TSTP Solution File: COL019-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : COL019-1 : 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 00:23:12 EDT 2022

% Result   : Unsatisfiable 0.82s 1.16s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   3 RR)
%            Number of literals    :   11 (   0 equ;   2 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
    file('COL019-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
    file('COL019-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(apply(apply(t,A),B),apply(B,A)),
    file('COL019-1.p',unknown),
    [] ).

cnf(5,plain,
    equal(apply(A,B),apply(apply(t,B),A)),
    inference(flip,[status(thm),theory(equality)],[4]),
    [iquote('flip(4)')] ).

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

cnf(48,plain,
    equal(apply(apply(apply(t,A),apply(s,B)),C),apply(apply(B,C),apply(A,C))),
    inference(para,[status(thm),theory(equality)],[5,1]),
    [iquote('para(5,1)')] ).

cnf(49,plain,
    equal(apply(apply(A,B),apply(C,B)),apply(apply(apply(t,C),apply(s,A)),B)),
    inference(flip,[status(thm),theory(equality)],[48]),
    [iquote('flip(48)')] ).

cnf(60,plain,
    equal(apply(apply(t,A),apply(apply(b,B),C)),apply(B,apply(C,A))),
    inference(para,[status(thm),theory(equality)],[5,3]),
    [iquote('para(5,3)')] ).

cnf(61,plain,
    equal(apply(A,apply(B,C)),apply(apply(t,C),apply(apply(b,A),B))),
    inference(flip,[status(thm),theory(equality)],[60]),
    [iquote('flip(60)')] ).

cnf(79,plain,
    ~ equal(apply(apply(t,A),apply(apply(b,combinator),B)),apply(B,A)),
    inference(para,[status(thm),theory(equality)],[61,6]),
    [iquote('para(61,6)')] ).

cnf(80,plain,
    $false,
    inference(conflict,[status(thm)],[79,49]),
    [iquote('conflict(79,49)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 14:45:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.82/1.16  ----- EQP 0.9e, May 2009 -----
% 0.82/1.16  The job began on n020.cluster.edu, Tue May 31 14:45:39 2022
% 0.82/1.16  The command was "./eqp09e".
% 0.82/1.16  
% 0.82/1.16  set(prolog_style_variables).
% 0.82/1.16  set(lrpo).
% 0.82/1.16  set(basic_paramod).
% 0.82/1.16  set(functional_subsume).
% 0.82/1.16  set(ordered_paramod).
% 0.82/1.16  set(prime_paramod).
% 0.82/1.16  set(para_pairs).
% 0.82/1.16  assign(pick_given_ratio,4).
% 0.82/1.16  clear(print_kept).
% 0.82/1.16  clear(print_new_demod).
% 0.82/1.16  clear(print_back_demod).
% 0.82/1.16  clear(print_given).
% 0.82/1.16  assign(max_mem,64000).
% 0.82/1.16  end_of_commands.
% 0.82/1.16  
% 0.82/1.16  Usable:
% 0.82/1.16  end_of_list.
% 0.82/1.16  
% 0.82/1.16  Sos:
% 0.82/1.16  0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.82/1.16  0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.82/1.16  0 (wt=-1) [] apply(apply(t,A),B) = apply(B,A).
% 0.82/1.16  0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.82/1.16  end_of_list.
% 0.82/1.16  
% 0.82/1.16  Demodulators:
% 0.82/1.16  end_of_list.
% 0.82/1.16  
% 0.82/1.16  Passive:
% 0.82/1.16  end_of_list.
% 0.82/1.16  
% 0.82/1.16  Starting to process input.
% 0.82/1.16  
% 0.82/1.16  ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.82/1.16  
% 0.82/1.16  ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.82/1.16  clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.82/1.16  
% 0.82/1.16  ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.82/1.16  3 is a new demodulator.
% 0.82/1.16  
% 0.82/1.16  ** KEPT: 4 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.82/1.16  
% 0.82/1.16  ** KEPT: 5 (wt=9) [flip(4)] apply(A,B) = apply(apply(t,B),A).
% 0.82/1.16  clause forward subsumed: 0 (wt=9) [flip(5)] apply(apply(t,B),A) = apply(A,B).
% 0.82/1.16  
% 0.82/1.16  ** KEPT: 6 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.82/1.16  ---------------- PROOF FOUND ----------------
% 0.82/1.16  % SZS status Unsatisfiable
% 0.82/1.16  
% 0.82/1.16  
% 0.82/1.16  After processing input:
% 0.82/1.16  
% 0.82/1.16  Usable:
% 0.82/1.16  end_of_list.
% 0.82/1.16  
% 0.82/1.16  Sos:
% 0.82/1.16  6 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.82/1.16  4 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.82/1.16  5 (wt=9) [flip(4)] apply(A,B) = apply(apply(t,B),A).
% 0.82/1.16  3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.82/1.16  1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.82/1.16  2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.82/1.16  end_of_list.
% 0.82/1.16  
% 0.82/1.16  Demodulators:
% 0.82/1.16  3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.82/1.16  end_of_list.
% 0.82/1.16  
% 0.82/1.16  Passive:
% 0.82/1.16  end_of_list.
% 0.82/1.16  
% 0.82/1.16  UNIT CONFLICT from 79 and 49 at   0.00 seconds.
% 0.82/1.16  
% 0.82/1.16  ---------------- PROOF ----------------
% 0.82/1.16  % SZS output start Refutation
% See solution above
% 0.82/1.16  ------------ end of proof -------------
% 0.82/1.16  
% 0.82/1.16  
% 0.82/1.16  ------------- memory usage ------------
% 0.82/1.16  Memory dynamically allocated (tp_alloc): 488.
% 0.82/1.16    type (bytes each)        gets      frees     in use      avail      bytes
% 0.82/1.16  sym_ent (  96)               56          0         56          0      5.2 K
% 0.82/1.16  term (  16)                3443       2100       1343         18     26.3 K
% 0.82/1.16  gen_ptr (   8)             5229        275       4954         10     38.8 K
% 0.82/1.16  context ( 808)             2504       2502          2          2      3.2 K
% 0.82/1.16  trail (  12)                233        233          0          6      0.1 K
% 0.82/1.16  bt_node (  68)              751        748          3          4      0.5 K
% 0.82/1.16  ac_position (285432)          0          0          0          0      0.0 K
% 0.82/1.16  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.82/1.16  ac_match_free_vars_pos (4020)
% 0.82/1.16                                0          0          0          0      0.0 K
% 0.82/1.16  discrim (  12)              895         11        884          0     10.4 K
% 0.82/1.16  flat (  40)                7026       7026          0         27      1.1 K
% 0.82/1.16  discrim_pos (  12)           68         68          0          1      0.0 K
% 0.82/1.16  fpa_head (  12)             317          0        317          0      3.7 K
% 0.82/1.16  fpa_tree (  28)             526        526          0         25      0.7 K
% 0.82/1.16  fpa_pos (  36)               86         86          0          1      0.0 K
% 0.82/1.16  literal (  12)              245        166         79          1      0.9 K
% 0.82/1.16  clause (  24)               245        166         79          1      1.9 K
% 0.82/1.16  list (  12)                  66         10         56          3      0.7 K
% 0.82/1.16  list_pos (  20)             249         12        237          0      4.6 K
% 0.82/1.16  pair_index (   40)              2          0          2          0      0.1 K
% 0.82/1.16  
% 0.82/1.16  -------------- statistics -------------
% 0.82/1.16  Clauses input                  4
% 0.82/1.16    Usable input                   0
% 0.82/1.16    Sos input                      4
% 0.82/1.16    Demodulators input             0
% 0.82/1.16    Passive input                  0
% 0.82/1.16  
% 0.82/1.16  Processed BS (before search)   8
% 0.82/1.16  Forward subsumed BS            2
% 0.82/1.16  Kept BS                        6
% 0.82/1.16  New demodulators BS            1
% 0.82/1.16  Back demodulated BS            0
% 0.82/1.16  
% 0.82/1.16  Clauses or pairs given       113
% 0.82/1.16  Clauses generated            134
% 0.82/1.16  Forward subsumed              61
% 0.82/1.16  Deleted by weight              0
% 0.82/1.16  Deleted by variable count      0
% 0.82/1.16  Kept                          73
% 0.82/1.16  New demodulators               6
% 0.82/1.16  Back demodulated               2
% 0.82/1.16  Ordered paramod prunes         0
% 0.82/1.16  Basic paramod prunes          78
% 0.82/1.16  Prime paramod prunes           0
% 0.82/1.16  Semantic prunes                0
% 0.82/1.16  
% 0.82/1.16  Rewrite attmepts            1479
% 0.82/1.16  Rewrites                      11
% 0.82/1.16  
% 0.82/1.16  FPA overloads                  0
% 0.82/1.16  FPA underloads                 0
% 0.82/1.16  
% 0.82/1.16  Usable size                    0
% 0.82/1.16  Sos size                      76
% 0.82/1.16  Demodulators size              7
% 0.82/1.16  Passive size                   0
% 0.82/1.16  Disabled size                  2
% 0.82/1.16  
% 0.82/1.16  Proofs found                   1
% 0.82/1.16  
% 0.82/1.16  ----------- times (seconds) ----------- Tue May 31 14:45:39 2022
% 0.82/1.16  
% 0.82/1.16  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.82/1.16  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.82/1.16  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.82/1.16  input time                0.00
% 0.82/1.16  paramodulation time       0.00
% 0.82/1.16  demodulation time         0.00
% 0.82/1.16  orient time               0.00
% 0.82/1.16  weigh time                0.00
% 0.82/1.16  forward subsume time      0.00
% 0.82/1.16  back demod find time      0.00
% 0.82/1.16  conflict time             0.00
% 0.82/1.16  LRPO time                 0.00
% 0.82/1.16  store clause time         0.00
% 0.82/1.16  disable clause time       0.00
% 0.82/1.16  prime paramod time        0.00
% 0.82/1.16  semantics time            0.00
% 0.82/1.16  
% 0.82/1.16  EQP interrupted
%------------------------------------------------------------------------------