TSTP Solution File: ROB010-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : ROB010-1 : 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 : Mon Jul 18 20:51:37 EDT 2022

% Result   : Unsatisfiable 0.40s 1.04s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   3 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('ROB010-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(negate(add(negate(add(A,B)),negate(add(A,negate(B))))),A),
    file('ROB010-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(negate(add(a,negate(b))),c),
    file('ROB010-1.p',unknown),
    [] ).

cnf(5,plain,
    ~ equal(negate(add(c,negate(add(b,a)))),a),
    file('ROB010-1.p',unknown),
    [] ).

cnf(10,plain,
    ~ equal(negate(add(c,negate(add(a,b)))),a),
    inference(para,[status(thm),theory(equality)],[1,5]),
    [iquote('para(1,5)')] ).

cnf(12,plain,
    ~ equal(negate(add(negate(add(a,b)),c)),a),
    inference(para,[status(thm),theory(equality)],[1,10]),
    [iquote('para(1,10)')] ).

cnf(22,plain,
    equal(negate(add(negate(add(a,b)),c)),a),
    inference(para,[status(thm),theory(equality)],[4,3]),
    [iquote('para(4,3)')] ).

cnf(23,plain,
    $false,
    inference(conflict,[status(thm)],[22,12]),
    [iquote('conflict(22,12)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ROB010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun  9 15:17:34 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.40/1.04  ----- EQP 0.9e, May 2009 -----
% 0.40/1.04  The job began on n022.cluster.edu, Thu Jun  9 15:17:35 2022
% 0.40/1.04  The command was "./eqp09e".
% 0.40/1.04  
% 0.40/1.04  set(prolog_style_variables).
% 0.40/1.04  set(lrpo).
% 0.40/1.04  set(basic_paramod).
% 0.40/1.04  set(functional_subsume).
% 0.40/1.04  set(ordered_paramod).
% 0.40/1.04  set(prime_paramod).
% 0.40/1.04  set(para_pairs).
% 0.40/1.04  assign(pick_given_ratio,4).
% 0.40/1.04  clear(print_kept).
% 0.40/1.04  clear(print_new_demod).
% 0.40/1.04  clear(print_back_demod).
% 0.40/1.04  clear(print_given).
% 0.40/1.04  assign(max_mem,64000).
% 0.40/1.04  end_of_commands.
% 0.40/1.04  
% 0.40/1.04  Usable:
% 0.40/1.04  end_of_list.
% 0.40/1.04  
% 0.40/1.04  Sos:
% 0.40/1.04  0 (wt=-1) [] add(A,B) = add(B,A).
% 0.40/1.04  0 (wt=-1) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.40/1.04  0 (wt=-1) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.40/1.04  0 (wt=-1) [] negate(add(a,negate(b))) = c.
% 0.40/1.04  0 (wt=-1) [] -(negate(add(c,negate(add(b,a)))) = a).
% 0.40/1.04  end_of_list.
% 0.40/1.04  
% 0.40/1.04  Demodulators:
% 0.40/1.04  end_of_list.
% 0.40/1.04  
% 0.40/1.04  Passive:
% 0.40/1.04  end_of_list.
% 0.40/1.04  
% 0.40/1.04  Starting to process input.
% 0.40/1.04  
% 0.40/1.04  ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 0.40/1.04  clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 0.40/1.04  
% 0.40/1.04  ** KEPT: 2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.40/1.04  2 is a new demodulator.
% 0.40/1.04  
% 0.40/1.04  ** KEPT: 3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.40/1.04  3 is a new demodulator.
% 0.40/1.04  
% 0.40/1.04  ** KEPT: 4 (wt=7) [] negate(add(a,negate(b))) = c.
% 0.40/1.04  4 is a new demodulator.
% 0.40/1.04  
% 0.40/1.04  ** KEPT: 5 (wt=9) [] -(negate(add(c,negate(add(b,a)))) = a).
% 0.40/1.04  ---------------- PROOF FOUND ----------------
% 0.40/1.04  % SZS status Unsatisfiable
% 0.40/1.04  
% 0.40/1.04  
% 0.40/1.04  After processing input:
% 0.40/1.04  
% 0.40/1.04  Usable:
% 0.40/1.04  end_of_list.
% 0.40/1.04  
% 0.40/1.04  Sos:
% 0.40/1.04  1 (wt=7) [] add(A,B) = add(B,A).
% 0.40/1.04  4 (wt=7) [] negate(add(a,negate(b))) = c.
% 0.40/1.04  5 (wt=9) [] -(negate(add(c,negate(add(b,a)))) = a).
% 0.40/1.04  2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.40/1.04  3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.40/1.04  end_of_list.
% 0.40/1.04  
% 0.40/1.04  Demodulators:
% 0.40/1.04  2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.40/1.04  3 (wt=13) [] negate(add(negate(add(A,B)),negate(add(A,negate(B))))) = A.
% 0.40/1.04  4 (wt=7) [] negate(add(a,negate(b))) = c.
% 0.40/1.04  end_of_list.
% 0.40/1.04  
% 0.40/1.04  Passive:
% 0.40/1.04  end_of_list.
% 0.40/1.04  
% 0.40/1.04  UNIT CONFLICT from 22 and 12 at   0.00 seconds.
% 0.40/1.04  
% 0.40/1.04  ---------------- PROOF ----------------
% 0.40/1.04  % SZS output start Refutation
% See solution above
% 0.40/1.04  ------------ end of proof -------------
% 0.40/1.04  
% 0.40/1.04  
% 0.40/1.04  ------------- memory usage ------------
% 0.40/1.04  Memory dynamically allocated (tp_alloc): 488.
% 0.40/1.04    type (bytes each)        gets      frees     in use      avail      bytes
% 0.40/1.04  sym_ent (  96)               56          0         56          0      5.2 K
% 0.40/1.04  term (  16)                1209        939        270         13      5.4 K
% 0.40/1.04  gen_ptr (   8)             1255        138       1117          7      8.8 K
% 0.40/1.04  context ( 808)              728        726          2          3      3.9 K
% 0.40/1.04  trail (  12)                 24         24          0          3      0.0 K
% 0.40/1.04  bt_node (  68)              223        218          5          6      0.7 K
% 0.40/1.04  ac_position (285432)          0          0          0          0      0.0 K
% 0.40/1.04  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.40/1.04  ac_match_free_vars_pos (4020)
% 0.40/1.04                                0          0          0          0      0.0 K
% 0.40/1.04  discrim (  12)              254          0        254          0      3.0 K
% 0.40/1.04  flat (  40)                1432       1432          0         19      0.7 K
% 0.40/1.04  discrim_pos (  12)           20         20          0          1      0.0 K
% 0.40/1.04  fpa_head (  12)             289          0        289          0      3.4 K
% 0.40/1.04  fpa_tree (  28)              60         60          0          7      0.2 K
% 0.40/1.04  fpa_pos (  36)               35         35          0          1      0.0 K
% 0.40/1.04  literal (  12)               64         42         22          1      0.3 K
% 0.40/1.04  clause (  24)                64         42         22          1      0.5 K
% 0.40/1.04  list (  12)                  72         16         56          3      0.7 K
% 0.40/1.04  list_pos (  20)              81          5         76          0      1.5 K
% 0.40/1.04  pair_index (   40)              2          0          2          0      0.1 K
% 0.40/1.04  
% 0.40/1.04  -------------- statistics -------------
% 0.40/1.04  Clauses input                  5
% 0.40/1.04    Usable input                   0
% 0.40/1.04    Sos input                      5
% 0.40/1.04    Demodulators input             0
% 0.40/1.04    Passive input                  0
% 0.40/1.04  
% 0.40/1.04  Processed BS (before search)   6
% 0.40/1.04  Forward subsumed BS            1
% 0.40/1.04  Kept BS                        5
% 0.40/1.04  New demodulators BS            3
% 0.40/1.04  Back demodulated BS            0
% 0.40/1.04  
% 0.40/1.04  Clauses or pairs given        35
% 0.40/1.04  Clauses generated             34
% 0.40/1.04  Forward subsumed              17
% 0.40/1.04  Deleted by weight              0
% 0.40/1.04  Deleted by variable count      0
% 0.40/1.04  Kept                          17
% 0.40/1.04  New demodulators              10
% 0.40/1.04  Back demodulated               0
% 0.40/1.04  Ordered paramod prunes         0
% 0.40/1.04  Basic paramod prunes          48
% 0.40/1.04  Prime paramod prunes           0
% 0.40/1.04  Semantic prunes                0
% 0.40/1.04  
% 0.40/1.04  Rewrite attmepts             333
% 0.40/1.04  Rewrites                      14
% 0.40/1.04  
% 0.40/1.04  FPA overloads                  0
% 0.40/1.04  FPA underloads                 0
% 0.40/1.04  
% 0.40/1.04  Usable size                    0
% 0.40/1.04  Sos size                      21
% 0.40/1.04  Demodulators size             13
% 0.40/1.04  Passive size                   0
% 0.40/1.04  Disabled size                  0
% 0.40/1.04  
% 0.40/1.04  Proofs found                   1
% 0.40/1.04  
% 0.40/1.04  ----------- times (seconds) ----------- Thu Jun  9 15:17:35 2022
% 0.40/1.04  
% 0.40/1.04  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.40/1.04  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.40/1.04  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.40/1.04  input time                0.00
% 0.40/1.04  paramodulation time       0.00
% 0.40/1.04  demodulation time         0.00
% 0.40/1.04  orient time               0.00
% 0.40/1.04  weigh time                0.00
% 0.40/1.04  forward subsume time      0.00
% 0.40/1.04  back demod find time      0.00
% 0.40/1.04  conflict time             0.00
% 0.40/1.04  LRPO time                 0.00
% 0.40/1.04  store clause time         0.00
% 0.40/1.04  disable clause time       0.00
% 0.40/1.04  prime paramod time        0.00
% 0.40/1.04  semantics time            0.00
% 0.40/1.04  
% 0.40/1.04  EQP interrupted
%------------------------------------------------------------------------------