TSTP Solution File: ROB013-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : ROB013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n018.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 : Mon Jul 18 20:51:38 EDT 2022

% Result   : Unsatisfiable 0.47s 1.08s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(add(A,B),add(B,A)),
    file('ROB013-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(negate(add(negate(add(A,B)),negate(add(A,negate(B))))),A),
    file('ROB013-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(negate(add(a,b)),c),
    file('ROB013-1.p',unknown),
    [] ).

cnf(5,plain,
    ~ equal(negate(add(c,negate(add(negate(b),a)))),a),
    file('ROB013-1.p',unknown),
    [] ).

cnf(7,plain,
    ~ equal(negate(add(c,negate(add(a,negate(b))))),a),
    inference(para,[status(thm),theory(equality)],[1,5]),
    [iquote('para(1,5)')] ).

cnf(20,plain,
    equal(negate(add(c,negate(add(a,negate(b))))),a),
    inference(para,[status(thm),theory(equality)],[4,3]),
    [iquote('para(4,3)')] ).

cnf(21,plain,
    $false,
    inference(conflict,[status(thm)],[20,7]),
    [iquote('conflict(20,7)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ROB013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 13:39:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.47/1.08  ----- EQP 0.9e, May 2009 -----
% 0.47/1.08  The job began on n018.cluster.edu, Thu Jun  9 13:39:54 2022
% 0.47/1.08  The command was "./eqp09e".
% 0.47/1.08  
% 0.47/1.08  set(prolog_style_variables).
% 0.47/1.08  set(lrpo).
% 0.47/1.08  set(basic_paramod).
% 0.47/1.08  set(functional_subsume).
% 0.47/1.08  set(ordered_paramod).
% 0.47/1.08  set(prime_paramod).
% 0.47/1.08  set(para_pairs).
% 0.47/1.08  assign(pick_given_ratio,4).
% 0.47/1.08  clear(print_kept).
% 0.47/1.08  clear(print_new_demod).
% 0.47/1.08  clear(print_back_demod).
% 0.47/1.08  clear(print_given).
% 0.47/1.08  assign(max_mem,64000).
% 0.47/1.08  end_of_commands.
% 0.47/1.08  
% 0.47/1.08  Usable:
% 0.47/1.08  end_of_list.
% 0.47/1.08  
% 0.47/1.08  Sos:
% 0.47/1.08  0 (wt=-1) [] add(A,B) = add(B,A).
% 0.47/1.08  0 (wt=-1) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.47/1.08  0 (wt=-1) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.47/1.08  0 (wt=-1) [] negate(add(a,b)) = c.
% 0.47/1.08  0 (wt=-1) [] -(negate(add(c,negate(add(negate(b),a)))) = a).
% 0.47/1.08  end_of_list.
% 0.47/1.08  
% 0.47/1.08  Demodulators:
% 0.47/1.08  end_of_list.
% 0.47/1.08  
% 0.47/1.08  Passive:
% 0.47/1.08  end_of_list.
% 0.47/1.08  
% 0.47/1.08  Starting to process input.
% 0.47/1.08  
% 0.47/1.08  ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 0.47/1.08  clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 0.47/1.08  
% 0.47/1.08  ** KEPT: 2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.47/1.08  2 is a new demodulator.
% 0.47/1.08  
% 0.47/1.08  ** KEPT: 3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.47/1.08  3 is a new demodulator.
% 0.47/1.08  
% 0.47/1.08  ** KEPT: 4 (wt=6) [] negate(add(a,b)) = c.
% 0.47/1.08  4 is a new demodulator.
% 0.47/1.08  
% 0.47/1.08  ** KEPT: 5 (wt=10) [] -(negate(add(c,negate(add(negate(b),a)))) = a).
% 0.47/1.08  ---------------- PROOF FOUND ----------------
% 0.47/1.08  % SZS status Unsatisfiable
% 0.47/1.08  
% 0.47/1.08  
% 0.47/1.08  After processing input:
% 0.47/1.08  
% 0.47/1.08  Usable:
% 0.47/1.08  end_of_list.
% 0.47/1.08  
% 0.47/1.08  Sos:
% 0.47/1.08  4 (wt=6) [] negate(add(a,b)) = c.
% 0.47/1.08  1 (wt=7) [] add(A,B) = add(B,A).
% 0.47/1.08  5 (wt=10) [] -(negate(add(c,negate(add(negate(b),a)))) = a).
% 0.47/1.08  2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.47/1.08  3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.47/1.08  end_of_list.
% 0.47/1.08  
% 0.47/1.08  Demodulators:
% 0.47/1.08  2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.47/1.08  3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.47/1.08  4 (wt=6) [] negate(add(a,b)) = c.
% 0.47/1.08  end_of_list.
% 0.47/1.08  
% 0.47/1.08  Passive:
% 0.47/1.08  end_of_list.
% 0.47/1.08  
% 0.47/1.08  UNIT CONFLICT from 20 and 7 at   0.00 seconds.
% 0.47/1.08  
% 0.47/1.08  ---------------- PROOF ----------------
% 0.47/1.08  % SZS output start Refutation
% See solution above
% 0.47/1.08  ------------ end of proof -------------
% 0.47/1.08  
% 0.47/1.08  
% 0.47/1.08  ------------- memory usage ------------
% 0.47/1.08  Memory dynamically allocated (tp_alloc): 488.
% 0.47/1.08    type (bytes each)        gets      frees     in use      avail      bytes
% 0.47/1.08  sym_ent (  96)               56          0         56          0      5.2 K
% 0.47/1.08  term (  16)                1273       1026        247         14      5.0 K
% 0.47/1.08  gen_ptr (   8)             1167        161       1006          6      7.9 K
% 0.47/1.08  context ( 808)              788        786          2          3      3.9 K
% 0.47/1.08  trail (  12)                 23         23          0          3      0.0 K
% 0.47/1.08  bt_node (  68)              264        260          4          7      0.7 K
% 0.47/1.08  ac_position (285432)          0          0          0          0      0.0 K
% 0.47/1.08  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.47/1.08  ac_match_free_vars_pos (4020)
% 0.47/1.08                                0          0          0          0      0.0 K
% 0.47/1.08  discrim (  12)              226          0        226          0      2.6 K
% 0.47/1.08  flat (  40)                1505       1505          0         19      0.7 K
% 0.47/1.08  discrim_pos (  12)           27         27          0          1      0.0 K
% 0.47/1.08  fpa_head (  12)             271          0        271          0      3.2 K
% 0.47/1.08  fpa_tree (  28)              55         55          0          7      0.2 K
% 0.47/1.08  fpa_pos (  36)               31         31          0          1      0.0 K
% 0.47/1.08  literal (  12)               70         50         20          1      0.2 K
% 0.47/1.08  clause (  24)                70         50         20          1      0.5 K
% 0.47/1.08  list (  12)                  70         14         56          3      0.7 K
% 0.47/1.08  list_pos (  20)              73          5         68          0      1.3 K
% 0.47/1.08  pair_index (   40)              2          0          2          0      0.1 K
% 0.47/1.08  
% 0.47/1.08  -------------- statistics -------------
% 0.47/1.08  Clauses input                  5
% 0.47/1.08    Usable input                   0
% 0.47/1.08    Sos input                      5
% 0.47/1.08    Demodulators input             0
% 0.47/1.08    Passive input                  0
% 0.47/1.08  
% 0.47/1.08  Processed BS (before search)   6
% 0.47/1.08  Forward subsumed BS            1
% 0.47/1.08  Kept BS                        5
% 0.47/1.08  New demodulators BS            3
% 0.47/1.08  Back demodulated BS            0
% 0.47/1.08  
% 0.47/1.08  Clauses or pairs given        35
% 0.47/1.08  Clauses generated             37
% 0.47/1.08  Forward subsumed              22
% 0.47/1.08  Deleted by weight              0
% 0.47/1.08  Deleted by variable count      0
% 0.47/1.08  Kept                          15
% 0.47/1.08  New demodulators               8
% 0.47/1.08  Back demodulated               0
% 0.47/1.08  Ordered paramod prunes         0
% 0.47/1.08  Basic paramod prunes          64
% 0.47/1.08  Prime paramod prunes           0
% 0.47/1.08  Semantic prunes                0
% 0.47/1.08  
% 0.47/1.08  Rewrite attmepts             346
% 0.47/1.08  Rewrites                      17
% 0.47/1.08  
% 0.47/1.08  FPA overloads                  0
% 0.47/1.08  FPA underloads                 0
% 0.47/1.08  
% 0.47/1.08  Usable size                    0
% 0.47/1.08  Sos size                      19
% 0.47/1.08  Demodulators size             11
% 0.47/1.08  Passive size                   0
% 0.47/1.08  Disabled size                  0
% 0.47/1.08  
% 0.47/1.08  Proofs found                   1
% 0.47/1.08  
% 0.47/1.08  ----------- times (seconds) ----------- Thu Jun  9 13:39:54 2022
% 0.47/1.08  
% 0.47/1.08  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.47/1.08  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.47/1.08  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.47/1.08  input time                0.00
% 0.47/1.08  paramodulation time       0.00
% 0.47/1.08  demodulation time         0.00
% 0.47/1.08  orient time               0.00
% 0.47/1.08  weigh time                0.00
% 0.47/1.08  forward subsume time      0.00
% 0.47/1.08  back demod find time      0.00
% 0.47/1.08  conflict time             0.00
% 0.47/1.08  LRPO time                 0.00
% 0.47/1.08  store clause time         0.00
% 0.47/1.08  disable clause time       0.00
% 0.47/1.08  prime paramod time        0.00
% 0.47/1.08  semantics time            0.00
% 0.47/1.08  
% 0.47/1.08  EQP interrupted
%------------------------------------------------------------------------------