TSTP Solution File: LCL133-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n007.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 0.42s 1.09s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% 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 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(implies(truth,A),A),
    file('LCL133-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(implies(implies(A,B),implies(implies(B,C),implies(A,C))),truth),
    file('LCL133-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(implies(implies(A,B),B),implies(implies(B,A),A)),
    file('LCL133-1.p',unknown),
    [] ).

cnf(5,plain,
    equal(implies(A,B),implies(B,A)),
    file('LCL133-1.p',unknown),
    [] ).

cnf(6,plain,
    ~ equal(y,x),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('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,truth),A),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,5]),1]),
    [iquote('para(1,5),flip(1)')] ).

cnf(15,plain,
    equal(implies(A,A),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,3]),9,9]),
    [iquote('para(1,3),demod([9,9])')] ).

cnf(20,plain,
    equal(A,truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,7]),15,1]),
    [iquote('para(1,7),demod([15,1])')] ).

cnf(22,plain,
    ~ equal(x,truth),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,6]),1]),
    [iquote('para(20,6),flip(1)')] ).

cnf(23,plain,
    $false,
    inference(conflict,[status(thm)],[22,20]),
    [iquote('conflict(22,20)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.34  % Computer : n007.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 : Mon Jul  4 11:02:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.42/1.09  ----- EQP 0.9e, May 2009 -----
% 0.42/1.09  The job began on n007.cluster.edu, Mon Jul  4 11:02:57 2022
% 0.42/1.09  The command was "./eqp09e".
% 0.42/1.09  
% 0.42/1.09  set(prolog_style_variables).
% 0.42/1.09  set(lrpo).
% 0.42/1.09  set(basic_paramod).
% 0.42/1.09  set(functional_subsume).
% 0.42/1.09  set(ordered_paramod).
% 0.42/1.09  set(prime_paramod).
% 0.42/1.09  set(para_pairs).
% 0.42/1.09  assign(pick_given_ratio,4).
% 0.42/1.09  clear(print_kept).
% 0.42/1.09  clear(print_new_demod).
% 0.42/1.09  clear(print_back_demod).
% 0.42/1.09  clear(print_given).
% 0.42/1.09  assign(max_mem,64000).
% 0.42/1.09  end_of_commands.
% 0.42/1.09  
% 0.42/1.09  Usable:
% 0.42/1.09  end_of_list.
% 0.42/1.09  
% 0.42/1.09  Sos:
% 0.42/1.09  0 (wt=-1) [] implies(truth,A) = A.
% 0.42/1.09  0 (wt=-1) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.42/1.09  0 (wt=-1) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.42/1.09  0 (wt=-1) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.42/1.09  0 (wt=-1) [] implies(A,B) = implies(B,A).
% 0.42/1.09  0 (wt=-1) [] -(x = y).
% 0.42/1.09  end_of_list.
% 0.42/1.09  
% 0.42/1.09  Demodulators:
% 0.42/1.09  end_of_list.
% 0.42/1.09  
% 0.42/1.09  Passive:
% 0.42/1.09  end_of_list.
% 0.42/1.09  
% 0.42/1.09  Starting to process input.
% 0.42/1.09  
% 0.42/1.09  ** KEPT: 1 (wt=5) [] implies(truth,A) = A.
% 0.42/1.09  1 is a new demodulator.
% 0.42/1.09  
% 0.42/1.09  ** KEPT: 2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.42/1.09  2 is a new demodulator.
% 0.42/1.09  
% 0.42/1.09  ** KEPT: 3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.42/1.09  clause forward subsumed: 0 (wt=11) [flip(3)] implies(implies(B,A),A) = implies(implies(A,B),B).
% 0.42/1.09  
% 0.42/1.09  ** KEPT: 4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.42/1.09  4 is a new demodulator.
% 0.42/1.09  
% 0.42/1.09  ** KEPT: 5 (wt=7) [] implies(A,B) = implies(B,A).
% 0.42/1.09  clause forward subsumed: 0 (wt=7) [flip(5)] implies(B,A) = implies(A,B).
% 0.42/1.09  
% 0.42/1.09  ** KEPT: 6 (wt=3) [flip(1)] -(y = x).
% 0.42/1.09  ---------------- PROOF FOUND ----------------
% 0.42/1.09  % SZS status Unsatisfiable
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  After processing input:
% 0.42/1.09  
% 0.42/1.09  Usable:
% 0.42/1.09  end_of_list.
% 0.42/1.09  
% 0.42/1.09  Sos:
% 0.42/1.09  6 (wt=3) [flip(1)] -(y = x).
% 0.42/1.09  1 (wt=5) [] implies(truth,A) = A.
% 0.42/1.09  5 (wt=7) [] implies(A,B) = implies(B,A).
% 0.42/1.09  3 (wt=11) [] implies(implies(A,B),B) = implies(implies(B,A),A).
% 0.42/1.09  4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.42/1.09  2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.42/1.09  end_of_list.
% 0.42/1.09  
% 0.42/1.09  Demodulators:
% 0.42/1.09  1 (wt=5) [] implies(truth,A) = A.
% 0.42/1.09  2 (wt=13) [] implies(implies(A,B),implies(implies(B,C),implies(A,C))) = truth.
% 0.42/1.09  4 (wt=11) [] implies(implies(not(A),not(B)),implies(B,A)) = truth.
% 0.42/1.09  end_of_list.
% 0.42/1.09  
% 0.42/1.09  Passive:
% 0.42/1.09  end_of_list.
% 0.42/1.09  
% 0.42/1.09  UNIT CONFLICT from 22 and 20 at   0.00 seconds.
% 0.42/1.09  
% 0.42/1.09  ---------------- PROOF ----------------
% 0.42/1.09  % SZS output start Refutation
% See solution above
% 0.42/1.09  ------------ end of proof -------------
% 0.42/1.09  
% 0.42/1.09  
% 0.42/1.09  ------------- memory usage ------------
% 0.42/1.09  Memory dynamically allocated (tp_alloc): 488.
% 0.42/1.09    type (bytes each)        gets      frees     in use      avail      bytes
% 0.42/1.09  sym_ent (  96)               56          0         56          0      5.2 K
% 0.42/1.09  term (  16)                1157        921        236         15      4.8 K
% 0.42/1.09  gen_ptr (   8)             1018        164        854         10      6.8 K
% 0.42/1.09  context ( 808)              477        475          2          2      3.2 K
% 0.42/1.09  trail (  12)                100        100          0          4      0.0 K
% 0.42/1.09  bt_node (  68)              142        141          1         10      0.7 K
% 0.42/1.09  ac_position (285432)          0          0          0          0      0.0 K
% 0.42/1.09  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.42/1.09  ac_match_free_vars_pos (4020)
% 0.42/1.09                                0          0          0          0      0.0 K
% 0.42/1.09  discrim (  12)              259         13        246          0      2.9 K
% 0.42/1.09  flat (  40)                1136       1136          0         21      0.8 K
% 0.42/1.09  discrim_pos (  12)           27         27          0          1      0.0 K
% 0.42/1.09  fpa_head (  12)             112          0        112          0      1.3 K
% 0.42/1.09  fpa_tree (  28)              61         61          0          7      0.2 K
% 0.42/1.09  fpa_pos (  36)               38         38          0          1      0.0 K
% 0.42/1.09  literal (  12)               63         41         22          1      0.3 K
% 0.42/1.09  clause (  24)                63         41         22          1      0.5 K
% 0.42/1.09  list (  12)                  75         19         56          3      0.7 K
% 0.42/1.09  list_pos (  20)              87         11         76          0      1.5 K
% 0.42/1.09  pair_index (   40)              2          0          2          0      0.1 K
% 0.42/1.09  
% 0.42/1.09  -------------- statistics -------------
% 0.42/1.09  Clauses input                  6
% 0.42/1.09    Usable input                   0
% 0.42/1.09    Sos input                      6
% 0.42/1.09    Demodulators input             0
% 0.42/1.09    Passive input                  0
% 0.42/1.09  
% 0.42/1.09  Processed BS (before search)   8
% 0.42/1.09  Forward subsumed BS            2
% 0.42/1.09  Kept BS                        6
% 0.42/1.09  New demodulators BS            3
% 0.42/1.09  Back demodulated BS            0
% 0.42/1.09  
% 0.42/1.09  Clauses or pairs given        24
% 0.42/1.09  Clauses generated             32
% 0.42/1.09  Forward subsumed              16
% 0.42/1.09  Deleted by weight              0
% 0.42/1.09  Deleted by variable count      0
% 0.42/1.09  Kept                          16
% 0.42/1.09  New demodulators              13
% 0.42/1.09  Back demodulated               1
% 0.42/1.09  Ordered paramod prunes         0
% 0.42/1.09  Basic paramod prunes           5
% 0.42/1.09  Prime paramod prunes           1
% 0.42/1.09  Semantic prunes                0
% 0.42/1.09  
% 0.42/1.09  Rewrite attmepts             233
% 0.42/1.09  Rewrites                      23
% 0.42/1.09  
% 0.42/1.09  FPA overloads                  0
% 0.42/1.09  FPA underloads                 0
% 0.42/1.09  
% 0.42/1.09  Usable size                    0
% 0.42/1.09  Sos size                      20
% 0.42/1.09  Demodulators size             15
% 0.42/1.09  Passive size                   0
% 0.42/1.09  Disabled size                  1
% 0.42/1.09  
% 0.42/1.09  Proofs found                   1
% 0.42/1.09  
% 0.42/1.09  ----------- times (seconds) ----------- Mon Jul  4 11:02:57 2022
% 0.42/1.09  
% 0.42/1.09  user CPU time             0.00   (0 hr, 0 min, 0 sec)
% 0.42/1.09  system CPU time           0.00   (0 hr, 0 min, 0 sec)
% 0.42/1.09  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.42/1.09  input time                0.00
% 0.42/1.09  paramodulation time       0.00
% 0.42/1.09  demodulation time         0.00
% 0.42/1.09  orient time               0.00
% 0.42/1.09  weigh time                0.00
% 0.42/1.09  forward subsume time      0.00
% 0.42/1.09  back demod find time      0.00
% 0.42/1.09  conflict time             0.00
% 0.42/1.09  LRPO time                 0.00
% 0.42/1.09  store clause time         0.00
% 0.42/1.09  disable clause time       0.00
% 0.42/1.09  prime paramod time        0.00
% 0.42/1.09  semantics time            0.00
% 0.42/1.09  
% 0.42/1.09  EQP interrupted
%------------------------------------------------------------------------------