TSTP Solution File: BOO008-4 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : BOO008-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n029.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 14 23:37:05 EDT 2022

% Result   : Unsatisfiable 2.10s 2.53s
% Output   : Refutation 2.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   55 (  55 unt;   0 nHn;   2 RR)
%            Number of literals    :   55 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  129 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(add(A,B),add(B,A)),
    file('BOO008-4.p',unknown),
    [] ).

cnf(2,plain,
    equal(multiply(A,B),multiply(B,A)),
    file('BOO008-4.p',unknown),
    [] ).

cnf(3,plain,
    equal(multiply(add(A,B),add(A,C)),add(A,multiply(B,C))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(4,plain,
    equal(multiply(A,add(B,C)),add(multiply(A,B),multiply(A,C))),
    file('BOO008-4.p',unknown),
    [] ).

cnf(5,plain,
    equal(add(multiply(add(A,B),A),multiply(add(A,B),C)),add(A,multiply(B,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),4]),
    [iquote('back_demod(3),demod([4])')] ).

cnf(6,plain,
    equal(add(A,additive_identity),A),
    file('BOO008-4.p',unknown),
    [] ).

cnf(7,plain,
    equal(multiply(A,multiplicative_identity),A),
    file('BOO008-4.p',unknown),
    [] ).

cnf(8,plain,
    equal(add(A,inverse(A)),multiplicative_identity),
    file('BOO008-4.p',unknown),
    [] ).

cnf(9,plain,
    equal(multiply(A,inverse(A)),additive_identity),
    file('BOO008-4.p',unknown),
    [] ).

cnf(10,plain,
    ~ equal(add(add(a,b),c),add(a,add(b,c))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(11,plain,
    equal(add(additive_identity,A),A),
    inference(para,[status(thm),theory(equality)],[1,6]),
    [iquote('para(1,6)')] ).

cnf(13,plain,
    equal(add(multiply(A,B),multiply(A,C)),multiply(add(B,C),A)),
    inference(para,[status(thm),theory(equality)],[4,2]),
    [iquote('para(4,2)')] ).

cnf(15,plain,
    equal(multiply(multiplicative_identity,A),A),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,2]),1]),
    [iquote('para(7,2),flip(1)')] ).

cnf(24,plain,
    equal(add(add(multiply(add(add(A,B),C),A),multiply(add(add(A,B),C),B)),multiply(add(add(A,B),C),D)),add(add(A,B),multiply(C,D))),
    inference(para,[status(thm),theory(equality)],[4,5]),
    [iquote('para(4,5)')] ).

cnf(25,plain,
    equal(add(multiply(add(A,B),A),add(multiply(add(A,B),C),multiply(add(A,B),D))),add(A,add(multiply(B,C),multiply(B,D)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,5]),4]),
    [iquote('para(4,5),demod([4])')] ).

cnf(28,plain,
    equal(add(multiply(A,A),multiply(A,B)),add(A,multiply(additive_identity,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,5]),6]),
    [iquote('para(6,5),demod([6])')] ).

cnf(29,plain,
    equal(add(A,multiply(additive_identity,B)),add(multiply(A,A),multiply(A,B))),
    inference(flip,[status(thm),theory(equality)],[28]),
    [iquote('flip(28)')] ).

cnf(33,plain,
    equal(add(multiply(A,B),multiply(A,inverse(B))),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,4]),7]),1]),
    [iquote('para(8,4),demod([7]),flip(1)')] ).

cnf(34,plain,
    equal(multiply(inverse(A),A),additive_identity),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,2]),1]),
    [iquote('para(9,2),flip(1)')] ).

cnf(35,plain,
    equal(add(A,multiply(inverse(A),B)),add(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,5]),15,8,15]),1]),
    [iquote('para(8,5),demod([15,8,15]),flip(1)')] ).

cnf(46,plain,
    equal(add(multiply(A,B),multiply(B,C)),multiply(add(A,C),B)),
    inference(para,[status(thm),theory(equality)],[2,13]),
    [iquote('para(2,13)')] ).

cnf(59,plain,
    equal(add(A,multiply(A,B)),multiply(add(multiplicative_identity,B),A)),
    inference(para,[status(thm),theory(equality)],[7,13]),
    [iquote('para(7,13)')] ).

cnf(60,plain,
    equal(multiply(add(multiplicative_identity,A),B),add(B,multiply(B,A))),
    inference(flip,[status(thm),theory(equality)],[59]),
    [iquote('flip(59)')] ).

cnf(61,plain,
    equal(add(multiply(A,B),A),multiply(add(B,multiplicative_identity),A)),
    inference(para,[status(thm),theory(equality)],[7,13]),
    [iquote('para(7,13)')] ).

cnf(62,plain,
    equal(multiply(add(A,multiplicative_identity),B),add(multiply(B,A),B)),
    inference(flip,[status(thm),theory(equality)],[61]),
    [iquote('flip(61)')] ).

cnf(63,plain,
    equal(add(A,multiplicative_identity),multiplicative_identity),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,35]),8]),1]),
    [iquote('para(7,35),demod([8]),flip(1)')] ).

cnf(64,plain,
    equal(add(multiply(A,B),A),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[62]),63,15]),1]),
    [iquote('back_demod(62),demod([63,15]),flip(1)')] ).

cnf(67,plain,
    equal(add(multiplicative_identity,A),multiplicative_identity),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[63,1]),1]),
    [iquote('para(63,1),flip(1)')] ).

cnf(68,plain,
    equal(add(A,multiply(A,B)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[60]),67,15]),1]),
    [iquote('back_demod(60),demod([67,15]),flip(1)')] ).

cnf(70,plain,
    equal(multiply(additive_identity,A),additive_identity),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[64,6]),1]),
    [iquote('para(64,6),flip(1)')] ).

cnf(71,plain,
    equal(add(multiply(A,A),multiply(A,B)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),70,6]),1]),
    [iquote('back_demod(29),demod([70,6]),flip(1)')] ).

cnf(73,plain,
    equal(add(A,A),A),
    inference(para,[status(thm),theory(equality)],[7,64]),
    [iquote('para(7,64)')] ).

cnf(83,plain,
    equal(add(multiply(A,B),B),B),
    inference(para,[status(thm),theory(equality)],[2,64]),
    [iquote('para(2,64)')] ).

cnf(84,plain,
    equal(add(A,multiply(B,A)),A),
    inference(para,[status(thm),theory(equality)],[2,68]),
    [iquote('para(2,68)')] ).

cnf(95,plain,
    equal(multiply(A,A),A),
    inference(para,[status(thm),theory(equality)],[73,71]),
    [iquote('para(73,71)')] ).

cnf(183,plain,
    equal(add(multiply(A,B),multiply(B,inverse(A))),B),
    inference(para,[status(thm),theory(equality)],[2,33]),
    [iquote('para(2,33)')] ).

cnf(184,plain,
    equal(add(multiply(A,B),multiply(inverse(B),A)),A),
    inference(para,[status(thm),theory(equality)],[2,33]),
    [iquote('para(2,33)')] ).

cnf(191,plain,
    equal(add(add(multiply(add(add(A,add(B,C)),D),A),add(multiply(add(add(A,add(B,C)),D),B),multiply(add(add(A,add(B,C)),D),C))),multiply(add(add(A,add(B,C)),D),E)),add(add(A,add(B,C)),multiply(D,E))),
    inference(para,[status(thm),theory(equality)],[4,24]),
    [iquote('para(4,24)')] ).

cnf(212,plain,
    equal(add(multiply(add(A,B),A),add(multiply(add(A,B),C),add(multiply(add(A,B),D),multiply(add(A,B),E)))),add(A,add(multiply(B,C),add(multiply(B,D),multiply(B,E))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,25]),4]),
    [iquote('para(4,25),demod([4])')] ).

cnf(216,plain,
    equal(add(A,add(multiply(A,B),multiply(A,C))),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,25]),95,6,6,70,70,73,6]),
    [iquote('para(6,25),demod([95,6,6,70,70,73,6])')] ).

cnf(217,plain,
    equal(add(A,add(multiply(inverse(A),B),multiply(inverse(A),C))),add(A,add(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,25]),15,8,15,8,15]),1]),
    [iquote('para(8,25),demod([15,8,15,8,15]),flip(1)')] ).

cnf(220,plain,
    equal(add(multiply(A,B),multiply(inverse(A),B)),B),
    inference(para,[status(thm),theory(equality)],[2,183]),
    [iquote('para(2,183)')] ).

cnf(279,plain,
    equal(add(A,add(multiply(B,A),multiply(A,C))),A),
    inference(para,[status(thm),theory(equality)],[2,216]),
    [iquote('para(2,216)')] ).

cnf(300,plain,
    equal(add(A,add(multiply(B,A),multiply(C,A))),A),
    inference(para,[status(thm),theory(equality)],[2,279]),
    [iquote('para(2,279)')] ).

cnf(326,plain,
    equal(multiply(add(A,B),C),add(multiply(A,C),multiply(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,46]),1]),
    [iquote('para(2,46),flip(1)')] ).

cnf(387,plain,
    equal(add(A,add(add(multiply(A,B),multiply(C,B)),add(add(multiply(A,D),multiply(C,D)),add(multiply(A,E),multiply(C,E))))),add(A,add(multiply(C,B),add(multiply(C,D),multiply(C,E))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[212]),326,95,84,326,326,326]),
    [iquote('back_demod(212),demod([326,95,84,326,326,326])')] ).

cnf(403,plain,
    equal(add(add(A,add(B,C)),add(add(multiply(A,D),add(multiply(B,D),multiply(C,D))),multiply(E,D))),add(add(A,add(B,C)),multiply(E,D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[191]),326,326,95,326,300,84,326,326,326,95,84,83,84,326,326,326,95,83,83,84,326,326,326]),
    [iquote('back_demod(191),demod([326,326,95,326,300,84,326,326,326,95,84,83,84,326,326,326,95,83,83,84,326,326,326])')] ).

cnf(2191,plain,
    equal(add(A,add(B,add(A,C))),add(A,add(B,C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[184,387]),220,220,34,11,217]),
    [iquote('para(184,387),demod([220,220,34,11,217])')] ).

cnf(2967,plain,
    equal(add(add(A,add(B,C)),multiply(D,B)),add(add(A,add(B,C)),B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[95,403]),84,83,84]),1]),
    [iquote('para(95,403),demod([84,83,84]),flip(1)')] ).

cnf(5412,plain,
    equal(add(add(A,add(B,C)),B),add(B,add(A,C))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2191,1]),1]),
    [iquote('para(2191,1),flip(1)')] ).

cnf(5413,plain,
    equal(add(add(A,add(B,C)),multiply(D,B)),add(B,add(A,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2967]),5412]),
    [iquote('back_demod(2967),demod([5412])')] ).

cnf(5854,plain,
    equal(add(A,add(B,C)),add(B,add(A,C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,5413]),6]),
    [iquote('para(70,5413),demod([6])')] ).

cnf(5855,plain,
    equal(add(A,add(B,C)),add(add(A,C),B)),
    inference(para,[status(thm),theory(equality)],[5854,1]),
    [iquote('para(5854,1)')] ).

cnf(5874,plain,
    equal(add(add(A,B),C),add(A,add(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,5855]),1]),
    [iquote('para(1,5855),flip(1)')] ).

cnf(5875,plain,
    $false,
    inference(conflict,[status(thm)],[5874,10]),
    [iquote('conflict(5874,10)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : BOO008-4 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun  1 16:37:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.10/2.53  ----- EQP 0.9e, May 2009 -----
% 2.10/2.53  The job began on n029.cluster.edu, Wed Jun  1 16:37:31 2022
% 2.10/2.53  The command was "./eqp09e".
% 2.10/2.53  
% 2.10/2.53  set(prolog_style_variables).
% 2.10/2.53  set(lrpo).
% 2.10/2.53  set(basic_paramod).
% 2.10/2.53  set(functional_subsume).
% 2.10/2.53  set(ordered_paramod).
% 2.10/2.53  set(prime_paramod).
% 2.10/2.53  set(para_pairs).
% 2.10/2.53  assign(pick_given_ratio,4).
% 2.10/2.53  clear(print_kept).
% 2.10/2.53  clear(print_new_demod).
% 2.10/2.53  clear(print_back_demod).
% 2.10/2.53  clear(print_given).
% 2.10/2.53  assign(max_mem,64000).
% 2.10/2.53  end_of_commands.
% 2.10/2.53  
% 2.10/2.53  Usable:
% 2.10/2.53  end_of_list.
% 2.10/2.53  
% 2.10/2.53  Sos:
% 2.10/2.53  0 (wt=-1) [] add(A,B) = add(B,A).
% 2.10/2.53  0 (wt=-1) [] multiply(A,B) = multiply(B,A).
% 2.10/2.53  0 (wt=-1) [] add(A,multiply(B,C)) = multiply(add(A,B),add(A,C)).
% 2.10/2.53  0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 2.10/2.53  0 (wt=-1) [] add(A,additive_identity) = A.
% 2.10/2.53  0 (wt=-1) [] multiply(A,multiplicative_identity) = A.
% 2.10/2.53  0 (wt=-1) [] add(A,inverse(A)) = multiplicative_identity.
% 2.10/2.53  0 (wt=-1) [] multiply(A,inverse(A)) = additive_identity.
% 2.10/2.53  0 (wt=-1) [] -(add(a,add(b,c)) = add(add(a,b),c)).
% 2.10/2.53  end_of_list.
% 2.10/2.53  
% 2.10/2.53  Demodulators:
% 2.10/2.53  end_of_list.
% 2.10/2.53  
% 2.10/2.53  Passive:
% 2.10/2.53  end_of_list.
% 2.10/2.53  
% 2.10/2.53  Starting to process input.
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 2.10/2.53  clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 2.10/2.53  clause forward subsumed: 0 (wt=7) [flip(2)] multiply(B,A) = multiply(A,B).
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 3 (wt=13) [flip(1)] multiply(add(A,B),add(A,C)) = add(A,multiply(B,C)).
% 2.10/2.53  3 is a new demodulator.
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 2.10/2.53  4 is a new demodulator.
% 2.10/2.53      -> 4 back demodulating 3.
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 2.10/2.53  5 is a new demodulator.
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 6 (wt=5) [] add(A,additive_identity) = A.
% 2.10/2.53  6 is a new demodulator.
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 2.10/2.53  7 is a new demodulator.
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 2.10/2.53  8 is a new demodulator.
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 2.10/2.53  9 is a new demodulator.
% 2.10/2.53  
% 2.10/2.53  ** KEPT: 10 (wt=11) [flip(1)] -(add(add(a,b),c) = add(a,add(b,c))).
% 2.10/2.53  ---------------- PROOF FOUND ----------------
% 2.10/2.53  % SZS status Unsatisfiable
% 2.10/2.53  
% 2.10/2.53  
% 2.10/2.53  After processing input:
% 2.10/2.53  
% 2.10/2.53  Usable:
% 2.10/2.53  end_of_list.
% 2.10/2.53  
% 2.10/2.53  Sos:
% 2.10/2.53  6 (wt=5) [] add(A,additive_identity) = A.
% 2.10/2.53  7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 2.10/2.53  8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 2.10/2.53  9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 2.10/2.53  1 (wt=7) [] add(A,B) = add(B,A).
% 2.10/2.53  2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 2.10/2.53  10 (wt=11) [flip(1)] -(add(add(a,b),c) = add(a,add(b,c))).
% 2.10/2.53  4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 2.10/2.53  5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 2.10/2.53  end_of_list.
% 2.10/2.53  
% 2.10/2.53  Demodulators:
% 2.10/2.53  4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 2.10/2.53  5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 2.10/2.53  6 (wt=5) [] add(A,additive_identity) = A.
% 2.10/2.53  7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 2.10/2.53  8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 2.10/2.53  9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 2.10/2.53  end_of_list.
% 2.10/2.53  
% 2.10/2.53  Passive:
% 2.10/2.53  end_of_list.
% 2.10/2.53  
% 2.10/2.53  UNIT CONFLICT from 5874 and 10 at   1.09 seconds.
% 2.10/2.53  
% 2.10/2.53  ---------------- PROOF ----------------
% 2.10/2.53  % SZS output start Refutation
% See solution above
% 2.10/2.53  ------------ end of proof -------------
% 2.10/2.53  
% 2.10/2.53  
% 2.10/2.53  ------------- memory usage ------------
% 2.10/2.53  Memory dynamically allocated (tp_alloc): 14648.
% 2.10/2.53    type (bytes each)        gets      frees     in use      avail      bytes
% 2.10/2.53  sym_ent (  96)               59          0         59          0      5.5 K
% 2.10/2.53  term (  16)             1101106     890135     210971         51   4098.6 K
% 2.10/2.53  gen_ptr (   8)          1253143     237653    1015490         54   7933.9 K
% 2.10/2.53  context ( 808)           881992     881990          2          5      5.5 K
% 2.10/2.53  trail (  12)             589956     589956          0          9      0.1 K
% 2.10/2.53  bt_node (  68)           395089     395086          3         46      3.3 K
% 2.10/2.53  ac_position (285432)          0          0          0          0      0.0 K
% 2.10/2.53  ac_match_pos (14044)          0          0          0          0      0.0 K
% 2.10/2.53  ac_match_free_vars_pos (4020)
% 2.10/2.53                                0          0          0          0      0.0 K
% 2.10/2.53  discrim (  12)           161778      40936     120842          0   1416.1 K
% 2.10/2.53  flat (  40)             2558043    2558043          0        147      5.7 K
% 2.10/2.53  discrim_pos (  12)        70464      70464          0          1      0.0 K
% 2.10/2.53  fpa_head (  12)            9494          0       9494          0    111.3 K
% 2.10/2.53  fpa_tree (  28)           25979      25979          0         49      1.3 K
% 2.10/2.53  fpa_pos (  36)             9105       9105          0          1      0.0 K
% 2.10/2.53  literal (  12)            41022      35148       5874          1     68.8 K
% 2.10/2.53  clause (  24)             41022      35148       5874          1    137.7 K
% 2.10/2.53  list (  12)                3290       3234         56          5      0.7 K
% 2.10/2.53  list_pos (  20)           23791       6630      17161          0    335.2 K
% 2.10/2.53  pair_index (   40)              2          0          2          0      0.1 K
% 2.10/2.53  
% 2.10/2.53  -------------- statistics -------------
% 2.10/2.53  Clauses input                  9
% 2.10/2.53    Usable input                   0
% 2.10/2.53    Sos input                      9
% 2.10/2.53    Demodulators input             0
% 2.10/2.53    Passive input                  0
% 2.10/2.53  
% 2.10/2.53  Processed BS (before search)  12
% 2.10/2.53  Forward subsumed BS            2
% 2.10/2.53  Kept BS                       10
% 2.10/2.54  New demodulators BS            7
% 2.10/2.54  Back demodulated BS            1
% 2.10/2.54  
% 2.10/2.54  Clauses or pairs given     53447
% 2.10/2.54  Clauses generated          28200
% 2.10/2.54  Forward subsumed           22336
% 2.10/2.54  Deleted by weight              0
% 2.10/2.54  Deleted by variable count      0
% 2.10/2.54  Kept                        5864
% 2.10/2.54  New demodulators            3224
% 2.10/2.54  Back demodulated            1447
% 2.10/2.54  Ordered paramod prunes         0
% 2.10/2.54  Basic paramod prunes      184449
% 2.10/2.54  Prime paramod prunes        2419
% 2.10/2.54  Semantic prunes                0
% 2.10/2.54  
% 2.10/2.54  Rewrite attmepts          417792
% 2.10/2.54  Rewrites                   64339
% 2.10/2.54  
% 2.10/2.54  FPA overloads                  0
% 2.10/2.54  FPA underloads                 0
% 2.10/2.54  
% 2.10/2.54  Usable size                    0
% 2.10/2.54  Sos size                    4425
% 2.10/2.54  Demodulators size           2438
% 2.10/2.54  Passive size                   0
% 2.10/2.54  Disabled size               1448
% 2.10/2.54  
% 2.10/2.54  Proofs found                   1
% 2.10/2.54  
% 2.10/2.54  ----------- times (seconds) ----------- Wed Jun  1 16:37:33 2022
% 2.10/2.54  
% 2.10/2.54  user CPU time             1.09   (0 hr, 0 min, 1 sec)
% 2.10/2.54  system CPU time           0.45   (0 hr, 0 min, 0 sec)
% 2.10/2.54  wall-clock time           2      (0 hr, 0 min, 2 sec)
% 2.10/2.54  input time                0.00
% 2.10/2.54  paramodulation time       0.15
% 2.10/2.54  demodulation time         0.14
% 2.10/2.54  orient time               0.04
% 2.10/2.54  weigh time                0.01
% 2.10/2.54  forward subsume time      0.03
% 2.10/2.54  back demod find time      0.31
% 2.10/2.54  conflict time             0.00
% 2.10/2.54  LRPO time                 0.02
% 2.10/2.54  store clause time         0.20
% 2.10/2.54  disable clause time       0.05
% 2.10/2.54  prime paramod time        0.04
% 2.10/2.54  semantics time            0.00
% 2.10/2.54  
% 2.10/2.54  EQP interrupted
%------------------------------------------------------------------------------