TSTP Solution File: COL058-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : COL058-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n020.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 : Fri Jul 15 00:23:17 EDT 2022

% Result   : Unsatisfiable 0.68s 1.08s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(response(response(lark,A),B),response(A,response(B,B))),
    file('COL058-1.p',unknown),
    [] ).

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

cnf(3,plain,
    ~ equal(response(A,A),A),
    file('COL058-1.p',unknown),
    [] ).

cnf(6,plain,
    equal(response(response(response(lark,lark),A),B),response(response(A,A),response(B,B))),
    inference(para,[status(thm),theory(equality)],[2,1]),
    [iquote('para(2,1)')] ).

cnf(7,plain,
    equal(response(response(A,A),response(B,B)),response(response(response(lark,lark),A),B)),
    inference(flip,[status(thm),theory(equality)],[6]),
    [iquote('flip(6)')] ).

cnf(12,plain,
    ~ equal(response(response(response(lark,lark),A),A),response(A,A)),
    inference(para,[status(thm),theory(equality)],[7,3]),
    [iquote('para(7,3)')] ).

cnf(16,plain,
    ~ equal(response(response(response(lark,response(lark,lark)),A),response(A,A)),response(response(A,A),response(A,A))),
    inference(para,[status(thm),theory(equality)],[2,12]),
    [iquote('para(2,12)')] ).

cnf(17,plain,
    $false,
    inference(conflict,[status(thm)],[16]),
    [iquote('xx_conflict(16)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COL058-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.33  % Computer : n020.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 : Tue May 31 13:02:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.68/1.08  ----- EQP 0.9e, May 2009 -----
% 0.68/1.08  The job began on n020.cluster.edu, Tue May 31 13:02:09 2022
% 0.68/1.08  The command was "./eqp09e".
% 0.68/1.08  
% 0.68/1.08  set(prolog_style_variables).
% 0.68/1.08  set(lrpo).
% 0.68/1.08  set(basic_paramod).
% 0.68/1.08  set(functional_subsume).
% 0.68/1.08  set(ordered_paramod).
% 0.68/1.08  set(prime_paramod).
% 0.68/1.08  set(para_pairs).
% 0.68/1.08  assign(pick_given_ratio,4).
% 0.68/1.08  clear(print_kept).
% 0.68/1.08  clear(print_new_demod).
% 0.68/1.08  clear(print_back_demod).
% 0.68/1.08  clear(print_given).
% 0.68/1.08  assign(max_mem,64000).
% 0.68/1.08  end_of_commands.
% 0.68/1.08  
% 0.68/1.08  Usable:
% 0.68/1.08  end_of_list.
% 0.68/1.08  
% 0.68/1.08  Sos:
% 0.68/1.08  0 (wt=-1) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.68/1.08  0 (wt=-1) [] -(response(A,A) = A).
% 0.68/1.08  end_of_list.
% 0.68/1.08  
% 0.68/1.08  Demodulators:
% 0.68/1.08  end_of_list.
% 0.68/1.08  
% 0.68/1.08  Passive:
% 0.68/1.08  end_of_list.
% 0.68/1.08  
% 0.68/1.08  Starting to process input.
% 0.68/1.08  
% 0.68/1.08  ** KEPT: 1 (wt=11) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.68/1.08  
% 0.68/1.08  ** KEPT: 2 (wt=11) [flip(1)] response(A,response(B,B)) = response(response(lark,A),B).
% 0.68/1.08  clause forward subsumed: 0 (wt=11) [flip(2)] response(response(lark,A),B) = response(A,response(B,B)).
% 0.68/1.08  
% 0.68/1.08  ** KEPT: 3 (wt=5) [] -(response(A,A) = A).
% 0.68/1.08  ---------------- PROOF FOUND ----------------
% 0.68/1.08  % SZS status Unsatisfiable
% 0.68/1.08  
% 0.68/1.08  
% 0.68/1.08  After processing input:
% 0.68/1.08  
% 0.68/1.08  Usable:
% 0.68/1.08  end_of_list.
% 0.68/1.08  
% 0.68/1.08  Sos:
% 0.68/1.08  3 (wt=5) [] -(response(A,A) = A).
% 0.68/1.08  1 (wt=11) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.68/1.08  2 (wt=11) [flip(1)] response(A,response(B,B)) = response(response(lark,A),B).
% 0.68/1.08  end_of_list.
% 0.68/1.08  
% 0.68/1.08  Demodulators:
% 0.68/1.08  end_of_list.
% 0.68/1.08  
% 0.68/1.08  Passive:
% 0.68/1.08  end_of_list.
% 0.68/1.08  
% 0.68/1.08  UNIT CONFLICT from 16 and x=x at   0.00 seconds.
% 0.68/1.08  
% 0.68/1.08  ---------------- PROOF ----------------
% 0.68/1.08  % SZS output start Refutation
% See solution above
% 0.68/1.08  ------------ end of proof -------------
% 0.68/1.08  
% 0.68/1.08  
% 0.68/1.08  ------------- memory usage ------------
% 0.68/1.08  Memory dynamically allocated (tp_alloc): 488.
% 0.68/1.08    type (bytes each)        gets      frees     in use      avail      bytes
% 0.68/1.08  sym_ent (  96)               53          0         53          0      5.0 K
% 0.68/1.08  term (  16)                 770        534        236         20      4.9 K
% 0.68/1.08  gen_ptr (   8)              801         61        740          7      5.8 K
% 0.68/1.08  context ( 808)              371        369          2          2      3.2 K
% 0.68/1.08  trail (  12)                 79         79          0          3      0.0 K
% 0.68/1.08  bt_node (  68)              108        105          3         19      1.5 K
% 0.68/1.08  ac_position (285432)          0          0          0          0      0.0 K
% 0.68/1.08  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.68/1.08  ac_match_free_vars_pos (4020)
% 0.68/1.08                                0          0          0          0      0.0 K
% 0.68/1.08  discrim (  12)              167          0        167          0      2.0 K
% 0.68/1.08  flat (  40)                 240        240          0         19      0.7 K
% 0.68/1.08  discrim_pos (  12)            8          8          0          1      0.0 K
% 0.68/1.08  fpa_head (  12)             138          0        138          0      1.6 K
% 0.68/1.08  fpa_tree (  28)             111        111          0         13      0.4 K
% 0.68/1.08  fpa_pos (  36)               15         15          0          1      0.0 K
% 0.68/1.08  literal (  12)               42         26         16          0      0.2 K
% 0.68/1.08  clause (  24)                42         26         16          0      0.4 K
% 0.68/1.08  list (  12)                  59          3         56          3      0.7 K
% 0.68/1.08  list_pos (  20)              47          2         45          0      0.9 K
% 0.68/1.08  pair_index (   40)              2          0          2          0      0.1 K
% 0.68/1.08  
% 0.68/1.08  -------------- statistics -------------
% 0.68/1.08  Clauses input                  2
% 0.68/1.08    Usable input                   0
% 0.68/1.08    Sos input                      2
% 0.68/1.08    Demodulators input             0
% 0.68/1.08    Passive input                  0
% 0.68/1.08  
% 0.68/1.08  Processed BS (before search)   4
% 0.68/1.08  Forward subsumed BS            1
% 0.68/1.08  Kept BS                        3
% 0.68/1.08  New demodulators BS            0
% 0.68/1.08  Back demodulated BS            0
% 0.68/1.08  
% 0.68/1.08  Clauses or pairs given        18
% 0.68/1.08  Clauses generated             22
% 0.68/1.08  Forward subsumed               9
% 0.68/1.08  Deleted by weight              0
% 0.68/1.08  Deleted by variable count      0
% 0.68/1.08  Kept                          13
% 0.68/1.08  New demodulators               0
% 0.68/1.08  Back demodulated               0
% 0.68/1.08  Ordered paramod prunes         0
% 0.68/1.08  Basic paramod prunes           8
% 0.68/1.08  Prime paramod prunes           0
% 0.68/1.08  Semantic prunes                0
% 0.68/1.08  
% 0.68/1.08  Rewrite attmepts             225
% 0.68/1.08  Rewrites                       0
% 0.68/1.08  
% 0.68/1.08  FPA overloads                  0
% 0.68/1.08  FPA underloads                 0
% 0.68/1.08  
% 0.68/1.08  Usable size                    0
% 0.68/1.08  Sos size                      15
% 0.68/1.08  Demodulators size              0
% 0.68/1.08  Passive size                   0
% 0.68/1.08  Disabled size                  0
% 0.68/1.08  
% 0.68/1.08  Proofs found                   1
% 0.68/1.08  
% 0.68/1.08  ----------- times (seconds) ----------- Tue May 31 13:02:09 2022
% 0.68/1.08  
% 0.68/1.08  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.68/1.08  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.68/1.08  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.68/1.08  input time                0.00
% 0.68/1.08  paramodulation time       0.00
% 0.68/1.08  demodulation time         0.00
% 0.68/1.08  orient time               0.00
% 0.68/1.08  weigh time                0.00
% 0.68/1.08  forward subsume time      0.00
% 0.68/1.08  back demod find time      0.00
% 0.68/1.08  conflict time             0.00
% 0.68/1.08  LRPO time                 0.00
% 0.68/1.08  store clause time         0.00
% 0.68/1.08  disable clause time       0.00
% 0.68/1.08  prime paramod time        0.00
% 0.68/1.08  semantics time            0.00
% 0.68/1.08  
% 0.68/1.08  EQP interrupted
%------------------------------------------------------------------------------