TSTP Solution File: GRP002-2 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n008.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 : Sat Jul 16 08:44:09 EDT 2022

% Result   : Unsatisfiable 0.68s 1.09s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   44 (  44 unt;   0 nHn;  22 RR)
%            Number of literals    :   44 (   0 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   35 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(multiply(identity,A),A),
    file('GRP002-2.p',unknown),
    [] ).

cnf(2,plain,
    equal(multiply(inverse(A),A),identity),
    file('GRP002-2.p',unknown),
    [] ).

cnf(3,plain,
    equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
    file('GRP002-2.p',unknown),
    [] ).

cnf(4,plain,
    equal(multiply(A,identity),A),
    file('GRP002-2.p',unknown),
    [] ).

cnf(6,plain,
    equal(multiply(A,multiply(A,A)),identity),
    file('GRP002-2.p',unknown),
    [] ).

cnf(7,plain,
    equal(multiply(a,b),c),
    file('GRP002-2.p',unknown),
    [] ).

cnf(8,plain,
    equal(multiply(c,inverse(a)),d),
    file('GRP002-2.p',unknown),
    [] ).

cnf(9,plain,
    equal(multiply(d,inverse(b)),h),
    file('GRP002-2.p',unknown),
    [] ).

cnf(10,plain,
    equal(multiply(h,b),j),
    file('GRP002-2.p',unknown),
    [] ).

cnf(11,plain,
    equal(multiply(j,inverse(h)),k),
    file('GRP002-2.p',unknown),
    [] ).

cnf(12,plain,
    ~ equal(multiply(k,inverse(b)),identity),
    file('GRP002-2.p',unknown),
    [] ).

cnf(14,plain,
    equal(multiply(inverse(A),multiply(A,B)),B),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,3]),1]),1]),
    [iquote('para(2,3),demod([1]),flip(1)')] ).

cnf(17,plain,
    equal(multiply(A,multiply(A,multiply(A,B))),B),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,3]),1,3]),1]),
    [iquote('para(6,3),demod([1,3]),flip(1)')] ).

cnf(18,plain,
    equal(multiply(A,multiply(B,multiply(A,multiply(B,multiply(A,B))))),identity),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,6]),3]),
    [iquote('para(3,6),demod([3])')] ).

cnf(19,plain,
    equal(multiply(c,A),multiply(a,multiply(b,A))),
    inference(para,[status(thm),theory(equality)],[7,3]),
    [iquote('para(7,3)')] ).

cnf(20,plain,
    equal(multiply(a,multiply(b,inverse(a))),d),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),19]),
    [iquote('back_demod(8),demod([19])')] ).

cnf(21,plain,
    equal(multiply(d,multiply(inverse(b),A)),multiply(h,A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,3]),1]),
    [iquote('para(9,3),flip(1)')] ).

cnf(22,plain,
    equal(multiply(j,A),multiply(h,multiply(b,A))),
    inference(para,[status(thm),theory(equality)],[10,3]),
    [iquote('para(10,3)')] ).

cnf(23,plain,
    equal(multiply(h,multiply(b,inverse(h))),k),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),22]),
    [iquote('back_demod(11),demod([22])')] ).

cnf(26,plain,
    equal(multiply(inverse(multiply(A,B)),multiply(A,multiply(B,C))),C),
    inference(para,[status(thm),theory(equality)],[3,14]),
    [iquote('para(3,14)')] ).

cnf(27,plain,
    equal(inverse(A),multiply(A,A)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,14]),4]),
    [iquote('para(6,14),demod([4])')] ).

cnf(28,plain,
    equal(multiply(A,multiply(B,multiply(A,multiply(B,multiply(A,multiply(B,C)))))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[26]),27,3,3,3,3]),
    [iquote('back_demod(26),demod([27,3,3,3,3])')] ).

cnf(30,plain,
    equal(multiply(h,multiply(b,multiply(h,h))),k),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[23]),27]),
    [iquote('back_demod(23),demod([27])')] ).

cnf(31,plain,
    equal(multiply(h,A),multiply(d,multiply(b,multiply(b,A)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),27,3]),1]),
    [iquote('back_demod(21),demod([27,3]),flip(1)')] ).

cnf(32,plain,
    equal(multiply(d,multiply(d,multiply(b,multiply(b,h)))),k),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[30]),31,31,17]),
    [iquote('back_demod(30),demod([31,31,17])')] ).

cnf(35,plain,
    equal(multiply(a,multiply(b,multiply(a,a))),d),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[20]),27]),
    [iquote('back_demod(20),demod([27])')] ).

cnf(36,plain,
    ~ equal(multiply(k,multiply(b,b)),identity),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),27]),
    [iquote('back_demod(12),demod([27])')] ).

cnf(38,plain,
    equal(multiply(A,multiply(B,multiply(C,multiply(A,multiply(B,multiply(C,multiply(A,multiply(B,C)))))))),identity),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,18]),3,3]),
    [iquote('para(3,18),demod([3,3])')] ).

cnf(39,plain,
    equal(multiply(a,multiply(b,multiply(a,multiply(b,c)))),identity),
    inference(para,[status(thm),theory(equality)],[7,18]),
    [iquote('para(7,18)')] ).

cnf(44,plain,
    equal(multiply(b,multiply(a,a)),multiply(a,multiply(a,d))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[35,17]),1]),
    [iquote('para(35,17),flip(1)')] ).

cnf(45,plain,
    equal(multiply(A,multiply(B,multiply(A,multiply(B,multiply(A,C))))),multiply(B,multiply(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,17]),1]),
    [iquote('para(28,17),flip(1)')] ).

cnf(47,plain,
    equal(multiply(k,A),multiply(d,multiply(d,multiply(b,multiply(b,multiply(d,multiply(b,multiply(b,A)))))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[32,3]),3,3,3,31]),
    [iquote('para(32,3),demod([3,3,3,31])')] ).

cnf(48,plain,
    ~ equal(multiply(d,multiply(d,multiply(b,multiply(b,multiply(d,b))))),identity),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[36]),47,6,4]),
    [iquote('back_demod(36),demod([47,6,4])')] ).

cnf(52,plain,
    equal(multiply(b,multiply(a,multiply(b,c))),multiply(a,a)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[39,17]),4]),1]),
    [iquote('para(39,17),demod([4]),flip(1)')] ).

cnf(54,plain,
    equal(multiply(A,multiply(a,multiply(b,multiply(A,multiply(a,multiply(b,multiply(A,c))))))),identity),
    inference(para,[status(thm),theory(equality)],[7,38]),
    [iquote('para(7,38)')] ).

cnf(57,plain,
    equal(multiply(b,multiply(a,multiply(a,d))),multiply(a,multiply(b,c))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[52,17]),44]),
    [iquote('para(52,17),demod([44])')] ).

cnf(61,plain,
    equal(multiply(a,multiply(a,multiply(d,A))),multiply(b,multiply(a,multiply(a,A)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[44,3]),3,3,3]),
    [iquote('para(44,3),demod([3,3,3])')] ).

cnf(94,plain,
    equal(multiply(d,A),multiply(a,multiply(b,multiply(a,multiply(a,A))))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[61,17]),1]),
    [iquote('para(61,17),flip(1)')] ).

cnf(104,plain,
    ~ equal(multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,multiply(a,c)))))))))),identity),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[48]),94,7,94,94,17]),
    [iquote('back_demod(48),demod([94,7,94,94,17])')] ).

cnf(109,plain,
    equal(multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,c))))),a),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[54,17]),4]),1]),
    [iquote('para(54,17),demod([4]),flip(1)')] ).

cnf(110,plain,
    equal(multiply(b,multiply(b,a)),multiply(a,multiply(a,multiply(b,multiply(a,c))))),
    inference(para,[status(thm),theory(equality)],[109,17]),
    [iquote('para(109,17)')] ).

cnf(125,plain,
    equal(multiply(b,multiply(b,multiply(a,A))),multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,A))))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[110,3]),3,3,3,3,19,3]),1]),
    [iquote('para(110,3),demod([3,3,3,3,19,3]),flip(1)')] ).

cnf(128,plain,
    ~ equal(identity,identity),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[104]),125,125,17,45,52,44,17,57,52,6]),
    [iquote('back_demod(104),demod([125,125,17,45,52,44,17,57,52,6])')] ).

cnf(129,plain,
    $false,
    inference(conflict,[status(thm)],[128]),
    [iquote('xx_conflict(128)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.34  % Computer : n008.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 Jun 13 06:59:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.68/1.09  ----- EQP 0.9e, May 2009 -----
% 0.68/1.09  The job began on n008.cluster.edu, Mon Jun 13 06:59:53 2022
% 0.68/1.09  The command was "./eqp09e".
% 0.68/1.09  
% 0.68/1.09  set(prolog_style_variables).
% 0.68/1.09  set(lrpo).
% 0.68/1.09  set(basic_paramod).
% 0.68/1.09  set(functional_subsume).
% 0.68/1.09  set(ordered_paramod).
% 0.68/1.09  set(prime_paramod).
% 0.68/1.09  set(para_pairs).
% 0.68/1.09  assign(pick_given_ratio,4).
% 0.68/1.09  clear(print_kept).
% 0.68/1.09  clear(print_new_demod).
% 0.68/1.09  clear(print_back_demod).
% 0.68/1.09  clear(print_given).
% 0.68/1.09  assign(max_mem,64000).
% 0.68/1.09  end_of_commands.
% 0.68/1.09  
% 0.68/1.09  Usable:
% 0.68/1.09  end_of_list.
% 0.68/1.09  
% 0.68/1.09  Sos:
% 0.68/1.09  0 (wt=-1) [] multiply(identity,A) = A.
% 0.68/1.09  0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.68/1.09  0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.68/1.09  0 (wt=-1) [] multiply(A,identity) = A.
% 0.68/1.09  0 (wt=-1) [] multiply(A,inverse(A)) = identity.
% 0.68/1.09  0 (wt=-1) [] multiply(A,multiply(A,A)) = identity.
% 0.68/1.09  0 (wt=-1) [] multiply(a,b) = c.
% 0.68/1.09  0 (wt=-1) [] multiply(c,inverse(a)) = d.
% 0.68/1.09  0 (wt=-1) [] multiply(d,inverse(b)) = h.
% 0.68/1.09  0 (wt=-1) [] multiply(h,b) = j.
% 0.68/1.09  0 (wt=-1) [] multiply(j,inverse(h)) = k.
% 0.68/1.09  0 (wt=-1) [] -(multiply(k,inverse(b)) = identity).
% 0.68/1.09  end_of_list.
% 0.68/1.09  
% 0.68/1.09  Demodulators:
% 0.68/1.09  end_of_list.
% 0.68/1.09  
% 0.68/1.09  Passive:
% 0.68/1.09  end_of_list.
% 0.68/1.09  
% 0.68/1.09  Starting to process input.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.68/1.09  1 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.68/1.09  2 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.68/1.09  3 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 4 (wt=5) [] multiply(A,identity) = A.
% 0.68/1.09  4 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.68/1.09  5 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 6 (wt=7) [] multiply(A,multiply(A,A)) = identity.
% 0.68/1.09  6 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 7 (wt=5) [] multiply(a,b) = c.
% 0.68/1.09  7 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 8 (wt=6) [] multiply(c,inverse(a)) = d.
% 0.68/1.09  8 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 9 (wt=6) [] multiply(d,inverse(b)) = h.
% 0.68/1.09  9 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 10 (wt=5) [] multiply(h,b) = j.
% 0.68/1.09  10 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 11 (wt=6) [] multiply(j,inverse(h)) = k.
% 0.68/1.09  11 is a new demodulator.
% 0.68/1.09  
% 0.68/1.09  ** KEPT: 12 (wt=6) [] -(multiply(k,inverse(b)) = identity).
% 0.68/1.09  ---------------- PROOF FOUND ----------------
% 0.68/1.09  % SZS status Unsatisfiable
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  After processing input:
% 0.68/1.09  
% 0.68/1.09  Usable:
% 0.68/1.09  end_of_list.
% 0.68/1.09  
% 0.68/1.09  Sos:
% 0.68/1.09  1 (wt=5) [] multiply(identity,A) = A.
% 0.68/1.09  4 (wt=5) [] multiply(A,identity) = A.
% 0.68/1.09  7 (wt=5) [] multiply(a,b) = c.
% 0.68/1.09  10 (wt=5) [] multiply(h,b) = j.
% 0.68/1.09  2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.68/1.09  5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.68/1.09  8 (wt=6) [] multiply(c,inverse(a)) = d.
% 0.68/1.09  9 (wt=6) [] multiply(d,inverse(b)) = h.
% 0.68/1.09  11 (wt=6) [] multiply(j,inverse(h)) = k.
% 0.68/1.09  12 (wt=6) [] -(multiply(k,inverse(b)) = identity).
% 0.68/1.09  6 (wt=7) [] multiply(A,multiply(A,A)) = identity.
% 0.68/1.09  3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.68/1.09  end_of_list.
% 0.68/1.09  
% 0.68/1.09  Demodulators:
% 0.68/1.09  1 (wt=5) [] multiply(identity,A) = A.
% 0.68/1.09  2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.68/1.09  3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.68/1.09  4 (wt=5) [] multiply(A,identity) = A.
% 0.68/1.09  5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.68/1.09  6 (wt=7) [] multiply(A,multiply(A,A)) = identity.
% 0.68/1.09  7 (wt=5) [] multiply(a,b) = c.
% 0.68/1.09  8 (wt=6) [] multiply(c,inverse(a)) = d.
% 0.68/1.09  9 (wt=6) [] multiply(d,inverse(b)) = h.
% 0.68/1.09  10 (wt=5) [] multiply(h,b) = j.
% 0.68/1.09  11 (wt=6) [] multiply(j,inverse(h)) = k.
% 0.68/1.09  end_of_list.
% 0.68/1.09  
% 0.68/1.09  Passive:
% 0.68/1.09  end_of_list.
% 0.68/1.09  
% 0.68/1.09  UNIT CONFLICT from 128 and x=x at   0.01 seconds.
% 0.68/1.09  
% 0.68/1.09  ---------------- PROOF ----------------
% 0.68/1.09  % SZS output start Refutation
% See solution above
% 0.68/1.09  ------------ end of proof -------------
% 0.68/1.09  
% 0.68/1.09  
% 0.68/1.09  ------------- memory usage ------------
% 0.68/1.09  Memory dynamically allocated (tp_alloc): 488.
% 0.68/1.09    type (bytes each)        gets      frees     in use      avail      bytes
% 0.68/1.09  sym_ent (  96)               61          0         61          0      5.7 K
% 0.68/1.09  term (  16)               15352      13400       1952         50     38.6 K
% 0.68/1.09  gen_ptr (   8)            12668       3458       9210         43     72.3 K
% 0.68/1.09  context ( 808)            15331      15329          2         11     10.3 K
% 0.68/1.09  trail (  12)                592        592          0          5      0.1 K
% 0.68/1.09  bt_node (  68)             8562       8559          3          8      0.7 K
% 0.68/1.09  ac_position (285432)          0          0          0          0      0.0 K
% 0.68/1.09  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.68/1.09  ac_match_free_vars_pos (4020)
% 0.68/1.09                                0          0          0          0      0.0 K
% 0.68/1.09  discrim (  12)             1645        732        913         64     11.4 K
% 0.68/1.09  flat (  40)               29885      29885          0         29      1.1 K
% 0.68/1.09  discrim_pos (  12)         1026       1026          0          1      0.0 K
% 0.68/1.09  fpa_head (  12)             345          0        345          0      4.0 K
% 0.68/1.09  fpa_tree (  28)             733        733          0         47      1.3 K
% 0.68/1.09  fpa_pos (  36)              228        228          0          1      0.0 K
% 0.68/1.09  literal (  12)              528        400        128          0      1.5 K
% 0.68/1.09  clause (  24)               528        400        128          0      3.0 K
% 0.68/1.09  list (  12)                 160        103         57          2      0.7 K
% 0.68/1.09  list_pos (  20)             628        329        299          7      6.0 K
% 0.68/1.09  pair_index (   40)              2          0          2          0      0.1 K
% 0.68/1.09  
% 0.68/1.09  -------------- statistics -------------
% 0.68/1.09  Clauses input                 12
% 0.68/1.09    Usable input                   0
% 0.68/1.09    Sos input                     12
% 0.68/1.09    Demodulators input             0
% 0.68/1.09    Passive input                  0
% 0.68/1.09  
% 0.68/1.09  Processed BS (before search)  12
% 0.68/1.09  Forward subsumed BS            0
% 0.68/1.09  Kept BS                       12
% 0.68/1.09  New demodulators BS           11
% 0.68/1.09  Back demodulated BS            0
% 0.68/1.09  
% 0.68/1.09  Clauses or pairs given       838
% 0.68/1.09  Clauses generated            369
% 0.68/1.09  Forward subsumed             253
% 0.68/1.09  Deleted by weight              0
% 0.68/1.09  Deleted by variable count      0
% 0.68/1.09  Kept                         116
% 0.68/1.09  New demodulators              90
% 0.68/1.09  Back demodulated              64
% 0.68/1.09  Ordered paramod prunes         0
% 0.68/1.09  Basic paramod prunes        2554
% 0.68/1.09  Prime paramod prunes         130
% 0.68/1.09  Semantic prunes                0
% 0.68/1.09  
% 0.68/1.09  Rewrite attmepts            5566
% 0.68/1.09  Rewrites                     881
% 0.68/1.09  
% 0.68/1.09  FPA overloads                  0
% 0.68/1.09  FPA underloads                 0
% 0.68/1.09  
% 0.68/1.09  Usable size                    0
% 0.68/1.09  Sos size                      63
% 0.68/1.09  Demodulators size             41
% 0.68/1.09  Passive size                   0
% 0.68/1.09  Disabled size                 64
% 0.68/1.09  
% 0.68/1.09  Proofs found                   1
% 0.68/1.09  
% 0.68/1.09  ----------- times (seconds) ----------- Mon Jun 13 06:59:53 2022
% 0.68/1.09  
% 0.68/1.09  user CPU time             0.01   (0 hr, 0 min, 0 sec)
% 0.68/1.09  system CPU time           0.01   (0 hr, 0 min, 0 sec)
% 0.68/1.09  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.68/1.09  input time                0.00
% 0.68/1.09  paramodulation time       0.00
% 0.68/1.09  demodulation time         0.00
% 0.68/1.09  orient time               0.00
% 0.68/1.09  weigh time                0.00
% 0.68/1.09  forward subsume time      0.00
% 0.68/1.09  back demod find time      0.00
% 0.68/1.09  conflict time             0.00
% 0.68/1.09  LRPO time                 0.00
% 0.68/1.09  store clause time         0.00
% 0.68/1.09  disable clause time       0.00
% 0.68/1.09  prime paramod time        0.00
% 0.68/1.09  semantics time            0.00
% 0.68/1.09  
% 0.68/1.09  EQP interrupted
%------------------------------------------------------------------------------