TSTP Solution File: LCL134-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n009.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 : Sun Jul 17 09:41:14 EDT 2022

% Result   : Unsatisfiable 0.41s 1.07s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;   2 RR)
%            Number of literals    :   10 (   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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(implies(truth,A),A),
    file('LCL134-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(implies(implies(A,B),implies(implies(B,C),implies(A,C))),truth),
    file('LCL134-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(implies(implies(A,B),B),implies(implies(B,A),A)),
    file('LCL134-1.p',unknown),
    [] ).

cnf(5,plain,
    ~ equal(implies(x,truth),truth),
    file('LCL134-1.p',unknown),
    [] ).

cnf(6,plain,
    equal(implies(implies(A,truth),truth),implies(A,A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,3]),1]),
    [iquote('para(1,3),flip(1)')] ).

cnf(7,plain,
    equal(implies(A,implies(implies(A,B),B)),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),1]),
    [iquote('para(1,2),demod([1])')] ).

cnf(9,plain,
    equal(implies(A,A),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,7]),1]),
    [iquote('para(1,7),demod([1])')] ).

cnf(10,plain,
    equal(implies(implies(A,truth),truth),truth),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),9]),
    [iquote('back_demod(6),demod([9])')] ).

cnf(21,plain,
    equal(implies(A,truth),truth),
    inference(para,[status(thm),theory(equality)],[10,7]),
    [iquote('para(10,7)')] ).

cnf(22,plain,
    $false,
    inference(conflict,[status(thm)],[21,5]),
    [iquote('conflict(21,5)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.33  % Computer : n009.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 : Sun Jul  3 04:26:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.07  ----- EQP 0.9e, May 2009 -----
% 0.41/1.07  The job began on n009.cluster.edu, Sun Jul  3 04:26:08 2022
% 0.41/1.07  The command was "./eqp09e".
% 0.41/1.07  
% 0.41/1.07  set(prolog_style_variables).
% 0.41/1.07  set(lrpo).
% 0.41/1.07  set(basic_paramod).
% 0.41/1.07  set(functional_subsume).
% 0.41/1.07  set(ordered_paramod).
% 0.41/1.07  set(prime_paramod).
% 0.41/1.07  set(para_pairs).
% 0.41/1.07  assign(pick_given_ratio,4).
% 0.41/1.07  clear(print_kept).
% 0.41/1.07  clear(print_new_demod).
% 0.41/1.07  clear(print_back_demod).
% 0.41/1.07  clear(print_given).
% 0.41/1.07  assign(max_mem,64000).
% 0.41/1.07  end_of_commands.
% 0.41/1.07  
% 0.41/1.07  Usable:
% 0.41/1.07  end_of_list.
% 0.41/1.07  
% 0.41/1.07  Sos:
% 0.41/1.07  0 (wt=-1) [] implies(truth,A) = A.
% 0.41/1.07  0 (wt=-1) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.41/1.07  0 (wt=-1) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.41/1.07  0 (wt=-1) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.41/1.07  0 (wt=-1) [] -(implies(x,truth) = truth).
% 0.41/1.07  end_of_list.
% 0.41/1.07  
% 0.41/1.07  Demodulators:
% 0.41/1.07  end_of_list.
% 0.41/1.07  
% 0.41/1.07  Passive:
% 0.41/1.07  end_of_list.
% 0.41/1.07  
% 0.41/1.07  Starting to process input.
% 0.41/1.07  
% 0.41/1.07  ** KEPT: 1 (wt=5) [] implies(truth,A) = A.
% 0.41/1.07  1 is a new demodulator.
% 0.41/1.07  
% 0.41/1.07  ** KEPT: 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.41/1.07  2 is a new demodulator.
% 0.41/1.07  
% 0.41/1.07  ** KEPT: 3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.41/1.07  clause forward subsumed: 0 (wt=11) [flip(3)] implies(implies(B,A),A) = implies(implies(A,B),B).
% 0.41/1.07  
% 0.41/1.07  ** KEPT: 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.41/1.07  4 is a new demodulator.
% 0.41/1.07  
% 0.41/1.07  ** KEPT: 5 (wt=5) [] -(implies(x,truth) = truth).
% 0.41/1.07  ---------------- PROOF FOUND ----------------
% 0.41/1.07  % SZS status Unsatisfiable
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  After processing input:
% 0.41/1.07  
% 0.41/1.07  Usable:
% 0.41/1.07  end_of_list.
% 0.41/1.07  
% 0.41/1.07  Sos:
% 0.41/1.07  1 (wt=5) [] implies(truth,A) = A.
% 0.41/1.07  5 (wt=5) [] -(implies(x,truth) = truth).
% 0.41/1.07  3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.41/1.07  4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.41/1.07  2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.41/1.07  end_of_list.
% 0.41/1.07  
% 0.41/1.07  Demodulators:
% 0.41/1.07  1 (wt=5) [] implies(truth,A) = A.
% 0.41/1.07  2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.41/1.07  4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.41/1.07  end_of_list.
% 0.41/1.07  
% 0.41/1.07  Passive:
% 0.41/1.07  end_of_list.
% 0.41/1.07  
% 0.41/1.07  UNIT CONFLICT from 21 and 5 at   0.00 seconds.
% 0.41/1.07  
% 0.41/1.07  ---------------- PROOF ----------------
% 0.41/1.07  % SZS output start Refutation
% See solution above
% 0.41/1.07  ------------ end of proof -------------
% 0.41/1.07  
% 0.41/1.07  
% 0.41/1.07  ------------- memory usage ------------
% 0.41/1.07  Memory dynamically allocated (tp_alloc): 488.
% 0.41/1.07    type (bytes each)        gets      frees     in use      avail      bytes
% 0.41/1.07  sym_ent (  96)               55          0         55          0      5.2 K
% 0.41/1.07  term (  16)                1209        946        263         23      5.5 K
% 0.41/1.07  gen_ptr (   8)             1161        203        958          9      7.6 K
% 0.41/1.07  context ( 808)              580        578          2          2      3.2 K
% 0.41/1.07  trail (  12)                 93         93          0          4      0.0 K
% 0.41/1.07  bt_node (  68)              192        187          5          6      0.7 K
% 0.41/1.07  ac_position (285432)          0          0          0          0      0.0 K
% 0.41/1.07  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.41/1.07  ac_match_free_vars_pos (4020)
% 0.41/1.07                                0          0          0          0      0.0 K
% 0.41/1.07  discrim (  12)              279         12        267          0      3.1 K
% 0.41/1.07  flat (  40)                1351       1351          0         21      0.8 K
% 0.41/1.07  discrim_pos (  12)           28         28          0          1      0.0 K
% 0.41/1.07  fpa_head (  12)             137          0        137          0      1.6 K
% 0.41/1.07  fpa_tree (  28)              76         76          0          7      0.2 K
% 0.41/1.07  fpa_pos (  36)               39         39          0          1      0.0 K
% 0.41/1.07  literal (  12)               62         41         21          1      0.3 K
% 0.41/1.08  clause (  24)                62         41         21          1      0.5 K
% 0.41/1.08  list (  12)                  77         21         56          3      0.7 K
% 0.41/1.08  list_pos (  20)              87         15         72          0      1.4 K
% 0.41/1.08  pair_index (   40)              2          0          2          0      0.1 K
% 0.41/1.08  
% 0.41/1.08  -------------- statistics -------------
% 0.41/1.08  Clauses input                  5
% 0.41/1.08    Usable input                   0
% 0.41/1.08    Sos input                      5
% 0.41/1.08    Demodulators input             0
% 0.41/1.08    Passive input                  0
% 0.41/1.08  
% 0.41/1.08  Processed BS (before search)   6
% 0.41/1.08  Forward subsumed BS            1
% 0.41/1.08  Kept BS                        5
% 0.41/1.08  New demodulators BS            3
% 0.41/1.08  Back demodulated BS            0
% 0.41/1.08  
% 0.41/1.08  Clauses or pairs given        21
% 0.41/1.08  Clauses generated             35
% 0.41/1.08  Forward subsumed              19
% 0.41/1.08  Deleted by weight              0
% 0.41/1.08  Deleted by variable count      0
% 0.41/1.08  Kept                          16
% 0.41/1.08  New demodulators              15
% 0.41/1.08  Back demodulated               2
% 0.41/1.08  Ordered paramod prunes         0
% 0.41/1.08  Basic paramod prunes          12
% 0.41/1.08  Prime paramod prunes           1
% 0.41/1.08  Semantic prunes                0
% 0.41/1.08  
% 0.41/1.08  Rewrite attmepts             297
% 0.41/1.08  Rewrites                      26
% 0.41/1.08  
% 0.41/1.08  FPA overloads                  0
% 0.41/1.08  FPA underloads                 0
% 0.41/1.08  
% 0.41/1.08  Usable size                    0
% 0.41/1.08  Sos size                      18
% 0.41/1.08  Demodulators size             16
% 0.41/1.08  Passive size                   0
% 0.41/1.08  Disabled size                  2
% 0.41/1.08  
% 0.41/1.08  Proofs found                   1
% 0.41/1.08  
% 0.41/1.08  ----------- times (seconds) ----------- Sun Jul  3 04:26:08 2022
% 0.41/1.08  
% 0.41/1.08  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.41/1.08  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.41/1.08  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.41/1.08  input time                0.00
% 0.41/1.08  paramodulation time       0.00
% 0.41/1.08  demodulation time         0.00
% 0.41/1.08  orient time               0.00
% 0.41/1.08  weigh time                0.00
% 0.41/1.08  forward subsume time      0.00
% 0.41/1.08  back demod find time      0.00
% 0.41/1.08  conflict time             0.00
% 0.41/1.08  LRPO time                 0.00
% 0.41/1.08  store clause time         0.00
% 0.41/1.08  disable clause time       0.00
% 0.41/1.08  prime paramod time        0.00
% 0.41/1.08  semantics time            0.00
% 0.41/1.08  
% 0.41/1.08  EQP interrupted
%------------------------------------------------------------------------------