TSTP Solution File: LAT034-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n013.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 : Sun Jul 17 04:34:22 EDT 2022

% Result   : Unsatisfiable 0.65s 1.07s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   2 RR)
%            Number of literals    :    5 (   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    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(meet(A,join(A,B)),A),
    file('LAT034-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(join(A,meet(A,B)),A),
    file('LAT034-1.p',unknown),
    [] ).

cnf(7,plain,
    ~ equal(meet(xx,xx),xx),
    file('LAT034-1.p',unknown),
    [] ).

cnf(8,plain,
    equal(meet(A,A),A),
    inference(para,[status(thm),theory(equality)],[2,1]),
    [iquote('para(2,1)')] ).

cnf(9,plain,
    $false,
    inference(conflict,[status(thm)],[8,7]),
    [iquote('conflict(8,7)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT034-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.10/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.33  % Computer : n013.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 : Thu Jun 30 07:08:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.65/1.06  ----- EQP 0.9e, May 2009 -----
% 0.65/1.06  The job began on n013.cluster.edu, Thu Jun 30 07:08:45 2022
% 0.65/1.06  The command was "./eqp09e".
% 0.65/1.06  
% 0.65/1.06  set(prolog_style_variables).
% 0.65/1.06  set(lrpo).
% 0.65/1.06  set(basic_paramod).
% 0.65/1.06  set(functional_subsume).
% 0.65/1.06  set(ordered_paramod).
% 0.65/1.06  set(prime_paramod).
% 0.65/1.06  set(para_pairs).
% 0.65/1.06  assign(pick_given_ratio,4).
% 0.65/1.06  clear(print_kept).
% 0.65/1.06  clear(print_new_demod).
% 0.65/1.06  clear(print_back_demod).
% 0.65/1.06  clear(print_given).
% 0.65/1.06  assign(max_mem,64000).
% 0.65/1.06  end_of_commands.
% 0.65/1.06  
% 0.65/1.06  Usable:
% 0.65/1.06  end_of_list.
% 0.65/1.06  
% 0.65/1.06  Sos:
% 0.65/1.06  0 (wt=-1) [] meet(A,join(A,B)) = A.
% 0.65/1.06  0 (wt=-1) [] join(A,meet(A,B)) = A.
% 0.65/1.06  0 (wt=-1) [] meet(A,B) = meet(B,A).
% 0.65/1.06  0 (wt=-1) [] join(A,B) = join(B,A).
% 0.65/1.06  0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.65/1.06  0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.65/1.06  0 (wt=-1) [] -(meet(xx,xx) = xx).
% 0.65/1.06  end_of_list.
% 0.65/1.06  
% 0.65/1.06  Demodulators:
% 0.65/1.06  end_of_list.
% 0.65/1.06  
% 0.65/1.06  Passive:
% 0.65/1.06  end_of_list.
% 0.65/1.06  
% 0.65/1.06  Starting to process input.
% 0.65/1.06  
% 0.65/1.06  ** KEPT: 1 (wt=7) [] meet(A,join(A,B)) = A.
% 0.65/1.06  1 is a new demodulator.
% 0.65/1.06  
% 0.65/1.06  ** KEPT: 2 (wt=7) [] join(A,meet(A,B)) = A.
% 0.65/1.06  2 is a new demodulator.
% 0.65/1.06  
% 0.65/1.06  ** KEPT: 3 (wt=7) [] meet(A,B) = meet(B,A).
% 0.65/1.06  clause forward subsumed: 0 (wt=7) [flip(3)] meet(B,A) = meet(A,B).
% 0.65/1.07  
% 0.65/1.07  ** KEPT: 4 (wt=7) [] join(A,B) = join(B,A).
% 0.65/1.07  clause forward subsumed: 0 (wt=7) [flip(4)] join(B,A) = join(A,B).
% 0.65/1.07  
% 0.65/1.07  ** KEPT: 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.65/1.07  5 is a new demodulator.
% 0.65/1.07  
% 0.65/1.07  ** KEPT: 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.65/1.07  6 is a new demodulator.
% 0.65/1.07  
% 0.65/1.07  ** KEPT: 7 (wt=5) [] -(meet(xx,xx) = xx).
% 0.65/1.07  ---------------- PROOF FOUND ----------------
% 0.65/1.07  % SZS status Unsatisfiable
% 0.65/1.07  
% 0.65/1.07  
% 0.65/1.07  After processing input:
% 0.65/1.07  
% 0.65/1.07  Usable:
% 0.65/1.07  end_of_list.
% 0.65/1.07  
% 0.65/1.07  Sos:
% 0.65/1.07  7 (wt=5) [] -(meet(xx,xx) = xx).
% 0.65/1.07  1 (wt=7) [] meet(A,join(A,B)) = A.
% 0.65/1.07  2 (wt=7) [] join(A,meet(A,B)) = A.
% 0.65/1.07  3 (wt=7) [] meet(A,B) = meet(B,A).
% 0.65/1.07  4 (wt=7) [] join(A,B) = join(B,A).
% 0.65/1.07  5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.65/1.07  6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.65/1.07  end_of_list.
% 0.65/1.07  
% 0.65/1.07  Demodulators:
% 0.65/1.07  1 (wt=7) [] meet(A,join(A,B)) = A.
% 0.65/1.07  2 (wt=7) [] join(A,meet(A,B)) = A.
% 0.65/1.07  5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.65/1.07  6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.65/1.07  end_of_list.
% 0.65/1.07  
% 0.65/1.07  Passive:
% 0.65/1.07  end_of_list.
% 0.65/1.07  
% 0.65/1.07  UNIT CONFLICT from 8 and 7 at   0.00 seconds.
% 0.65/1.07  
% 0.65/1.07  ---------------- PROOF ----------------
% 0.65/1.07  % SZS output start Refutation
% See solution above
% 0.65/1.07  ------------ end of proof -------------
% 0.65/1.07  
% 0.65/1.07  
% 0.65/1.07  ------------- memory usage ------------
% 0.65/1.07  Memory dynamically allocated (tp_alloc): 488.
% 0.65/1.07    type (bytes each)        gets      frees     in use      avail      bytes
% 0.65/1.07  sym_ent (  96)               54          0         54          0      5.1 K
% 0.65/1.07  term (  16)                 537        473         64         10      1.4 K
% 0.65/1.07  gen_ptr (   8)              215         72        143          4      1.1 K
% 0.65/1.07  context ( 808)              109        107          2          2      3.2 K
% 0.65/1.07  trail (  12)                 11         11          0          3      0.0 K
% 0.65/1.07  bt_node (  68)               27         24          3          2      0.3 K
% 0.65/1.07  ac_position (285432)          0          0          0          0      0.0 K
% 0.65/1.07  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.65/1.07  ac_match_free_vars_pos (4020)
% 0.65/1.07                                0          0          0          0      0.0 K
% 0.65/1.07  discrim (  12)               65          0         65          0      0.8 K
% 0.65/1.07  flat (  40)                 134        134          0          7      0.3 K
% 0.65/1.07  discrim_pos (  12)            3          3          0          1      0.0 K
% 0.65/1.07  fpa_head (  12)              64          0         64          0      0.8 K
% 0.65/1.07  fpa_tree (  28)              10         10          0          5      0.1 K
% 0.65/1.07  fpa_pos (  36)               12         12          0          1      0.0 K
% 0.65/1.07  literal (  12)               21         13          8          1      0.1 K
% 0.65/1.07  clause (  24)                21         13          8          1      0.2 K
% 0.65/1.07  list (  12)                  63          7         56          3      0.7 K
% 0.65/1.07  list_pos (  20)              32          7         25          0      0.5 K
% 0.65/1.07  pair_index (   40)              2          0          2          0      0.1 K
% 0.65/1.07  
% 0.65/1.07  -------------- statistics -------------
% 0.65/1.07  Clauses input                  7
% 0.65/1.07    Usable input                   0
% 0.65/1.07    Sos input                      7
% 0.65/1.07    Demodulators input             0
% 0.65/1.07    Passive input                  0
% 0.65/1.07  
% 0.65/1.07  Processed BS (before search)   9
% 0.65/1.07  Forward subsumed BS            2
% 0.65/1.07  Kept BS                        7
% 0.65/1.07  New demodulators BS            4
% 0.65/1.07  Back demodulated BS            0
% 0.65/1.07  
% 0.65/1.07  Clauses or pairs given         7
% 0.65/1.07  Clauses generated              3
% 0.65/1.07  Forward subsumed               2
% 0.65/1.07  Deleted by weight              0
% 0.65/1.07  Deleted by variable count      0
% 0.65/1.07  Kept                           1
% 0.65/1.07  New demodulators               0
% 0.65/1.07  Back demodulated               0
% 0.65/1.07  Ordered paramod prunes         0
% 0.65/1.07  Basic paramod prunes           0
% 0.65/1.07  Prime paramod prunes           0
% 0.65/1.07  Semantic prunes                0
% 0.65/1.07  
% 0.65/1.07  Rewrite attmepts              41
% 0.65/1.07  Rewrites                       0
% 0.65/1.07  
% 0.65/1.07  FPA overloads                  0
% 0.65/1.07  FPA underloads                 0
% 0.65/1.07  
% 0.65/1.07  Usable size                    0
% 0.65/1.07  Sos size                       7
% 0.65/1.07  Demodulators size              4
% 0.65/1.07  Passive size                   0
% 0.65/1.07  Disabled size                  0
% 0.65/1.07  
% 0.65/1.07  Proofs found                   1
% 0.65/1.07  
% 0.65/1.07  ----------- times (seconds) ----------- Thu Jun 30 07:08:45 2022
% 0.65/1.07  
% 0.65/1.07  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.65/1.07  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.65/1.07  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.65/1.07  input time                0.00
% 0.65/1.07  paramodulation time       0.00
% 0.65/1.07  demodulation time         0.00
% 0.65/1.07  orient time               0.00
% 0.65/1.07  weigh time                0.00
% 0.65/1.07  forward subsume time      0.00
% 0.65/1.07  back demod find time      0.00
% 0.65/1.07  conflict time             0.00
% 0.65/1.07  LRPO time                 0.00
% 0.65/1.07  store clause time         0.00
% 0.65/1.07  disable clause time       0.00
% 0.65/1.07  prime paramod time        0.00
% 0.65/1.07  semantics time            0.00
% 0.65/1.07  
% 0.65/1.07  EQP interrupted
%------------------------------------------------------------------------------