TSTP Solution File: SWV262-2 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : SWV262-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n010.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 : Wed Jul 20 17:54:25 EDT 2022

% Result   : Unsatisfiable 0.72s 1.08s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   3 RR)
%            Number of literals    :   14 (   0 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   30 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    ~ equal(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg)),
    file('SWV262-2.p',unknown),
    [] ).

cnf(2,plain,
    equal(c_Message_Oparts(c_union(A,B,tc_Message_Omsg)),c_union(c_Message_Oparts(A),c_Message_Oparts(B),tc_Message_Omsg)),
    file('SWV262-2.p',unknown),
    [] ).

cnf(3,plain,
    equal(c_union(c_emptyset,A,B),A),
    file('SWV262-2.p',unknown),
    [] ).

cnf(4,plain,
    equal(c_union(c_insert(A,B,C),D,C),c_insert(A,c_union(B,D,C),C)),
    file('SWV262-2.p',unknown),
    [] ).

cnf(9,plain,
    equal(c_Message_Oparts(c_insert(A,c_union(B,C,tc_Message_Omsg),tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(A,B,tc_Message_Omsg)),c_Message_Oparts(C),tc_Message_Omsg)),
    inference(para,[status(thm),theory(equality)],[4,2]),
    [iquote('para(4,2)')] ).

cnf(10,plain,
    equal(c_Message_Oparts(c_insert(A,B,tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(B),tc_Message_Omsg)),
    inference(para,[status(thm),theory(equality)],[3,9]),
    [iquote('para(3,9)')] ).

cnf(11,plain,
    equal(c_union(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(B),tc_Message_Omsg),c_Message_Oparts(c_insert(A,B,tc_Message_Omsg))),
    inference(flip,[status(thm),theory(equality)],[10]),
    [iquote('flip(10)')] ).

cnf(15,plain,
    equal(c_union(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(B),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Oparts(c_insert(A,B,tc_Message_Omsg)),c_Message_Oparts(C),tc_Message_Omsg)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,11]),9]),
    [iquote('para(2,11),demod([9])')] ).

cnf(16,plain,
    equal(c_union(c_Message_Oparts(c_insert(A,B,tc_Message_Omsg)),c_Message_Oparts(C),tc_Message_Omsg),c_union(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(B),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg)),
    inference(flip,[status(thm),theory(equality)],[15]),
    [iquote('flip(15)')] ).

cnf(24,plain,
    equal(c_union(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(B,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg),c_Message_Oparts(c_insert(A,c_insert(B,C,tc_Message_Omsg),tc_Message_Omsg))),
    inference(para,[status(thm),theory(equality)],[10,11]),
    [iquote('para(10,11)')] ).

cnf(25,plain,
    equal(c_Message_Oparts(c_insert(A,c_insert(B,C,tc_Message_Omsg),tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(B,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg)),
    inference(flip,[status(thm),theory(equality)],[24]),
    [iquote('flip(24)')] ).

cnf(113,plain,
    equal(c_union(c_union(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(B),tc_Message_Omsg),c_Message_Oparts(C),tc_Message_Omsg),c_union(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(B),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg)),
    inference(para,[status(thm),theory(equality)],[10,16]),
    [iquote('para(10,16)')] ).

cnf(117,plain,
    ~ equal(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_Message_Omsg)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),113]),
    [iquote('back_demod(1),demod([113])')] ).

cnf(118,plain,
    $false,
    inference(conflict,[status(thm)],[117,25]),
    [iquote('conflict(117,25)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV262-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.34  % Computer : n010.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 16 01:33:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.72/1.08  ----- EQP 0.9e, May 2009 -----
% 0.72/1.08  The job began on n010.cluster.edu, Thu Jun 16 01:33:24 2022
% 0.72/1.08  The command was "./eqp09e".
% 0.72/1.08  
% 0.72/1.08  set(prolog_style_variables).
% 0.72/1.08  set(lrpo).
% 0.72/1.08  set(basic_paramod).
% 0.72/1.08  set(functional_subsume).
% 0.72/1.08  set(ordered_paramod).
% 0.72/1.08  set(prime_paramod).
% 0.72/1.08  set(para_pairs).
% 0.72/1.08  assign(pick_given_ratio,4).
% 0.72/1.08  clear(print_kept).
% 0.72/1.08  clear(print_new_demod).
% 0.72/1.08  clear(print_back_demod).
% 0.72/1.08  clear(print_given).
% 0.72/1.08  assign(max_mem,64000).
% 0.72/1.08  end_of_commands.
% 0.72/1.08  
% 0.72/1.08  Usable:
% 0.72/1.08  end_of_list.
% 0.72/1.08  
% 0.72/1.08  Sos:
% 0.72/1.08  0 (wt=-1) [] -(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg)).
% 0.72/1.08  0 (wt=-1) [] c_Message_Oparts(c_union(A,B,tc_Message_Omsg)) = c_union(c_Message_Oparts(A),c_Message_Oparts(B),tc_Message_Omsg).
% 0.72/1.08  0 (wt=-1) [] c_union(c_emptyset,A,B) = A.
% 0.72/1.08  0 (wt=-1) [] c_union(c_insert(A,B,C),D,C) = c_insert(A,c_union(B,D,C),C).
% 0.72/1.08  end_of_list.
% 0.72/1.08  
% 0.72/1.08  Demodulators:
% 0.72/1.08  end_of_list.
% 0.72/1.08  
% 0.72/1.08  Passive:
% 0.72/1.08  end_of_list.
% 0.72/1.08  
% 0.72/1.08  Starting to process input.
% 0.72/1.08  
% 0.72/1.08  ** KEPT: 1 (wt=25) [] -(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg)).
% 0.72/1.08  
% 0.72/1.08  ** KEPT: 2 (wt=12) [] c_Message_Oparts(c_union(A,B,tc_Message_Omsg)) = c_union(c_Message_Oparts(A),c_Message_Oparts(B),tc_Message_Omsg).
% 0.72/1.08  2 is a new demodulator.
% 0.72/1.08  
% 0.72/1.08  ** KEPT: 3 (wt=6) [] c_union(c_emptyset,A,B) = A.
% 0.72/1.08  3 is a new demodulator.
% 0.72/1.08  
% 0.72/1.08  ** KEPT: 4 (wt=15) [] c_union(c_insert(A,B,C),D,C) = c_insert(A,c_union(B,D,C),C).
% 0.72/1.08  4 is a new demodulator.
% 0.72/1.08  ---------------- PROOF FOUND ----------------
% 0.72/1.08  % SZS status Unsatisfiable
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  After processing input:
% 0.72/1.08  
% 0.72/1.08  Usable:
% 0.72/1.08  end_of_list.
% 0.72/1.08  
% 0.72/1.08  Sos:
% 0.72/1.08  3 (wt=6) [] c_union(c_emptyset,A,B) = A.
% 0.72/1.08  2 (wt=12) [] c_Message_Oparts(c_union(A,B,tc_Message_Omsg)) = c_union(c_Message_Oparts(A),c_Message_Oparts(B),tc_Message_Omsg).
% 0.72/1.08  4 (wt=15) [] c_union(c_insert(A,B,C),D,C) = c_insert(A,c_union(B,D,C),C).
% 0.72/1.08  1 (wt=25) [] -(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg)).
% 0.72/1.08  end_of_list.
% 0.72/1.08  
% 0.72/1.08  Demodulators:
% 0.72/1.08  2 (wt=12) [] c_Message_Oparts(c_union(A,B,tc_Message_Omsg)) = c_union(c_Message_Oparts(A),c_Message_Oparts(B),tc_Message_Omsg).
% 0.72/1.08  3 (wt=6) [] c_union(c_emptyset,A,B) = A.
% 0.72/1.08  4 (wt=15) [] c_union(c_insert(A,B,C),D,C) = c_insert(A,c_union(B,D,C),C).
% 0.72/1.08  end_of_list.
% 0.72/1.08  
% 0.72/1.08  Passive:
% 0.72/1.08  end_of_list.
% 0.72/1.08  
% 0.72/1.08  UNIT CONFLICT from 117 and 25 at   0.01 seconds.
% 0.72/1.08  
% 0.72/1.08  ---------------- PROOF ----------------
% 0.72/1.08  % SZS output start Refutation
% See solution above
% 0.72/1.08  ------------ end of proof -------------
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  ------------- memory usage ------------
% 0.72/1.08  Memory dynamically allocated (tp_alloc): 488.
% 0.72/1.08    type (bytes each)        gets      frees     in use      avail      bytes
% 0.72/1.08  sym_ent (  96)               63          0         63          0      5.9 K
% 0.72/1.08  term (  16)                9677       6691       2986         27     58.4 K
% 0.72/1.08  gen_ptr (   8)            14175       1256      12919         22    101.1 K
% 0.72/1.08  context ( 808)            10862      10860          2          3      3.9 K
% 0.72/1.08  trail (  12)                114        114          0          4      0.0 K
% 0.72/1.08  bt_node (  68)             3310       3305          5          8      0.9 K
% 0.72/1.08  ac_position (285432)          0          0          0          0      0.0 K
% 0.72/1.08  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.72/1.08  ac_match_free_vars_pos (4020)
% 0.72/1.08                                0          0          0          0      0.0 K
% 0.72/1.08  discrim (  12)             2281        334       1947        182     24.9 K
% 0.72/1.08  flat (  40)               19760      19760          0         36      1.4 K
% 0.72/1.08  discrim_pos (  12)          262        262          0          1      0.0 K
% 0.72/1.08  fpa_head (  12)             965          0        965          0     11.3 K
% 0.72/1.08  fpa_tree (  28)             355        355          0         47      1.3 K
% 0.72/1.08  fpa_pos (  36)              140        140          0          1      0.0 K
% 0.72/1.08  literal (  12)              494        377        117          1      1.4 K
% 0.72/1.08  clause (  24)               494        377        117          1      2.8 K
% 0.72/1.08  list (  12)                  82         25         57          2      0.7 K
% 0.72/1.08  list_pos (  20)             419         92        327         33      7.0 K
% 0.72/1.08  pair_index (   40)              2          0          2          0      0.1 K
% 0.72/1.08  
% 0.72/1.08  -------------- statistics -------------
% 0.72/1.08  Clauses input                  4
% 0.72/1.08    Usable input                   0
% 0.72/1.08    Sos input                      4
% 0.72/1.08    Demodulators input             0
% 0.72/1.08    Passive input                  0
% 0.72/1.08  
% 0.72/1.08  Processed BS (before search)   4
% 0.72/1.08  Forward subsumed BS            0
% 0.72/1.08  Kept BS                        4
% 0.72/1.08  New demodulators BS            3
% 0.72/1.08  Back demodulated BS            0
% 0.72/1.08  
% 0.72/1.08  Clauses or pairs given       295
% 0.72/1.08  Clauses generated            250
% 0.72/1.08  Forward subsumed             137
% 0.72/1.08  Deleted by weight              0
% 0.72/1.08  Deleted by variable count      0
% 0.72/1.08  Kept                         113
% 0.72/1.08  New demodulators              20
% 0.72/1.08  Back demodulated              22
% 0.72/1.08  Ordered paramod prunes         0
% 0.72/1.08  Basic paramod prunes        1238
% 0.72/1.08  Prime paramod prunes           0
% 0.72/1.08  Semantic prunes                0
% 0.72/1.08  
% 0.72/1.08  Rewrite attmepts            5738
% 0.72/1.08  Rewrites                     153
% 0.72/1.08  
% 0.72/1.08  FPA overloads                  0
% 0.72/1.08  FPA underloads                 0
% 0.72/1.08  
% 0.72/1.08  Usable size                    0
% 0.72/1.08  Sos size                      94
% 0.72/1.08  Demodulators size             23
% 0.72/1.08  Passive size                   0
% 0.72/1.08  Disabled size                 22
% 0.72/1.08  
% 0.72/1.08  Proofs found                   1
% 0.72/1.08  
% 0.72/1.08  ----------- times (seconds) ----------- Thu Jun 16 01:33:24 2022
% 0.72/1.08  
% 0.72/1.08  user CPU time             0.01   (0 hr, 0 min, 0 sec)
% 0.72/1.08  system CPU time           0.01   (0 hr, 0 min, 0 sec)
% 0.72/1.08  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.72/1.08  input time                0.00
% 0.72/1.08  paramodulation time       0.00
% 0.72/1.08  demodulation time         0.00
% 0.72/1.08  orient time               0.00
% 0.72/1.08  weigh time                0.00
% 0.72/1.08  forward subsume time      0.00
% 0.72/1.08  back demod find time      0.00
% 0.72/1.08  conflict time             0.00
% 0.72/1.08  LRPO time                 0.00
% 0.72/1.08  store clause time         0.00
% 0.72/1.08  disable clause time       0.00
% 0.72/1.08  prime paramod time        0.00
% 0.72/1.08  semantics time            0.00
% 0.72/1.08  
% 0.72/1.08  EQP interrupted
%------------------------------------------------------------------------------