TSTP Solution File: MGT027-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n023.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  : 300s
% DateTime : Wed Jul 27 13:06:04 EDT 2022

% Result   : Unsatisfiable 4.71s 4.95s
% Output   : Refutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   51 (  14 unt;  26 nHn;  49 RR)
%            Number of literals    :  124 (   5 equ;  38 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | greater(cardinality_at_time(first_movers,sk1(B,A)),zero)
    | contracts_from(B,first_movers) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | greater_or_e_qual(sk1(B,A),B)
    | contracts_from(B,first_movers) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
    | contracts_from(B,first_movers) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ environment(A)
    | ~ in_environment(A,B)
    | ~ greater(cardinality_at_time(first_movers,B),zero)
    | ~ greater(cardinality_at_time(efficient_producers,B),zero)
    | subpopulations(first_movers,efficient_producers,A,B) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ in_environment(A,B)
    | ~ greater(C,B)
    | in_environment(A,C) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | in_environment(A,appear(efficient_producers,A)) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ greater(A,B)
    | ~ greater(B,C)
    | greater(A,C) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ greater_or_e_qual(A,B)
    | greater(A,B)
    | A = B ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ greater(A,B)
    | greater_or_e_qual(A,B) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( A != B
    | greater_or_e_qual(A,B) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ environment(A)
    | ~ in_environment(A,B)
    | ~ greater_or_e_qual(B,appear(efficient_producers,A))
    | greater(cardinality_at_time(efficient_producers,B),zero) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | greater(sk2(A),appear(efficient_producers,A)) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ environment(A)
    | ~ stable(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | ~ greater_or_e_qual(B,sk2(A))
    | greater(zero,growth_rate(first_movers,B)) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ greater(A,appear(efficient_producers,sk3))
    | ~ contracts_from(A,first_movers) ),
    file('MGT027-1.p',unknown),
    [] ).

cnf(15,axiom,
    A = A,
    file('MGT027-1.p',unknown),
    [] ).

cnf(16,axiom,
    environment(sk3),
    file('MGT027-1.p',unknown),
    [] ).

cnf(17,axiom,
    stable(sk3),
    file('MGT027-1.p',unknown),
    [] ).

cnf(18,plain,
    greater_or_e_qual(A,A),
    inference(hyper,[status(thm)],[15,10]),
    [iquote('hyper,15,10')] ).

cnf(20,plain,
    greater(sk2(sk3),appear(efficient_producers,sk3)),
    inference(hyper,[status(thm)],[17,12,16]),
    [iquote('hyper,17,12,16')] ).

cnf(21,plain,
    in_environment(sk3,appear(efficient_producers,sk3)),
    inference(hyper,[status(thm)],[17,6,16]),
    [iquote('hyper,17,6,16')] ).

cnf(32,plain,
    greater_or_e_qual(sk2(sk3),appear(efficient_producers,sk3)),
    inference(hyper,[status(thm)],[20,9]),
    [iquote('hyper,20,9')] ).

cnf(33,plain,
    in_environment(sk3,sk2(sk3)),
    inference(hyper,[status(thm)],[20,5,16,17,21]),
    [iquote('hyper,20,5,16,17,21')] ).

cnf(39,plain,
    ( greater_or_e_qual(sk1(sk2(sk3),sk3),sk2(sk3))
    | contracts_from(sk2(sk3),first_movers) ),
    inference(hyper,[status(thm)],[33,2,16,17]),
    [iquote('hyper,33,2,16,17')] ).

cnf(40,plain,
    ( greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
    | contracts_from(sk2(sk3),first_movers) ),
    inference(hyper,[status(thm)],[33,1,16,17]),
    [iquote('hyper,33,1,16,17')] ).

cnf(44,plain,
    greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero),
    inference(hyper,[status(thm)],[32,11,16,33]),
    [iquote('hyper,32,11,16,33')] ).

cnf(126,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | greater(sk1(sk2(sk3),sk3),sk2(sk3))
    | sk1(sk2(sk3),sk3) = sk2(sk3) ),
    inference(hyper,[status(thm)],[39,8]),
    [iquote('hyper,39,8')] ).

cnf(1816,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | sk1(sk2(sk3),sk3) = sk2(sk3)
    | in_environment(sk3,sk1(sk2(sk3),sk3)) ),
    inference(hyper,[status(thm)],[126,5,16,17,33]),
    [iquote('hyper,126,5,16,17,33')] ).

cnf(1834,plain,
    ( greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
    | contracts_from(sk2(sk3),first_movers)
    | greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
    inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[126,40])]),
    [iquote('para_from,126.3.1,40.1.1.2,factor_simp')] ).

cnf(1835,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
    | contracts_from(sk2(sk3),first_movers)
    | greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[126,3]),16,17,33])]),
    [iquote('para_from,126.3.1,3.4.2.2,unit_del,16,17,33,factor_simp')] ).

cnf(2133,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
    | contracts_from(sk2(sk3),first_movers)
    | in_environment(sk3,sk1(sk2(sk3),sk3)) ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[1816,3]),16,17,33])]),
    [iquote('para_from,1816.2.1,3.4.2.2,unit_del,16,17,33,factor_simp')] ).

cnf(2197,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | greater(sk1(sk2(sk3),sk3),sk2(sk3))
    | subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
    inference(hyper,[status(thm)],[1834,4,16,33,44]),
    [iquote('hyper,1834,4,16,33,44')] ).

cnf(2418,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)) ),
    inference(hyper,[status(thm)],[2197,7,20]),
    [iquote('hyper,2197,7,20')] ).

cnf(2419,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | in_environment(sk3,sk1(sk2(sk3),sk3)) ),
    inference(hyper,[status(thm)],[2197,5,16,17,33]),
    [iquote('hyper,2197,5,16,17,33')] ).

cnf(3390,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | greater_or_e_qual(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)) ),
    inference(hyper,[status(thm)],[2418,9]),
    [iquote('hyper,2418,9')] ).

cnf(3392,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3390,11,16,2419])])]),
    [iquote('hyper,3390,11,16,2419,factor_simp,factor_simp')] ).

cnf(3397,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3392,4,16,2419,40])])])]),
    [iquote('hyper,3392,4,16,2419,40,factor_simp,factor_simp,factor_simp')] ).

cnf(3399,plain,
    ( subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
    inference(hyper,[status(thm)],[3397,14,20]),
    [iquote('hyper,3397,14,20')] ).

cnf(3401,plain,
    ( subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
    | contracts_from(sk2(sk3),first_movers) ),
    inference(hyper,[status(thm)],[3399,13,16,17,39]),
    [iquote('hyper,3399,13,16,17,39')] ).

cnf(3434,plain,
    ( subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | contracts_from(sk2(sk3),first_movers) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3401,3,16,17,33])]),
    [iquote('hyper,3401,3,16,17,33,factor_simp')] ).

cnf(3435,plain,
    subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)),
    inference(hyper,[status(thm)],[3434,14,20]),
    [iquote('hyper,3434,14,20')] ).

cnf(3436,plain,
    greater(zero,growth_rate(first_movers,sk2(sk3))),
    inference(hyper,[status(thm)],[3435,13,16,17,18]),
    [iquote('hyper,3435,13,16,17,18')] ).

cnf(3442,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | in_environment(sk3,sk1(sk2(sk3),sk3)) ),
    inference(hyper,[status(thm)],[3436,2133]),
    [iquote('hyper,3436,2133')] ).

cnf(3443,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
    inference(hyper,[status(thm)],[3436,1835]),
    [iquote('hyper,3436,1835')] ).

cnf(3504,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)) ),
    inference(hyper,[status(thm)],[3443,7,20]),
    [iquote('hyper,3443,7,20')] ).

cnf(3557,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | greater_or_e_qual(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)) ),
    inference(hyper,[status(thm)],[3504,9]),
    [iquote('hyper,3504,9')] ).

cnf(3572,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3557,11,16,3442])]),
    [iquote('hyper,3557,11,16,3442,factor_simp')] ).

cnf(3584,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3572,4,16,3442,40])])]),
    [iquote('hyper,3572,4,16,3442,40,factor_simp,factor_simp')] ).

cnf(3601,plain,
    subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)),
    inference(hyper,[status(thm)],[3584,14,20]),
    [iquote('hyper,3584,14,20')] ).

cnf(3602,plain,
    ( greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
    | contracts_from(sk2(sk3),first_movers) ),
    inference(hyper,[status(thm)],[3601,13,16,17,39]),
    [iquote('hyper,3601,13,16,17,39')] ).

cnf(3615,plain,
    contracts_from(sk2(sk3),first_movers),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3602,3,16,17,33])]),
    [iquote('hyper,3602,3,16,17,33,factor_simp')] ).

cnf(3616,plain,
    $false,
    inference(hyper,[status(thm)],[3615,14,20]),
    [iquote('hyper,3615,14,20')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n023.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  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 04:22:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.93/2.13  ----- Otter 3.3f, August 2004 -----
% 1.93/2.13  The process was started by sandbox on n023.cluster.edu,
% 1.93/2.13  Wed Jul 27 04:22:03 2022
% 1.93/2.13  The command was "./otter".  The process ID is 8709.
% 1.93/2.13  
% 1.93/2.13  set(prolog_style_variables).
% 1.93/2.13  set(auto).
% 1.93/2.13     dependent: set(auto1).
% 1.93/2.13     dependent: set(process_input).
% 1.93/2.13     dependent: clear(print_kept).
% 1.93/2.13     dependent: clear(print_new_demod).
% 1.93/2.13     dependent: clear(print_back_demod).
% 1.93/2.13     dependent: clear(print_back_sub).
% 1.93/2.13     dependent: set(control_memory).
% 1.93/2.13     dependent: assign(max_mem, 12000).
% 1.93/2.13     dependent: assign(pick_given_ratio, 4).
% 1.93/2.13     dependent: assign(stats_level, 1).
% 1.93/2.13     dependent: assign(max_seconds, 10800).
% 1.93/2.13  clear(print_given).
% 1.93/2.13  
% 1.93/2.13  list(usable).
% 1.93/2.13  0 [] A=A.
% 1.93/2.13  0 [] -environment(A)| -stable(A)| -in_environment(A,B)|greater(cardinality_at_time(first_movers,sk1(B,A)),zero)|contracts_from(B,first_movers).
% 1.93/2.13  0 [] -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_e_qual(sk1(B,A),B)|contracts_from(B,first_movers).
% 1.93/2.13  0 [] -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,sk1(B,A)))|contracts_from(B,first_movers).
% 1.93/2.13  0 [] -environment(A)| -in_environment(A,B)| -greater(cardinality_at_time(first_movers,B),zero)| -greater(cardinality_at_time(efficient_producers,B),zero)|subpopulations(first_movers,efficient_producers,A,B).
% 1.93/2.13  0 [] -environment(A)| -stable(A)| -in_environment(A,B)| -greater(C,B)|in_environment(A,C).
% 1.93/2.13  0 [] -environment(A)| -stable(A)|in_environment(A,appear(efficient_producers,A)).
% 1.93/2.13  0 [] -greater(A,B)| -greater(B,C)|greater(A,C).
% 1.93/2.13  0 [] -greater_or_e_qual(A,B)|greater(A,B)|A=B.
% 1.93/2.13  0 [] -greater(A,B)|greater_or_e_qual(A,B).
% 1.93/2.13  0 [] A!=B|greater_or_e_qual(A,B).
% 1.93/2.13  0 [] -environment(A)| -in_environment(A,B)| -greater_or_e_qual(B,appear(efficient_producers,A))|greater(cardinality_at_time(efficient_producers,B),zero).
% 1.93/2.13  0 [] -environment(A)| -stable(A)|greater(sk2(A),appear(efficient_producers,A)).
% 1.93/2.13  0 [] -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_e_qual(B,sk2(A))|greater(zero,growth_rate(first_movers,B)).
% 1.93/2.13  0 [] environment(sk3).
% 1.93/2.13  0 [] stable(sk3).
% 1.93/2.13  0 [] -greater(A,appear(efficient_producers,sk3))| -contracts_from(A,first_movers).
% 1.93/2.13  end_of_list.
% 1.93/2.13  
% 1.93/2.13  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.93/2.13  
% 1.93/2.13  This ia a non-Horn set with equality.  The strategy will be
% 1.93/2.13  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.93/2.13  deletion, with positive clauses in sos and nonpositive
% 1.93/2.13  clauses in usable.
% 1.93/2.13  
% 1.93/2.13     dependent: set(knuth_bendix).
% 1.93/2.13     dependent: set(anl_eq).
% 1.93/2.13     dependent: set(para_from).
% 1.93/2.13     dependent: set(para_into).
% 1.93/2.13     dependent: clear(para_from_right).
% 1.93/2.13     dependent: clear(para_into_right).
% 1.93/2.13     dependent: set(para_from_vars).
% 1.93/2.13     dependent: set(eq_units_both_ways).
% 1.93/2.13     dependent: set(dynamic_demod_all).
% 1.93/2.13     dependent: set(dynamic_demod).
% 1.93/2.13     dependent: set(order_eq).
% 1.93/2.13     dependent: set(back_demod).
% 1.93/2.13     dependent: set(lrpo).
% 1.93/2.13     dependent: set(hyper_res).
% 1.93/2.13     dependent: set(unit_deletion).
% 1.93/2.13     dependent: set(factor).
% 1.93/2.13  
% 1.93/2.13  ------------> process usable:
% 1.93/2.13  ** KEPT (pick-wt=17): 1 [] -environment(A)| -stable(A)| -in_environment(A,B)|greater(cardinality_at_time(first_movers,sk1(B,A)),zero)|contracts_from(B,first_movers).
% 1.93/2.13  ** KEPT (pick-wt=15): 2 [] -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_e_qual(sk1(B,A),B)|contracts_from(B,first_movers).
% 1.93/2.13  ** KEPT (pick-wt=17): 3 [] -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,sk1(B,A)))|contracts_from(B,first_movers).
% 1.93/2.13  ** KEPT (pick-wt=20): 4 [] -environment(A)| -in_environment(A,B)| -greater(cardinality_at_time(first_movers,B),zero)| -greater(cardinality_at_time(efficient_producers,B),zero)|subpopulations(first_movers,efficient_producers,A,B).
% 1.93/2.13  ** KEPT (pick-wt=13): 5 [] -environment(A)| -stable(A)| -in_environment(A,B)| -greater(C,B)|in_environment(A,C).
% 1.93/2.13  ** KEPT (pick-wt=9): 6 [] -environment(A)| -stable(A)|in_environment(A,appear(efficient_producers,A)).
% 1.93/2.13  ** KEPT (pick-wt=9): 7 [] -greater(A,B)| -greater(B,C)|greater(A,C).
% 1.93/2.13  ** KEPT (pick-wt=9): 8 [] -greater_or_e_qual(A,B)|greater(A,B)|A=B.
% 1.93/2.13  ** KEPT (pick-wt=6): 9 [] -greater(A,B)|greater_or_e_qual(A,B).
% 1.93/2.13  ** KEPT (pick-wt=6): 10 [] A!=B|greater_or_e_qual(A,B).
% 4.71/4.95  ** KEPT (pick-wt=15): 11 [] -environment(A)| -in_environment(A,B)| -greater_or_e_qual(B,appear(efficient_producers,A))|greater(cardinality_at_time(efficient_producers,B),zero).
% 4.71/4.95  ** KEPT (pick-wt=10): 12 [] -environment(A)| -stable(A)|greater(sk2(A),appear(efficient_producers,A)).
% 4.71/4.95  ** KEPT (pick-wt=18): 13 [] -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_e_qual(B,sk2(A))|greater(zero,growth_rate(first_movers,B)).
% 4.71/4.95  ** KEPT (pick-wt=8): 14 [] -greater(A,appear(efficient_producers,sk3))| -contracts_from(A,first_movers).
% 4.71/4.95  
% 4.71/4.95  ------------> process sos:
% 4.71/4.95  ** KEPT (pick-wt=3): 15 [] A=A.
% 4.71/4.95  ** KEPT (pick-wt=2): 16 [] environment(sk3).
% 4.71/4.95  ** KEPT (pick-wt=2): 17 [] stable(sk3).
% 4.71/4.95    Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] A=A.
% 4.71/4.95  
% 4.71/4.95  ======= end of input processing =======
% 4.71/4.95  
% 4.71/4.95  =========== start of search ===========
% 4.71/4.95  
% 4.71/4.95  
% 4.71/4.95  Resetting weight limit to 20.
% 4.71/4.95  
% 4.71/4.95  
% 4.71/4.95  Resetting weight limit to 20.
% 4.71/4.95  
% 4.71/4.95  sos_size=2838
% 4.71/4.95  
% 4.71/4.95  
% 4.71/4.95  Resetting weight limit to 19.
% 4.71/4.95  
% 4.71/4.95  
% 4.71/4.95  Resetting weight limit to 19.
% 4.71/4.95  
% 4.71/4.95  sos_size=2761
% 4.71/4.95  
% 4.71/4.95  -------- PROOF -------- 
% 4.71/4.95  
% 4.71/4.95  -----> EMPTY CLAUSE at   2.82 sec ----> 3616 [hyper,3615,14,20] $F.
% 4.71/4.95  
% 4.71/4.95  Length of proof is 33.  Level of proof is 23.
% 4.71/4.95  
% 4.71/4.95  ---------------- PROOF ----------------
% 4.71/4.95  % SZS status Unsatisfiable
% 4.71/4.95  % SZS output start Refutation
% See solution above
% 4.71/4.95  ------------ end of proof -------------
% 4.71/4.95  
% 4.71/4.95  
% 4.71/4.95  Search stopped by max_proofs option.
% 4.71/4.95  
% 4.71/4.95  
% 4.71/4.95  Search stopped by max_proofs option.
% 4.71/4.95  
% 4.71/4.95  ============ end of search ============
% 4.71/4.95  
% 4.71/4.95  -------------- statistics -------------
% 4.71/4.95  clauses given                492
% 4.71/4.95  clauses generated          10004
% 4.71/4.95  clauses kept                3615
% 4.71/4.95  clauses forward subsumed    5529
% 4.71/4.95  clauses back subsumed        609
% 4.71/4.95  Kbytes malloced             4882
% 4.71/4.95  
% 4.71/4.95  ----------- times (seconds) -----------
% 4.71/4.95  user CPU time          2.82          (0 hr, 0 min, 2 sec)
% 4.71/4.95  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 4.71/4.95  wall-clock time        4             (0 hr, 0 min, 4 sec)
% 4.71/4.95  
% 4.71/4.95  That finishes the proof of the theorem.
% 4.71/4.95  
% 4.71/4.95  Process 8709 finished Wed Jul 27 04:22:07 2022
% 4.71/4.95  Otter interrupted
% 4.71/4.95  PROOF FOUND
%------------------------------------------------------------------------------