  0 (wt=-1) [] meet(A,B) = complement(join(complement(A),complement(B))).
% 0.42/1.06  0 (wt=-1) [] composition(A,composition(B,C)) = composition(composition(A,B),C).
% 0.42/1.06  0 (wt=-1) [] composition(A,one) = A.
% 0.42/1.06  0 (wt=-1) [] composition(join(A,B),C) = join(composition(A,C),composition(B,C)).
% 0.42/1.06  0 (wt=-1) [] converse(converse(A)) = A.
% 0.42/1.06  0 (wt=-1) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.42/1.06  0 (wt=-1) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.42/1.06  0 (wt=-1) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.42/1.06  0 (wt=-1) [] top = join(A,complement(A)).
% 0.42/1.06  0 (wt=-1) [] zero = meet(A,complement(A)).
% 0.42/1.06  0 (wt=-1) [] join(sk1,sk2) = sk2.
% 0.42/1.06  0 (wt=-1) [] join(sk3,sk2) = sk2.
% 0.42/1.06  0 (wt=-1) [] -(join(join(sk1,sk3),sk2) = sk2).
% 0.42/1.06  end_of_list.
% 0.42/1.06  
% 0.42/1.06  Demodulators:
% 0.42/1.06  end_of_list.
% 0.42/1.06  
% 0.42/1.06  Passive:
% 0.42/1.06  end_of_list.
% 0.42/1.06  
% 0.42/1.06  Starting to process input.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 1 (wt=7) [] join(A,B) = join(B,A).
% 0.42/1.06  clause forward subsumed: 0 (wt=7) [flip(1)] join(B,A) = join(A,B).
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 0.42/1.06  2 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 3 (wt=14) [flip(1)] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A.
% 0.42/1.06  3 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 0.42/1.06  4 is a new demodulator.
% 0.42/1.06      -> 4 back demodulating 3.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 0.42/1.06  5 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 0.42/1.06  6 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 7 (wt=5) [] composition(A,one) = A.
% 0.42/1.06  7 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 0.42/1.06  8 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 9 (wt=5) [] converse(converse(A)) = A.
% 0.42/1.06  9 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.42/1.06  10 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.42/1.06  11 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.42/1.06  12 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 0.42/1.06  13 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 0.42/1.06  14 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 15 (wt=5) [] join(sk1,sk2) = sk2.
% 0.42/1.06  15 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 16 (wt=5) [] join(sk3,sk2) = sk2.
% 0.42/1.06  16 is a new demodulator.
% 0.42/1.06  
% 0.42/1.06  ** KEPT: 17 (wt=3) [demod([2,16,15])] -(sk2 = sk2).
% 0.42/1.06  ---------------- PROOF FOUND ----------------
% 0.42/1.06  % SZS status Unsatisfiable
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  UNIT CONFLICT from 17 and x=x at   0.00 seconds.
% 0.42/1.06  
% 0.42/1.06  ---------------- PROOF ----------------
% 0.42/1.06  % SZS output start Refutation
% See solution above
% 0.42/1.06  ------------ end of proof -------------
% 0.42/1.06  
% 0.42/1.06  
% 0.42/1.06  ------------- memory usage ------------
% 0.42/1.06  Memory dynamically allocated (tp_alloc): 488.
% 0.42/1.06    type (bytes each)        gets      frees     in use      avail      bytes
% 0.42/1.06  sym_ent (  96)               62          0         62          0      5.8 K
% 0.42/1.06  term (  16)                 891        742        149         21      3.2 K
% 0.42/1.06  gen_ptr (   8)              605        158        447          5      3.5 K
% 0.42/1.06  context ( 808)              169        169          0          3      2.4 K
% 0.42/1.06  trail (  12)                 30         30          0          3      0.0 K
% 0.42/1.06  bt_node (  68)                1          1          0          1      0.1 K
% 0.42/1.06  ac_position (285432)          0          0          0          0      0.0 K
% 0.42/1.06  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.42/1.06  ac_match_free_vars_pos (4020)
% 0.42/1.06                                0          0          0          0      0.0 K
% 0.42/1.06  discrim (  12)              188         23        165          0      1.9 K
% 0.42/1.06  flat (  40)                 250        250          0          7      0.3 K
% 0.42/1.06  discrim_pos (  12)            5          5          0          1      0.0 K
% 0.42/1.06  fpa_head (  12)             192          0        192          0      2.2 K
% 0.42/1.06  fpa_tree (  28)              33         33          0          5      0.1 K
% 0.42/1.06  fpa_pos (  36)               31         31          0          1      0.0 K
% 0.42/1.06  literal (  12)               35         18         17          1      0.2 K
% 0.42/1.06  clause (  24)                35         18         17          1      0.4 K
% 0.42/1.06  list (  12)                  74         16         58          2      0.7 K
% 0.42/1.06  list_pos (  20)              81         21         60          1      1.2 K
% 0.42/1.06  pair_index (   40)              2          0          2          0      0.1 K
% 0.42/1.06  
% 0.42/1.06  -------------- statistics -------------
% 0.42/1.06  Clauses input                 16
% 0.42/1.06    Usable input                   0
% 0.42/1.06    Sos input                     16
% 0.42/1.06    Demodulators input             0
% 0.42/1.06    Passive input                  0
% 0.42/1.06  
% 0.42/1.06  Processed BS (before search)  18
% 0.42/1.06  Forward subsumed BS            1
% 0.42/1.06  Kept BS                       17
% 0.42/1.06  New demodulators BS           15
% 0.42/1.06  Back demodulated BS            1
% 0.42/1.06  
% 0.42/1.06  Clauses or pairs given         0
% 0.42/1.06  Clauses generated              0
% 0.42/1.06  Forward subsumed               0
% 0.42/1.06  Deleted by weight              0
% 0.42/1.06  Deleted by variable count      0
% 0.42/1.06  Kept                           0
% 0.42/1.06  New demodulators               0
% 0.42/1.06  Back demodulated               0
% 0.42/1.06  Ordered paramod prunes         0
% 0.42/1.06  Basic paramod prunes           0
% 0.42/1.06  Prime paramod prunes           0
% 0.42/1.06  Semantic prunes                0
% 0.42/1.06  
% 0.42/1.06  Rewrite attmepts             102
% 0.42/1.06  Rewrites                       4
% 0.42/1.06  
% 0.42/1.06  FPA overloads                  0
% 0.42/1.06  FPA underloads                 0
% 0.42/1.06  
% 0.42/1.06  Usable size                    0
% 0.42/1.06  Sos size                      15
% 0.42/1.06  Demodulators size             14
% 0.42/1.06  Passive size                   0
% 0.42/1.06  Disabled size                  1
% 0.42/1.06  
% 0.42/1.06  Proofs found                   1
% 0.42/1.06  
% 0.42/1.06  ----------- times (seconds) ----------- Fri Jul  8 10:03:26 2022
% 0.42/1.06  
% 0.42/1.06  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.42/1.06  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.42/1.06  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.42/1.06  input time                0.00
% 0.42/1.06  paramodulation time       0.00
% 0.42/1.06  demodulation time         0.00
% 0.42/1.06  orient time               0.00
% 0.42/1.06  weigh time                0.00
% 0.42/1.06  forward subsume time      0.00
% 0.42/1.06  back demod find time      0.00
% 0.42/1.06  conflict time             0.00
% 0.42/1.06  LRPO time                 0.00
% 0.42/1.06  store clause time         0.00
% 0.42/1.06  disable clause time       0.00
% 0.42/1.06  prime paramod time        0.00
% 0.42/1.06  semantics time            0.00
% 0.42/1.06  
% 0.42/1.06  EQP interrupted
%------------------------------------------------------------------------------