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

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%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : COL058-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n027.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 00:23:18 EDT 2022

% Result   : Unsatisfiable 0.68s 1.13s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;   4 RR)
%            Number of literals    :   10 (   0 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   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   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(response(response(lark,A),B),response(A,response(B,B))),
    file('COL058-2.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(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
    file('COL058-2.p',unknown),
    [] ).

cnf(4,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(13,plain,
    ~ equal(response(response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
    inference(para,[status(thm),theory(equality)],[1,3]),
    [iquote('para(1,3)')] ).

cnf(16,plain,
    equal(response(response(response(lark,response(lark,lark)),A),B),response(response(response(A,A),response(A,A)),response(B,B))),
    inference(para,[status(thm),theory(equality)],[2,4]),
    [iquote('para(2,4)')] ).

cnf(212,plain,
    equal(response(response(lark,response(response(lark,response(lark,lark)),A)),B),response(response(response(A,A),response(A,A)),response(response(B,B),response(B,B)))),
    inference(para,[status(thm),theory(equality)],[2,16]),
    [iquote('para(2,16)')] ).

cnf(213,plain,
    equal(response(response(response(A,A),response(A,A)),response(response(B,B),response(B,B))),response(response(lark,response(response(lark,response(lark,lark)),A)),B)),
    inference(flip,[status(thm),theory(equality)],[212]),
    [iquote('flip(212)')] ).

cnf(395,plain,
    ~ equal(response(response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
    inference(para,[status(thm),theory(equality)],[1,13]),
    [iquote('para(1,13)')] ).

cnf(396,plain,
    $false,
    inference(conflict,[status(thm)],[395,213]),
    [iquote('conflict(395,213)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : COL058-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.09/0.32  % Computer : n027.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 600
% 0.09/0.32  % DateTime : Tue May 31 13:42:17 EDT 2022
% 0.09/0.32  % CPUTime  : 
% 0.68/1.13  ----- EQP 0.9e, May 2009 -----
% 0.68/1.13  The job began on n027.cluster.edu, Tue May 31 13:42:18 2022
% 0.68/1.13  The command was "./eqp09e".
% 0.68/1.13  
% 0.68/1.13  set(prolog_style_variables).
% 0.68/1.13  set(lrpo).
% 0.68/1.13  set(basic_paramod).
% 0.68/1.13  set(functional_subsume).
% 0.68/1.13  set(ordered_paramod).
% 0.68/1.13  set(prime_paramod).
% 0.68/1.13  set(para_pairs).
% 0.68/1.13  assign(pick_given_ratio,4).
% 0.68/1.13  clear(print_kept).
% 0.68/1.13  clear(print_new_demod).
% 0.68/1.13  clear(print_back_demod).
% 0.68/1.13  clear(print_given).
% 0.68/1.13  assign(max_mem,64000).
% 0.68/1.13  end_of_commands.
% 0.68/1.13  
% 0.68/1.13  Usable:
% 0.68/1.13  end_of_list.
% 0.68/1.13  
% 0.68/1.13  Sos:
% 0.68/1.13  0 (wt=-1) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.68/1.13  0 (wt=-1) [] -(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))).
% 0.68/1.13  end_of_list.
% 0.68/1.13  
% 0.68/1.13  Demodulators:
% 0.68/1.13  end_of_list.
% 0.68/1.13  
% 0.68/1.13  Passive:
% 0.68/1.13  end_of_list.
% 0.68/1.13  
% 0.68/1.13  Starting to process input.
% 0.68/1.13  
% 0.68/1.13  ** KEPT: 1 (wt=11) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.68/1.13  
% 0.68/1.13  ** KEPT: 2 (wt=11) [flip(1)] response(A,response(B,B)) = response(response(lark,A),B).
% 0.68/1.13  clause forward subsumed: 0 (wt=11) [flip(2)] response(response(lark,A),B) = response(A,response(B,B)).
% 0.68/1.13  
% 0.68/1.13  ** KEPT: 3 (wt=59) [] -(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))).
% 0.68/1.13  ---------------- PROOF FOUND ----------------
% 0.68/1.13  % SZS status Unsatisfiable
% 0.68/1.13  
% 0.68/1.13  
% 0.68/1.13  After processing input:
% 0.68/1.13  
% 0.68/1.13  Usable:
% 0.68/1.13  end_of_list.
% 0.68/1.13  
% 0.68/1.13  Sos:
% 0.68/1.13  1 (wt=11) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.68/1.13  2 (wt=11) [flip(1)] response(A,response(B,B)) = response(response(lark,A),B).
% 0.68/1.13  3 (wt=59) [] -(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))).
% 0.68/1.13  end_of_list.
% 0.68/1.13  
% 0.68/1.13  Demodulators:
% 0.68/1.13  end_of_list.
% 0.68/1.13  
% 0.68/1.13  Passive:
% 0.68/1.13  end_of_list.
% 0.68/1.13  
% 0.68/1.13  UNIT CONFLICT from 395 and 213 at   0.03 seconds.
% 0.68/1.13  
% 0.68/1.13  ---------------- PROOF ----------------
% 0.68/1.13  % SZS output start Refutation
% See solution above
% 0.68/1.13  ------------ end of proof -------------
% 0.68/1.13  
% 0.68/1.13  
% 0.68/1.13  ------------- memory usage ------------
% 0.68/1.13  Memory dynamically allocated (tp_alloc): 1464.
% 0.68/1.13    type (bytes each)        gets      frees     in use      avail      bytes
% 0.68/1.13  sym_ent (  96)               52          0         52          0      4.9 K
% 0.68/1.13  term (  16)               30376      17571      12805         68    249.9 K
% 0.68/1.13  gen_ptr (   8)            65248       2707      62541          9    488.7 K
% 0.68/1.13  context ( 808)            26007      26005          2          2      3.2 K
% 0.68/1.13  trail (  12)                420        420          0          2      0.0 K
% 0.68/1.13  bt_node (  68)             5531       5526          5         11      1.1 K
% 0.68/1.13  ac_position (285432)          0          0          0          0      0.0 K
% 0.68/1.13  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.68/1.13  ac_match_free_vars_pos (4020)
% 0.68/1.13                                0          0          0          0      0.0 K
% 0.68/1.13  discrim (  12)             7896        780       7116          0     83.4 K
% 0.68/1.13  flat (  40)               80730      80730          0         79      3.1 K
% 0.68/1.13  discrim_pos (  12)          486        486          0          1      0.0 K
% 0.68/1.13  fpa_head (  12)            1138          0       1138          0     13.3 K
% 0.68/1.13  fpa_tree (  28)            5837       5837          0        179      4.9 K
% 0.68/1.13  fpa_pos (  36)              427        427          0          1      0.0 K
% 0.68/1.13  literal (  12)             1510       1115        395          0      4.6 K
% 0.68/1.13  clause (  24)              1510       1115        395          0      9.3 K
% 0.68/1.13  list (  12)                  91         35         56          3      0.7 K
% 0.68/1.13  list_pos (  20)            1286        147       1139          0     22.2 K
% 0.68/1.13  pair_index (   40)              2          0          2          0      0.1 K
% 0.68/1.13  
% 0.68/1.13  -------------- statistics -------------
% 0.68/1.13  Clauses input                  2
% 0.68/1.13    Usable input                   0
% 0.68/1.13    Sos input                      2
% 0.68/1.13    Demodulators input             0
% 0.68/1.13    Passive input                  0
% 0.68/1.13  
% 0.68/1.13  Processed BS (before search)   4
% 0.68/1.13  Forward subsumed BS            1
% 0.68/1.13  Kept BS                        3
% 0.68/1.13  New demodulators BS            0
% 0.68/1.13  Back demodulated BS            0
% 0.68/1.13  
% 0.68/1.13  Clauses or pairs given       230
% 0.68/1.13  Clauses generated            765
% 0.68/1.13  Forward subsumed             373
% 0.68/1.13  Deleted by weight              0
% 0.68/1.13  Deleted by variable count      0
% 0.68/1.13  Kept                         392
% 0.68/1.13  New demodulators              32
% 0.68/1.13  Back demodulated              35
% 0.68/1.13  Ordered paramod prunes         0
% 0.68/1.13  Basic paramod prunes         757
% 0.68/1.13  Prime paramod prunes          10
% 0.68/1.13  Semantic prunes                0
% 0.68/1.13  
% 0.68/1.13  Rewrite attmepts           18615
% 0.68/1.13  Rewrites                     137
% 0.68/1.13  
% 0.68/1.13  FPA overloads                  0
% 0.68/1.13  FPA underloads                 0
% 0.68/1.13  
% 0.68/1.13  Usable size                    0
% 0.68/1.13  Sos size                     359
% 0.68/1.13  Demodulators size             27
% 0.68/1.13  Passive size                   0
% 0.68/1.13  Disabled size                 35
% 0.68/1.13  
% 0.68/1.13  Proofs found                   1
% 0.68/1.13  
% 0.68/1.13  ----------- times (seconds) ----------- Tue May 31 13:42:18 2022
% 0.68/1.13  
% 0.68/1.13  user CPU time             0.03   (0 hr, 0 min, 0 sec)
% 0.68/1.13  system CPU time           0.01   (0 hr, 0 min, 0 sec)
% 0.68/1.13  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.68/1.13  input time                0.00
% 0.68/1.13  paramodulation time       0.00
% 0.68/1.13  demodulation time         0.00
% 0.68/1.13  orient time               0.00
% 0.68/1.13  weigh time                0.00
% 0.68/1.13  forward subsume time      0.00
% 0.68/1.13  back demod find time      0.00
% 0.68/1.13  conflict time             0.01
% 0.68/1.13  LRPO time                 0.00
% 0.68/1.13  store clause time         0.01
% 0.68/1.13  disable clause time       0.00
% 0.68/1.13  prime paramod time        0.00
% 0.68/1.13  semantics time            0.00
% 0.68/1.13  
% 0.68/1.13  EQP interrupted
%------------------------------------------------------------------------------