TSTP Solution File: COL016-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : COL016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n022.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 00:23:11 EDT 2022

% Result   : Unsatisfiable 0.45s 1.08s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% 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    :    4 (   2 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   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
    file('COL016-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(apply(apply(l,A),B),apply(A,apply(B,B))),
    file('COL016-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(apply(A,apply(B,B)),apply(apply(l,A),B)),
    inference(flip,[status(thm),theory(equality)],[2]),
    [iquote('flip(2)')] ).

cnf(6,plain,
    ~ equal(apply(combinator,A),A),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(7,plain,
    $false,
    inference(conflict,[status(thm)],[6,3]),
    [iquote('conflict(6,3)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.33  % Computer : n022.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 14:10:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.45/1.08  ----- EQP 0.9e, May 2009 -----
% 0.45/1.08  The job began on n022.cluster.edu, Tue May 31 14:10:23 2022
% 0.45/1.08  The command was "./eqp09e".
% 0.45/1.08  
% 0.45/1.08  set(prolog_style_variables).
% 0.45/1.08  set(lrpo).
% 0.45/1.08  set(basic_paramod).
% 0.45/1.08  set(functional_subsume).
% 0.45/1.08  set(ordered_paramod).
% 0.45/1.08  set(prime_paramod).
% 0.45/1.08  set(para_pairs).
% 0.45/1.08  assign(pick_given_ratio,4).
% 0.45/1.08  clear(print_kept).
% 0.45/1.08  clear(print_new_demod).
% 0.45/1.08  clear(print_back_demod).
% 0.45/1.08  clear(print_given).
% 0.45/1.08  assign(max_mem,64000).
% 0.45/1.08  end_of_commands.
% 0.45/1.08  
% 0.45/1.08  Usable:
% 0.45/1.08  end_of_list.
% 0.45/1.08  
% 0.45/1.08  Sos:
% 0.45/1.08  0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.45/1.08  0 (wt=-1) [] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.45/1.08  0 (wt=-1) [] apply(m,A) = apply(A,A).
% 0.45/1.08  0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.45/1.08  end_of_list.
% 0.45/1.08  
% 0.45/1.08  Demodulators:
% 0.45/1.08  end_of_list.
% 0.45/1.08  
% 0.45/1.08  Passive:
% 0.45/1.08  end_of_list.
% 0.45/1.08  
% 0.45/1.08  Starting to process input.
% 0.45/1.08  
% 0.45/1.08  ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.45/1.08  1 is a new demodulator.
% 0.45/1.08  
% 0.45/1.08  ** KEPT: 2 (wt=11) [] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.45/1.08  
% 0.45/1.08  ** KEPT: 3 (wt=11) [flip(2)] apply(A,apply(B,B)) = apply(apply(l,A),B).
% 0.45/1.08  clause forward subsumed: 0 (wt=11) [flip(3)] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.45/1.08  
% 0.45/1.08  ** KEPT: 4 (wt=7) [] apply(m,A) = apply(A,A).
% 0.45/1.08  
% 0.45/1.08  ** KEPT: 5 (wt=7) [flip(4)] apply(A,A) = apply(m,A).
% 0.45/1.08  clause forward subsumed: 0 (wt=7) [flip(5)] apply(m,A) = apply(A,A).
% 0.45/1.08  
% 0.45/1.08  ** KEPT: 6 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.45/1.08  ---------------- PROOF FOUND ----------------
% 0.45/1.08  % SZS status Unsatisfiable
% 0.45/1.08  
% 0.45/1.08  
% 0.45/1.08  UNIT CONFLICT from 6 and 3 at   0.00 seconds.
% 0.45/1.08  
% 0.45/1.08  ---------------- PROOF ----------------
% 0.45/1.08  % SZS output start Refutation
% See solution above
% 0.45/1.08  ------------ end of proof -------------
% 0.45/1.08  
% 0.45/1.08  
% 0.45/1.08  ------------- memory usage ------------
% 0.45/1.08  Memory dynamically allocated (tp_alloc): 488.
% 0.45/1.08    type (bytes each)        gets      frees     in use      avail      bytes
% 0.45/1.08  sym_ent (  96)               56          0         56          0      5.2 K
% 0.45/1.08  term (  16)                 392        334         58         16      1.4 K
% 0.45/1.08  gen_ptr (   8)              192         53        139          4      1.1 K
% 0.45/1.08  context ( 808)               65         65          0          2      1.6 K
% 0.45/1.08  trail (  12)                  8          8          0          3      0.0 K
% 0.45/1.08  bt_node (  68)                1          1          0          1      0.1 K
% 0.45/1.08  ac_position (285432)          0          0          0          0      0.0 K
% 0.45/1.08  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.45/1.08  ac_match_free_vars_pos (4020)
% 0.45/1.08                                0          0          0          0      0.0 K
% 0.45/1.08  discrim (  12)               49          0         49          0      0.6 K
% 0.45/1.08  flat (  40)                 123        123          0         11      0.4 K
% 0.45/1.08  discrim_pos (  12)            2          2          0          1      0.0 K
% 0.45/1.08  fpa_head (  12)              43          0         43          0      0.5 K
% 0.45/1.08  fpa_tree (  28)               2          2          0          1      0.0 K
% 0.45/1.08  fpa_pos (  36)                7          7          0          1      0.0 K
% 0.45/1.08  literal (  12)               17         11          6          2      0.1 K
% 0.45/1.08  clause (  24)                17         11          6          2      0.2 K
% 0.45/1.08  list (  12)                  60          2         58          1      0.7 K
% 0.45/1.08  list_pos (  20)              20          4         16          1      0.3 K
% 0.45/1.08  pair_index (   40)              2          0          2          0      0.1 K
% 0.45/1.08  
% 0.45/1.08  -------------- statistics -------------
% 0.45/1.08  Clauses input                  4
% 0.45/1.08    Usable input                   0
% 0.45/1.08    Sos input                      4
% 0.45/1.08    Demodulators input             0
% 0.45/1.08    Passive input                  0
% 0.45/1.08  
% 0.45/1.08  Processed BS (before search)   8
% 0.45/1.08  Forward subsumed BS            2
% 0.45/1.08  Kept BS                        6
% 0.45/1.08  New demodulators BS            1
% 0.45/1.08  Back demodulated BS            0
% 0.45/1.08  
% 0.45/1.08  Clauses or pairs given         0
% 0.45/1.08  Clauses generated              0
% 0.45/1.08  Forward subsumed               0
% 0.45/1.08  Deleted by weight              0
% 0.45/1.08  Deleted by variable count      0
% 0.45/1.08  Kept                           0
% 0.45/1.08  New demodulators               0
% 0.45/1.08  Back demodulated               0
% 0.45/1.08  Ordered paramod prunes         0
% 0.45/1.08  Basic paramod prunes           0
% 0.45/1.08  Prime paramod prunes           0
% 0.45/1.08  Semantic prunes                0
% 0.45/1.08  
% 0.45/1.08  Rewrite attmepts              40
% 0.45/1.08  Rewrites                       0
% 0.45/1.08  
% 0.45/1.08  FPA overloads                  0
% 0.45/1.08  FPA underloads                 0
% 0.45/1.08  
% 0.45/1.08  Usable size                    0
% 0.45/1.08  Sos size                       5
% 0.45/1.08  Demodulators size              1
% 0.45/1.08  Passive size                   0
% 0.45/1.08  Disabled size                  0
% 0.45/1.08  
% 0.45/1.08  Proofs found                   1
% 0.45/1.08  
% 0.45/1.08  ----------- times (seconds) ----------- Tue May 31 14:10:23 2022
% 0.45/1.08  
% 0.45/1.08  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.45/1.08  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.45/1.08  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.45/1.08  input time                0.00
% 0.45/1.08  paramodulation time       0.00
% 0.45/1.08  demodulation time         0.00
% 0.45/1.08  orient time               0.00
% 0.45/1.08  weigh time                0.00
% 0.45/1.08  forward subsume time      0.00
% 0.45/1.08  back demod find time      0.00
% 0.45/1.08  conflict time             0.00
% 0.45/1.08  LRPO time                 0.00
% 0.45/1.08  store clause time         0.00
% 0.45/1.08  disable clause time       0.00
% 0.45/1.08  prime paramod time        0.00
% 0.45/1.08  semantics time            0.00
% 0.45/1.08  
% 0.45/1.08  EQP interrupted
%------------------------------------------------------------------------------