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EQP---0.9e.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : COL053-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Fri Jul 15 00:23:17 EDT 2022

% Result   : Unsatisfiable 0.69s 1.06s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    4 (   0 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(response(compose(A,B),C),response(A,response(B,C))),
    file('COL053-1.p',unknown),
    [] ).

cnf(2,plain,
    ~ equal(response(A,f(A)),response(a,response(b,response(c,f(A))))),
    file('COL053-1.p',unknown),
    [] ).

cnf(4,plain,
    ~ equal(response(A,response(B,f(compose(A,B)))),response(a,response(b,response(c,f(compose(A,B)))))),
    inference(para,[status(thm),theory(equality)],[1,2]),
    [iquote('para(1,2)')] ).

cnf(5,plain,
    $false,
    inference(conflict,[status(thm)],[4,1]),
    [iquote('conflict(4,1)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue May 31 04:38:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.69/1.06  ----- EQP 0.9e, May 2009 -----
% 0.69/1.06  The job began on n019.cluster.edu, Tue May 31 04:38:26 2022
% 0.69/1.06  The command was "./eqp09e".
% 0.69/1.06  
% 0.69/1.06  set(prolog_style_variables).
% 0.69/1.06  set(lrpo).
% 0.69/1.06  set(basic_paramod).
% 0.69/1.06  set(functional_subsume).
% 0.69/1.06  set(ordered_paramod).
% 0.69/1.06  set(prime_paramod).
% 0.69/1.06  set(para_pairs).
% 0.69/1.06  assign(pick_given_ratio,4).
% 0.69/1.06  clear(print_kept).
% 0.69/1.06  clear(print_new_demod).
% 0.69/1.06  clear(print_back_demod).
% 0.69/1.06  clear(print_given).
% 0.69/1.06  assign(max_mem,64000).
% 0.69/1.06  end_of_commands.
% 0.69/1.06  
% 0.69/1.06  Usable:
% 0.69/1.06  end_of_list.
% 0.69/1.06  
% 0.69/1.06  Sos:
% 0.69/1.06  0 (wt=-1) [] response(compose(A,B),C) = response(A,response(B,C)).
% 0.69/1.06  0 (wt=-1) [] -(response(A,f(A)) = response(a,response(b,response(c,f(A))))).
% 0.69/1.06  end_of_list.
% 0.69/1.06  
% 0.69/1.06  Demodulators:
% 0.69/1.06  end_of_list.
% 0.69/1.06  
% 0.69/1.06  Passive:
% 0.69/1.06  end_of_list.
% 0.69/1.06  
% 0.69/1.06  Starting to process input.
% 0.69/1.06  
% 0.69/1.06  ** KEPT: 1 (wt=11) [] response(compose(A,B),C) = response(A,response(B,C)).
% 0.69/1.06  1 is a new demodulator.
% 0.69/1.06  
% 0.69/1.06  ** KEPT: 2 (wt=13) [] -(response(A,f(A)) = response(a,response(b,response(c,f(A))))).
% 0.69/1.06  
% 0.69/1.06  ** KEPT: 3 (wt=13) [flip(2)] -(response(a,response(b,response(c,f(A)))) = response(A,f(A))).
% 0.69/1.06  clause forward subsumed: 0 (wt=13) [flip(3)] -(response(A,f(A)) = response(a,response(b,response(c,f(A))))).
% 0.69/1.06  ---------------- PROOF FOUND ----------------
% 0.69/1.06  % SZS status Unsatisfiable
% 0.69/1.06  
% 0.69/1.06  
% 0.69/1.06  After processing input:
% 0.69/1.06  
% 0.69/1.06  Usable:
% 0.69/1.06  end_of_list.
% 0.69/1.06  
% 0.69/1.06  Sos:
% 0.69/1.06  1 (wt=11) [] response(compose(A,B),C) = response(A,response(B,C)).
% 0.69/1.06  2 (wt=13) [] -(response(A,f(A)) = response(a,response(b,response(c,f(A))))).
% 0.69/1.06  3 (wt=13) [flip(2)] -(response(a,response(b,response(c,f(A)))) = response(A,f(A))).
% 0.69/1.06  end_of_list.
% 0.69/1.06  
% 0.69/1.06  Demodulators:
% 0.69/1.06  1 (wt=11) [] response(compose(A,B),C) = response(A,response(B,C)).
% 0.69/1.06  end_of_list.
% 0.69/1.06  
% 0.69/1.06  Passive:
% 0.69/1.06  end_of_list.
% 0.69/1.06  
% 0.69/1.06  UNIT CONFLICT from 4 and 1 at   0.00 seconds.
% 0.69/1.06  
% 0.69/1.06  ---------------- PROOF ----------------
% 0.69/1.06  % SZS output start Refutation
% See solution above
% 0.69/1.06  ------------ end of proof -------------
% 0.69/1.06  
% 0.69/1.06  
% 0.69/1.06  ------------- memory usage ------------
% 0.69/1.06  Memory dynamically allocated (tp_alloc): 488.
% 0.69/1.06    type (bytes each)        gets      frees     in use      avail      bytes
% 0.69/1.06  sym_ent (  96)               58          0         58          0      5.4 K
% 0.69/1.06  term (  16)                 412        352         60         20      1.5 K
% 0.69/1.06  gen_ptr (   8)              169         45        124          3      1.0 K
% 0.69/1.06  context ( 808)               86         84          2          2      3.2 K
% 0.69/1.06  trail (  12)                 12         12          0          5      0.1 K
% 0.69/1.06  bt_node (  68)               22         19          3          5      0.5 K
% 0.69/1.06  ac_position (285432)          0          0          0          0      0.0 K
% 0.69/1.06  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.69/1.06  ac_match_free_vars_pos (4020)
% 0.69/1.06                                0          0          0          0      0.0 K
% 0.69/1.06  discrim (  12)               43          0         43          0      0.5 K
% 0.69/1.06  flat (  40)                 116        116          0         13      0.5 K
% 0.69/1.06  discrim_pos (  12)            1          1          0          1      0.0 K
% 0.69/1.06  fpa_head (  12)              64          0         64          0      0.8 K
% 0.69/1.06  fpa_tree (  28)              15         15          0          7      0.2 K
% 0.69/1.06  fpa_pos (  36)                5          5          0          1      0.0 K
% 0.69/1.06  literal (  12)                7          3          4          0      0.0 K
% 0.69/1.06  clause (  24)                 7          3          4          0      0.1 K
% 0.69/1.06  list (  12)                  60          4         56          3      0.7 K
% 0.69/1.06  list_pos (  20)              12          2         10          0      0.2 K
% 0.69/1.06  pair_index (   40)              2          0          2          0      0.1 K
% 0.69/1.06  
% 0.69/1.06  -------------- statistics -------------
% 0.69/1.06  Clauses input                  2
% 0.69/1.06    Usable input                   0
% 0.69/1.06    Sos input                      2
% 0.69/1.06    Demodulators input             0
% 0.69/1.06    Passive input                  0
% 0.69/1.06  
% 0.69/1.06  Processed BS (before search)   4
% 0.69/1.06  Forward subsumed BS            1
% 0.69/1.06  Kept BS                        3
% 0.69/1.06  New demodulators BS            1
% 0.69/1.06  Back demodulated BS            0
% 0.69/1.06  
% 0.69/1.06  Clauses or pairs given         2
% 0.69/1.06  Clauses generated              2
% 0.69/1.06  Forward subsumed               1
% 0.69/1.06  Deleted by weight              0
% 0.69/1.06  Deleted by variable count      0
% 0.69/1.06  Kept                           1
% 0.69/1.06  New demodulators               0
% 0.69/1.06  Back demodulated               0
% 0.69/1.06  Ordered paramod prunes         0
% 0.69/1.06  Basic paramod prunes           0
% 0.69/1.06  Prime paramod prunes           0
% 0.69/1.06  Semantic prunes                0
% 0.69/1.06  
% 0.69/1.06  Rewrite attmepts              53
% 0.69/1.06  Rewrites                       0
% 0.69/1.06  
% 0.69/1.06  FPA overloads                  0
% 0.69/1.06  FPA underloads                 0
% 0.69/1.06  
% 0.69/1.06  Usable size                    0
% 0.69/1.06  Sos size                       3
% 0.69/1.06  Demodulators size              1
% 0.69/1.06  Passive size                   0
% 0.69/1.06  Disabled size                  0
% 0.69/1.06  
% 0.69/1.06  Proofs found                   1
% 0.69/1.06  
% 0.69/1.06  ----------- times (seconds) ----------- Tue May 31 04:38:26 2022
% 0.69/1.06  
% 0.69/1.06  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.69/1.06  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.69/1.06  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.69/1.06  input time                0.00
% 0.69/1.06  paramodulation time       0.00
% 0.69/1.06  demodulation time         0.00
% 0.69/1.06  orient time               0.00
% 0.69/1.06  weigh time                0.00
% 0.69/1.06  forward subsume time      0.00
% 0.69/1.06  back demod find time      0.00
% 0.69/1.06  conflict time             0.00
% 0.69/1.06  LRPO time                 0.00
% 0.69/1.06  store clause time         0.00
% 0.69/1.06  disable clause time       0.00
% 0.69/1.06  prime paramod time        0.00
% 0.69/1.06  semantics time            0.00
% 0.69/1.06  
% 0.69/1.06  EQP interrupted
%------------------------------------------------------------------------------