TSTP Solution File: SYN083-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n013.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 : Thu Jul 21 05:07:25 EDT 2022

% Result   : Unsatisfiable 0.69s 1.09s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : ERROR: Analysing output (Cycle in a tree)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(f(f(A,B),C),f(A,f(B,C))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(2,plain,
    ~ equal(f(a,f(b,f(c,d))),f(a,f(b,f(c,d)))),
    inference(demod,[status(thm),theory(equality)],[1,1,1]),
    [iquote('demod([1,1,1])')] ).

cnf(3,plain,
    $false,
    inference(conflict,[status(thm)],[2]),
    [iquote('xx_conflict(2)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.34  % Computer : n013.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 : Mon Jul 11 14:08:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.69/1.09  ----- EQP 0.9e, May 2009 -----
% 0.69/1.09  The job began on n013.cluster.edu, Mon Jul 11 14:08:30 2022
% 0.69/1.09  The command was "./eqp09e".
% 0.69/1.09  
% 0.69/1.09  set(prolog_style_variables).
% 0.69/1.09  set(lrpo).
% 0.69/1.09  set(basic_paramod).
% 0.69/1.09  set(functional_subsume).
% 0.69/1.09  set(ordered_paramod).
% 0.69/1.09  set(prime_paramod).
% 0.69/1.09  set(para_pairs).
% 0.69/1.09  assign(pick_given_ratio,4).
% 0.69/1.09  clear(print_kept).
% 0.69/1.09  clear(print_new_demod).
% 0.69/1.09  clear(print_back_demod).
% 0.69/1.09  clear(print_given).
% 0.69/1.09  assign(max_mem,64000).
% 0.69/1.09  end_of_commands.
% 0.69/1.09  
% 0.69/1.09  Usable:
% 0.69/1.09  end_of_list.
% 0.69/1.09  
% 0.69/1.09  Sos:
% 0.69/1.09  0 (wt=-1) [] f(A,f(B,C)) = f(f(A,B),C).
% 0.69/1.09  0 (wt=-1) [] -(f(a,f(b,f(c,d))) = f(f(f(a,b),c),d)).
% 0.69/1.09  end_of_list.
% 0.69/1.09  
% 0.69/1.09  Demodulators:
% 0.69/1.09  end_of_list.
% 0.69/1.09  
% 0.69/1.09  Passive:
% 0.69/1.09  end_of_list.
% 0.69/1.09  
% 0.69/1.09  Starting to process input.
% 0.69/1.09  
% 0.69/1.09  ** KEPT: 1 (wt=11) [flip(1)] f(f(A,B),C) = f(A,f(B,C)).
% 0.69/1.09  1 is a new demodulator.
% 0.69/1.09  
% 0.69/1.09  ** KEPT: 2 (wt=15) [demod([1,1,1])] -(f(a,f(b,f(c,d))) = f(a,f(b,f(c,d)))).
% 0.69/1.09  ---------------- PROOF FOUND ----------------
% 0.69/1.09  % SZS status Unsatisfiable
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  UNIT CONFLICT from 2 and x=x at   0.00 seconds.
% 0.69/1.09  
% 0.69/1.09  ---------------- PROOF ----------------
% 0.69/1.09  % SZS output start Refutation
% See solution above
% 0.69/1.10  ------------ end of proof -------------
% 0.69/1.10  
% 0.69/1.10  
% 0.69/1.10  ------------- memory usage ------------
% 0.69/1.10  Memory dynamically allocated (tp_alloc): 488.
% 0.69/1.10    type (bytes each)        gets      frees     in use      avail      bytes
% 0.69/1.10  sym_ent (  96)               56          0         56          0      5.2 K
% 0.69/1.10  term (  16)                 275        245         30         17      0.9 K
% 0.69/1.10  gen_ptr (   8)               79         41         38          2      0.3 K
% 0.69/1.10  context ( 808)               33         33          0          3      2.4 K
% 0.69/1.10  trail (  12)                  3          3          0          3      0.0 K
% 0.69/1.10  bt_node (  68)                7          7          0          7      0.5 K
% 0.69/1.10  ac_position (285432)          0          0          0          0      0.0 K
% 0.69/1.10  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.69/1.10  ac_match_free_vars_pos (4020)
% 0.69/1.10                                0          0          0          0      0.0 K
% 0.69/1.10  discrim (  12)               19          0         19          0      0.2 K
% 0.69/1.10  flat (  40)                  51         51          0          5      0.2 K
% 0.69/1.10  discrim_pos (  12)            3          3          0          1      0.0 K
% 0.69/1.10  fpa_head (  12)              20          0         20          0      0.2 K
% 0.69/1.10  fpa_tree (  28)               1          1          0          1      0.0 K
% 0.69/1.10  fpa_pos (  36)                2          2          0          1      0.0 K
% 0.69/1.10  literal (  12)                3          1          2          1      0.0 K
% 0.69/1.10  clause (  24)                 3          1          2          1      0.1 K
% 0.69/1.10  list (  12)                  60          2         58          1      0.7 K
% 0.69/1.10  list_pos (  20)               6          2          4          1      0.1 K
% 0.69/1.10  pair_index (   40)              2          0          2          0      0.1 K
% 0.69/1.10  
% 0.69/1.10  -------------- statistics -------------
% 0.69/1.10  Clauses input                  2
% 0.69/1.10    Usable input                   0
% 0.69/1.10    Sos input                      2
% 0.69/1.10    Demodulators input             0
% 0.69/1.10    Passive input                  0
% 0.69/1.10  
% 0.69/1.10  Processed BS (before search)   2
% 0.69/1.10  Forward subsumed BS            0
% 0.69/1.10  Kept BS                        2
% 0.69/1.10  New demodulators BS            1
% 0.69/1.10  Back demodulated BS            0
% 0.69/1.10  
% 0.69/1.10  Clauses or pairs given         0
% 0.69/1.10  Clauses generated              0
% 0.69/1.10  Forward subsumed               0
% 0.69/1.10  Deleted by weight              0
% 0.69/1.10  Deleted by variable count      0
% 0.69/1.10  Kept                           0
% 0.69/1.10  New demodulators               0
% 0.69/1.10  Back demodulated               0
% 0.69/1.10  Ordered paramod prunes         0
% 0.69/1.10  Basic paramod prunes           0
% 0.69/1.10  Prime paramod prunes           0
% 0.69/1.10  Semantic prunes                0
% 0.69/1.10  
% 0.69/1.10  Rewrite attmepts              26
% 0.69/1.10  Rewrites                       3
% 0.69/1.10  
% 0.69/1.10  FPA overloads                  0
% 0.69/1.10  FPA underloads                 0
% 0.69/1.10  
% 0.69/1.10  Usable size                    0
% 0.69/1.10  Sos size                       1
% 0.69/1.10  Demodulators size              1
% 0.69/1.10  Passive size                   0
% 0.69/1.10  Disabled size                  0
% 0.69/1.10  
% 0.69/1.10  Proofs found                   1
% 0.69/1.10  
% 0.69/1.10  ----------- times (seconds) ----------- Mon Jul 11 14:08:30 2022
% 0.69/1.10  
% 0.69/1.10  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.69/1.10  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.69/1.10  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.69/1.10  input time                0.00
% 0.69/1.10  paramodulation time       0.00
% 0.69/1.10  demodulation time         0.00
% 0.69/1.10  orient time               0.00
% 0.69/1.10  weigh time                0.00
% 0.69/1.10  forward subsume time      0.00
% 0.69/1.10  back demod find time      0.00
% 0.69/1.10  conflict time             0.00
% 0.69/1.10  LRPO time                 0.00
% 0.69/1.10  store clause time         0.00
% 0.69/1.10  disable clause time       0.00
% 0.69/1.10  prime paramod time        0.00
% 0.69/1.10  semantics time            0.00
% 0.69/1.10  
% 0.69/1.10  EQP interrupted
%------------------------------------------------------------------------------