TSTP Solution File: MGT055+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n026.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 13:06:13 EDT 2022

% Result   : Theorem 18.58s 18.76s
% Output   : Refutation 18.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   31
% Syntax   : Number of clauses     :   82 (  32 unt;  31 nHn;  58 RR)
%            Number of literals    :  166 (  16 equ;  54 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   75 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ smaller_or_e_qual(A,B)
    | smaller(A,B)
    | A = B ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(2,axiom,
    ( smaller_or_e_qual(A,B)
    | ~ smaller(A,B) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ smaller(A,B)
    | greater(B,A) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( smaller(A,B)
    | ~ greater(B,A) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ greater(A,B)
    | ~ greater(B,A) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ greater(A,B)
    | ~ greater(B,C)
    | greater(A,C) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ has_endowment(A)
    | ~ smaller_or_e_qual(age(A,B),eta)
    | has_immunity(A,B) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ has_endowment(A)
    | ~ greater(age(A,B),eta)
    | ~ has_immunity(A,B) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ organization(A)
    | ~ has_immunity(A,B)
    | ~ has_immunity(A,C)
    | hazard_of_mortality(A,B) = hazard_of_mortality(A,C) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(18,axiom,
    ( ~ organization(A)
    | ~ has_immunity(A,B)
    | has_immunity(A,C)
    | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ dissimilar(A,B,C)
    | is_aligned(A,B)
    | is_aligned(A,C) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ dissimilar(A,B,C)
    | ~ is_aligned(A,B)
    | ~ is_aligned(A,C) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(22,axiom,
    ( dissimilar(A,B,C)
    | ~ organization(A)
    | ~ is_aligned(A,B)
    | is_aligned(A,C) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(23,axiom,
    ( dissimilar(A,B,C)
    | ~ organization(A)
    | is_aligned(A,B)
    | ~ is_aligned(A,C) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ organization(A)
    | age(A,B) != zero
    | is_aligned(A,B) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ organization(A)
    | ~ is_aligned(A,B)
    | is_aligned(A,C)
    | greater(capability(A,B),capability(A,C)) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(26,axiom,
    ( ~ organization(A)
    | age(A,B) != zero
    | ~ greater(age(A,C),sigma)
    | dissimilar(A,B,C) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(27,axiom,
    ( ~ organization(A)
    | age(A,B) != zero
    | greater(age(A,C),sigma)
    | ~ dissimilar(A,B,C) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ organization(A)
    | has_immunity(A,B)
    | has_immunity(A,C)
    | ~ greater(capability(A,C),capability(A,B))
    | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ greater(hazard_of_mortality(dollar_c5,dollar_c1),hazard_of_mortality(dollar_c5,dollar_c2))
    | ~ greater(hazard_of_mortality(dollar_c5,dollar_c2),hazard_of_mortality(dollar_c5,dollar_c3))
    | hazard_of_mortality(dollar_c5,dollar_c3) != hazard_of_mortality(dollar_c5,dollar_c4) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(30,plain,
    ( ~ greater(hazard_of_mortality(dollar_c5,dollar_c1),hazard_of_mortality(dollar_c5,dollar_c2))
    | ~ greater(hazard_of_mortality(dollar_c5,dollar_c2),hazard_of_mortality(dollar_c5,dollar_c3))
    | hazard_of_mortality(dollar_c5,dollar_c4) != hazard_of_mortality(dollar_c5,dollar_c3) ),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[29])]),
    [iquote('copy,29,flip.3')] ).

cnf(31,plain,
    ~ greater(A,A),
    inference(factor,[status(thm)],[9]),
    [iquote('factor,9.1.2')] ).

cnf(35,axiom,
    A = A,
    file('MGT055+1.p',unknown),
    [] ).

cnf(36,axiom,
    ( smaller(A,B)
    | A = B
    | greater(A,B) ),
    file('MGT055+1.p',unknown),
    [] ).

cnf(37,axiom,
    organization(dollar_c5),
    file('MGT055+1.p',unknown),
    [] ).

cnf(38,axiom,
    has_endowment(dollar_c5),
    file('MGT055+1.p',unknown),
    [] ).

cnf(39,axiom,
    age(dollar_c5,dollar_c4) = zero,
    file('MGT055+1.p',unknown),
    [] ).

cnf(41,axiom,
    smaller_or_e_qual(age(dollar_c5,dollar_c3),eta),
    file('MGT055+1.p',unknown),
    [] ).

cnf(42,axiom,
    greater(age(dollar_c5,dollar_c2),eta),
    file('MGT055+1.p',unknown),
    [] ).

cnf(43,axiom,
    smaller_or_e_qual(age(dollar_c5,dollar_c2),sigma),
    file('MGT055+1.p',unknown),
    [] ).

cnf(44,axiom,
    greater(age(dollar_c5,dollar_c1),sigma),
    file('MGT055+1.p',unknown),
    [] ).

cnf(45,axiom,
    greater(sigma,eta),
    file('MGT055+1.p',unknown),
    [] ).

cnf(46,axiom,
    greater(eta,zero),
    file('MGT055+1.p',unknown),
    [] ).

cnf(60,plain,
    smaller(zero,eta),
    inference(hyper,[status(thm)],[46,8]),
    [iquote('hyper,46,8')] ).

cnf(66,plain,
    ( A = B
    | greater(A,B)
    | greater(B,A) ),
    inference(hyper,[status(thm)],[36,7]),
    [iquote('hyper,36,7')] ).

cnf(138,plain,
    is_aligned(dollar_c5,dollar_c4),
    inference(hyper,[status(thm)],[39,24,37]),
    [iquote('hyper,39,24,37')] ).

cnf(150,plain,
    ( greater(age(dollar_c5,A),sigma)
    | ~ dissimilar(dollar_c5,dollar_c4,A) ),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[39,27]),37,35]),
    [iquote('para_from,39.1.1,27.2.1,unit_del,37,35')] ).

cnf(153,plain,
    ( ~ smaller_or_e_qual(zero,eta)
    | has_immunity(dollar_c5,dollar_c4) ),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[39,12]),38]),
    [iquote('para_from,39.1.1,12.2.1,unit_del,38')] ).

cnf(162,plain,
    smaller_or_e_qual(zero,eta),
    inference(hyper,[status(thm)],[60,2]),
    [iquote('hyper,60,2')] ).

cnf(181,plain,
    has_immunity(dollar_c5,dollar_c3),
    inference(hyper,[status(thm)],[41,12,38]),
    [iquote('hyper,41,12,38')] ).

cnf(196,plain,
    ( dissimilar(dollar_c5,A,dollar_c4)
    | is_aligned(dollar_c5,A) ),
    inference(hyper,[status(thm)],[138,23,37]),
    [iquote('hyper,138,23,37')] ).

cnf(197,plain,
    ( dissimilar(dollar_c5,dollar_c4,A)
    | is_aligned(dollar_c5,A) ),
    inference(hyper,[status(thm)],[138,22,37]),
    [iquote('hyper,138,22,37')] ).

cnf(238,plain,
    ( has_immunity(dollar_c5,A)
    | greater(hazard_of_mortality(dollar_c5,A),hazard_of_mortality(dollar_c5,dollar_c3)) ),
    inference(hyper,[status(thm)],[181,18,37]),
    [iquote('hyper,181,18,37')] ).

cnf(251,plain,
    ( smaller(age(dollar_c5,dollar_c2),sigma)
    | age(dollar_c5,dollar_c2) = sigma ),
    inference(hyper,[status(thm)],[43,1]),
    [iquote('hyper,43,1')] ).

cnf(264,plain,
    dissimilar(dollar_c5,dollar_c4,dollar_c1),
    inference(hyper,[status(thm)],[44,26,37,39]),
    [iquote('hyper,44,26,37,39')] ).

cnf(573,plain,
    has_immunity(dollar_c5,dollar_c4),
    inference(hyper,[status(thm)],[153,162]),
    [iquote('hyper,153,162')] ).

cnf(576,plain,
    hazard_of_mortality(dollar_c5,dollar_c4) = hazard_of_mortality(dollar_c5,dollar_c3),
    inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[573,17,37,181])]),
    [iquote('hyper,573,17,37,181,flip.1')] ).

cnf(590,plain,
    ( ~ greater(hazard_of_mortality(dollar_c5,dollar_c1),hazard_of_mortality(dollar_c5,dollar_c2))
    | ~ greater(hazard_of_mortality(dollar_c5,dollar_c2),hazard_of_mortality(dollar_c5,dollar_c3)) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[30]),576]),35]),
    [iquote('back_demod,30,demod,576,unit_del,35')] ).

cnf(629,plain,
    ( dissimilar(dollar_c5,A,dollar_c4)
    | dissimilar(dollar_c5,B,A)
    | is_aligned(dollar_c5,B) ),
    inference(hyper,[status(thm)],[196,23,37]),
    [iquote('hyper,196,23,37')] ).

cnf(670,plain,
    ( hazard_of_mortality(dollar_c5,A) = hazard_of_mortality(dollar_c5,dollar_c3)
    | ~ has_immunity(dollar_c5,A) ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[576,17]),37,573]),
    [iquote('para_into,575.1.1,17.4.1,unit_del,37,573')] ).

cnf(764,plain,
    ( eta = A
    | greater(A,eta)
    | greater(sigma,A) ),
    inference(hyper,[status(thm)],[66,10,45]),
    [iquote('hyper,66,10,45')] ).

cnf(864,plain,
    ( is_aligned(A,dollar_c4)
    | greater(dollar_c5,A)
    | greater(A,dollar_c5) ),
    inference(para_from,[status(thm),theory(equality)],[66,138]),
    [iquote('para_from,66.1.1,138.1.1')] ).

cnf(900,plain,
    ( has_endowment(A)
    | greater(dollar_c5,A)
    | greater(A,dollar_c5) ),
    inference(para_from,[status(thm),theory(equality)],[66,38]),
    [iquote('para_from,66.1.1,38.1.1')] ).

cnf(901,plain,
    ( organization(A)
    | greater(dollar_c5,A)
    | greater(A,dollar_c5) ),
    inference(para_from,[status(thm),theory(equality)],[66,37]),
    [iquote('para_from,66.1.1,37.1.1')] ).

cnf(4147,plain,
    ( greater(sigma,A)
    | greater(A,eta) ),
    inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[764,45])]),
    [iquote('para_from,764.1.1,45.1.2,factor_simp')] ).

cnf(4148,plain,
    ( greater(A,eta)
    | greater(age(dollar_c5,dollar_c1),A) ),
    inference(hyper,[status(thm)],[4147,10,44]),
    [iquote('hyper,4147,10,44')] ).

cnf(4152,plain,
    greater(sigma,age(dollar_c5,dollar_c3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4147,13,900,181]),31,31]),
    [iquote('hyper,4147,13,900,181,unit_del,31,31')] ).

cnf(4398,plain,
    greater(hazard_of_mortality(dollar_c5,dollar_c1),hazard_of_mortality(dollar_c5,dollar_c3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[238,13,900,4148]),31,31,31]),
    [iquote('hyper,238,13,900,4148,unit_del,31,31,31')] ).

cnf(4399,plain,
    greater(hazard_of_mortality(dollar_c5,dollar_c2),hazard_of_mortality(dollar_c5,dollar_c3)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[238,13,900,42]),31,31]),
    [iquote('hyper,238,13,900,42,unit_del,31,31')] ).

cnf(4415,plain,
    ( age(dollar_c5,dollar_c2) = sigma
    | greater(sigma,age(dollar_c5,dollar_c2)) ),
    inference(hyper,[status(thm)],[251,7]),
    [iquote('hyper,251,7')] ).

cnf(4621,plain,
    ~ has_immunity(dollar_c5,dollar_c2),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[670,4399]),31]),
    [iquote('para_from,670.1.1,4399.1.1,unit_del,31')] ).

cnf(4623,plain,
    ~ has_immunity(dollar_c5,dollar_c1),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[670,4398]),31]),
    [iquote('para_from,670.1.1,4398.1.1,unit_del,31')] ).

cnf(4710,plain,
    ( ~ dissimilar(dollar_c5,dollar_c4,dollar_c2)
    | greater(sigma,age(dollar_c5,dollar_c2)) ),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[4415,150]),31]),
    [iquote('para_from,4415.1.1,150.1.1,unit_del,31')] ).

cnf(4733,plain,
    ( dissimilar(dollar_c5,A,dollar_c4)
    | dissimilar(dollar_c5,dollar_c1,A) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[629,21,264,864]),31,31]),
    [iquote('hyper,629,21,264,864,unit_del,31,31')] ).

cnf(4734,plain,
    ( dissimilar(dollar_c5,dollar_c1,A)
    | dissimilar(dollar_c5,dollar_c4,A) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4733,21,197,864]),31,31]),
    [iquote('hyper,4733,21,197,864,unit_del,31,31')] ).

cnf(4736,plain,
    ( dissimilar(dollar_c5,dollar_c1,dollar_c2)
    | greater(sigma,age(dollar_c5,dollar_c2)) ),
    inference(hyper,[status(thm)],[4734,4710]),
    [iquote('hyper,4734,4710')] ).

cnf(4738,plain,
    ( dissimilar(dollar_c5,dollar_c1,A)
    | greater(age(dollar_c5,A),sigma) ),
    inference(hyper,[status(thm)],[4734,150]),
    [iquote('hyper,4734,150')] ).

cnf(4739,plain,
    dissimilar(dollar_c5,dollar_c1,dollar_c2),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4738,10,4736]),31])]),
    [iquote('hyper,4738,10,4736,unit_del,31,factor_simp')] ).

cnf(4740,plain,
    dissimilar(dollar_c5,dollar_c1,dollar_c3),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4738,10,4152]),31]),
    [iquote('hyper,4738,10,4152,unit_del,31')] ).

cnf(4745,plain,
    ( is_aligned(dollar_c5,dollar_c1)
    | is_aligned(dollar_c5,dollar_c2) ),
    inference(hyper,[status(thm)],[4739,20]),
    [iquote('hyper,4739,20')] ).

cnf(4779,plain,
    ( is_aligned(dollar_c5,dollar_c1)
    | is_aligned(dollar_c5,dollar_c3) ),
    inference(hyper,[status(thm)],[4740,20]),
    [iquote('hyper,4740,20')] ).

cnf(4816,plain,
    is_aligned(dollar_c5,dollar_c2),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4745,21,264,864]),31,31]),
    [iquote('hyper,4745,21,264,864,unit_del,31,31')] ).

cnf(4820,plain,
    ( is_aligned(dollar_c5,A)
    | greater(capability(dollar_c5,dollar_c2),capability(dollar_c5,A)) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4816,25,901]),31,31]),
    [iquote('hyper,4816,25,901,unit_del,31,31')] ).

cnf(4824,plain,
    ( dissimilar(dollar_c5,dollar_c2,A)
    | is_aligned(dollar_c5,A) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4816,22,901]),31,31]),
    [iquote('hyper,4816,22,901,unit_del,31,31')] ).

cnf(4850,plain,
    is_aligned(dollar_c5,dollar_c3),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4779,21,264,864]),31,31]),
    [iquote('hyper,4779,21,264,864,unit_del,31,31')] ).

cnf(4858,plain,
    ( dissimilar(dollar_c5,dollar_c3,A)
    | is_aligned(dollar_c5,A) ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4850,22,901]),31,31]),
    [iquote('hyper,4850,22,901,unit_del,31,31')] ).

cnf(4877,plain,
    ( is_aligned(dollar_c5,A)
    | greater(dollar_c3,A)
    | greater(A,dollar_c3) ),
    inference(para_into,[status(thm),theory(equality)],[4850,66]),
    [iquote('para_into,4850.1.2,66.1.1')] ).

cnf(4887,plain,
    dissimilar(dollar_c5,dollar_c2,dollar_c1),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4824,21,264,864]),31,31]),
    [iquote('hyper,4824,21,264,864,unit_del,31,31')] ).

cnf(4925,plain,
    dissimilar(dollar_c5,dollar_c3,dollar_c1),
    inference(hyper,[status(thm)],[4858,21,4887,4816]),
    [iquote('hyper,4858,21,4887,4816')] ).

cnf(5019,plain,
    ~ greater(hazard_of_mortality(dollar_c5,dollar_c1),hazard_of_mortality(dollar_c5,dollar_c2)),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[590,670]),4399,181]),
    [iquote('para_into,590.2.2,670.1.1,unit_del,4399,181')] ).

cnf(5020,plain,
    greater(capability(dollar_c5,dollar_c2),capability(dollar_c5,dollar_c1)),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4820,21,4925,4877]),31,31]),
    [iquote('hyper,4820,21,4925,4877,unit_del,31,31')] ).

cnf(5022,plain,
    $false,
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5020,28,901]),4623,4621,5019,31,31]),
    [iquote('hyper,5020,28,901,unit_del,4623,4621,5019,31,31')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13  % Command  : otter-tptp-script %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Jul 27 04:14:24 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 2.03/2.20  ----- Otter 3.3f, August 2004 -----
% 2.03/2.20  The process was started by sandbox on n026.cluster.edu,
% 2.03/2.20  Wed Jul 27 04:14:24 2022
% 2.03/2.20  The command was "./otter".  The process ID is 30754.
% 2.03/2.20  
% 2.03/2.20  set(prolog_style_variables).
% 2.03/2.20  set(auto).
% 2.03/2.20     dependent: set(auto1).
% 2.03/2.20     dependent: set(process_input).
% 2.03/2.20     dependent: clear(print_kept).
% 2.03/2.20     dependent: clear(print_new_demod).
% 2.03/2.20     dependent: clear(print_back_demod).
% 2.03/2.20     dependent: clear(print_back_sub).
% 2.03/2.20     dependent: set(control_memory).
% 2.03/2.20     dependent: assign(max_mem, 12000).
% 2.03/2.20     dependent: assign(pick_given_ratio, 4).
% 2.03/2.20     dependent: assign(stats_level, 1).
% 2.03/2.20     dependent: assign(max_seconds, 10800).
% 2.03/2.20  clear(print_given).
% 2.03/2.20  
% 2.03/2.20  formula_list(usable).
% 2.03/2.20  all A (A=A).
% 2.03/2.20  all X Y (smaller_or_e_qual(X,Y)<->smaller(X,Y)|X=Y).
% 2.03/2.20  all X Y (greater_or_e_qual(X,Y)<->greater(X,Y)|X=Y).
% 2.03/2.20  all X Y (smaller(X,Y)<->greater(Y,X)).
% 2.03/2.20  all X Y (-(greater(X,Y)&greater(Y,X))).
% 2.03/2.20  all X Y Z (greater(X,Y)&greater(Y,Z)->greater(X,Z)).
% 2.03/2.20  all X Y (smaller(X,Y)|X=Y|greater(X,Y)).
% 2.03/2.20  all X (has_endowment(X)<-> (all T (organization(X)& (smaller_or_e_qual(age(X,T),eta)->has_immunity(X,T))& (greater(age(X,T),eta)-> -has_immunity(X,T))))).
% 2.03/2.20  all X T0 T (organization(X)&has_immunity(X,T0)&has_immunity(X,T)->hazard_of_mortality(X,T0)=hazard_of_mortality(X,T)).
% 2.03/2.20  all X T0 T (organization(X)&has_immunity(X,T0)& -has_immunity(X,T)->greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))).
% 2.03/2.20  all X T0 T (dissimilar(X,T0,T)<->organization(X)& -(is_aligned(X,T0)<->is_aligned(X,T))).
% 2.03/2.20  all X T (organization(X)&age(X,T)=zero->is_aligned(X,T)).
% 2.03/2.20  all X T0 T (organization(X)&is_aligned(X,T0)& -is_aligned(X,T)->greater(capability(X,T0),capability(X,T))).
% 2.03/2.20  all X T0 T (organization(X)&age(X,T0)=zero-> (greater(age(X,T),sigma)<->dissimilar(X,T0,T))).
% 2.03/2.20  all X T0 T (organization(X)& -has_immunity(X,T0)& -has_immunity(X,T)&greater(capability(X,T),capability(X,T0))->greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T))).
% 2.03/2.20  -(all X T0 T1 T2 T3 (organization(X)&has_endowment(X)&age(X,T0)=zero&smaller_or_e_qual(age(X,T1),eta)&greater(age(X,T2),eta)&smaller_or_e_qual(age(X,T2),sigma)&greater(age(X,T3),sigma)&greater(sigma,eta)&greater(eta,zero)->greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2))&greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))&hazard_of_mortality(X,T1)=hazard_of_mortality(X,T0))).
% 2.03/2.20  end_of_list.
% 2.03/2.20  
% 2.03/2.20  -------> usable clausifies to:
% 2.03/2.20  
% 2.03/2.20  list(usable).
% 2.03/2.20  0 [] A=A.
% 2.03/2.20  0 [] -smaller_or_e_qual(X,Y)|smaller(X,Y)|X=Y.
% 2.03/2.20  0 [] smaller_or_e_qual(X,Y)| -smaller(X,Y).
% 2.03/2.20  0 [] smaller_or_e_qual(X,Y)|X!=Y.
% 2.03/2.20  0 [] -greater_or_e_qual(X,Y)|greater(X,Y)|X=Y.
% 2.03/2.20  0 [] greater_or_e_qual(X,Y)| -greater(X,Y).
% 2.03/2.20  0 [] greater_or_e_qual(X,Y)|X!=Y.
% 2.03/2.20  0 [] -smaller(X,Y)|greater(Y,X).
% 2.03/2.20  0 [] smaller(X,Y)| -greater(Y,X).
% 2.03/2.20  0 [] -greater(X,Y)| -greater(Y,X).
% 2.03/2.20  0 [] -greater(X,Y)| -greater(Y,Z)|greater(X,Z).
% 2.03/2.20  0 [] smaller(X,Y)|X=Y|greater(X,Y).
% 2.03/2.20  0 [] -has_endowment(X)|organization(X).
% 2.03/2.20  0 [] -has_endowment(X)| -smaller_or_e_qual(age(X,T),eta)|has_immunity(X,T).
% 2.03/2.20  0 [] -has_endowment(X)| -greater(age(X,T),eta)| -has_immunity(X,T).
% 2.03/2.20  0 [] has_endowment(X)| -organization(X)|smaller_or_e_qual(age(X,$f1(X)),eta)|greater(age(X,$f1(X)),eta).
% 2.03/2.20  0 [] has_endowment(X)| -organization(X)|smaller_or_e_qual(age(X,$f1(X)),eta)|has_immunity(X,$f1(X)).
% 2.03/2.20  0 [] has_endowment(X)| -organization(X)| -has_immunity(X,$f1(X))|greater(age(X,$f1(X)),eta).
% 2.03/2.20  0 [] -organization(X)| -has_immunity(X,T0)| -has_immunity(X,T)|hazard_of_mortality(X,T0)=hazard_of_mortality(X,T).
% 2.03/2.20  0 [] -organization(X)| -has_immunity(X,T0)|has_immunity(X,T)|greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)).
% 2.03/2.20  0 [] -dissimilar(X,T0,T)|organization(X).
% 2.03/2.20  0 [] -dissimilar(X,T0,T)|is_aligned(X,T0)|is_aligned(X,T).
% 2.03/2.20  0 [] -dissimilar(X,T0,T)| -is_aligned(X,T0)| -is_aligned(X,T).
% 2.03/2.20  0 [] dissimilar(X,T0,T)| -organization(X)| -is_aligned(X,T0)|is_aligned(X,T).
% 2.03/2.20  0 [] dissimilar(X,T0,T)| -organization(X)|is_aligned(X,T0)| -is_aligned(X,T).
% 2.03/2.20  0 [] -organization(X)|age(X,T)!=zero|is_aligned(X,T).
% 2.03/2.20  0 [] -organization(X)| -is_aligned(X,T0)|is_aligned(X,T)|greater(capability(X,T0),capability(X,T)).
% 2.03/2.20  0 [] -organization(X)|age(X,T0)!=zero| -greater(age(X,T),sigma)|dissimilar(X,T0,T).
% 2.03/2.20  0 [] -organization(X)|age(X,T0)!=zero|greater(age(X,T),sigma)| -dissimilar(X,T0,T).
% 2.03/2.20  0 [] -organization(X)|has_immunity(X,T0)|has_immunity(X,T)| -greater(capability(X,T),capability(X,T0))|greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)).
% 2.03/2.20  0 [] organization($c5).
% 2.03/2.20  0 [] has_endowment($c5).
% 2.03/2.20  0 [] age($c5,$c4)=zero.
% 2.03/2.20  0 [] smaller_or_e_qual(age($c5,$c3),eta).
% 2.03/2.20  0 [] greater(age($c5,$c2),eta).
% 2.03/2.20  0 [] smaller_or_e_qual(age($c5,$c2),sigma).
% 2.03/2.20  0 [] greater(age($c5,$c1),sigma).
% 2.03/2.20  0 [] greater(sigma,eta).
% 2.03/2.20  0 [] greater(eta,zero).
% 2.03/2.20  0 [] -greater(hazard_of_mortality($c5,$c1),hazard_of_mortality($c5,$c2))| -greater(hazard_of_mortality($c5,$c2),hazard_of_mortality($c5,$c3))|hazard_of_mortality($c5,$c3)!=hazard_of_mortality($c5,$c4).
% 2.03/2.20  end_of_list.
% 2.03/2.20  
% 2.03/2.20  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.03/2.20  
% 2.03/2.20  This ia a non-Horn set with equality.  The strategy will be
% 2.03/2.20  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.03/2.20  deletion, with positive clauses in sos and nonpositive
% 2.03/2.20  clauses in usable.
% 2.03/2.20  
% 2.03/2.20     dependent: set(knuth_bendix).
% 2.03/2.20     dependent: set(anl_eq).
% 2.03/2.20     dependent: set(para_from).
% 2.03/2.20     dependent: set(para_into).
% 2.03/2.20     dependent: clear(para_from_right).
% 2.03/2.20     dependent: clear(para_into_right).
% 2.03/2.20     dependent: set(para_from_vars).
% 2.03/2.20     dependent: set(eq_units_both_ways).
% 2.03/2.20     dependent: set(dynamic_demod_all).
% 2.03/2.20     dependent: set(dynamic_demod).
% 2.03/2.20     dependent: set(order_eq).
% 2.03/2.20     dependent: set(back_demod).
% 2.03/2.20     dependent: set(lrpo).
% 2.03/2.20     dependent: set(hyper_res).
% 2.03/2.20     dependent: set(unit_deletion).
% 2.03/2.20     dependent: set(factor).
% 2.03/2.20  
% 2.03/2.20  ------------> process usable:
% 2.03/2.20  ** KEPT (pick-wt=9): 1 [] -smaller_or_e_qual(A,B)|smaller(A,B)|A=B.
% 2.03/2.20  ** KEPT (pick-wt=6): 2 [] smaller_or_e_qual(A,B)| -smaller(A,B).
% 2.03/2.20  ** KEPT (pick-wt=6): 3 [] smaller_or_e_qual(A,B)|A!=B.
% 2.03/2.20  ** KEPT (pick-wt=9): 4 [] -greater_or_e_qual(A,B)|greater(A,B)|A=B.
% 2.03/2.20  ** KEPT (pick-wt=6): 5 [] greater_or_e_qual(A,B)| -greater(A,B).
% 2.03/2.20  ** KEPT (pick-wt=6): 6 [] greater_or_e_qual(A,B)|A!=B.
% 2.03/2.20  ** KEPT (pick-wt=6): 7 [] -smaller(A,B)|greater(B,A).
% 2.03/2.20  ** KEPT (pick-wt=6): 8 [] smaller(A,B)| -greater(B,A).
% 2.03/2.20  ** KEPT (pick-wt=6): 9 [] -greater(A,B)| -greater(B,A).
% 2.03/2.20  ** KEPT (pick-wt=9): 10 [] -greater(A,B)| -greater(B,C)|greater(A,C).
% 2.03/2.20  ** KEPT (pick-wt=4): 11 [] -has_endowment(A)|organization(A).
% 2.03/2.20  ** KEPT (pick-wt=10): 12 [] -has_endowment(A)| -smaller_or_e_qual(age(A,B),eta)|has_immunity(A,B).
% 2.03/2.20  ** KEPT (pick-wt=10): 13 [] -has_endowment(A)| -greater(age(A,B),eta)| -has_immunity(A,B).
% 2.03/2.20  ** KEPT (pick-wt=16): 14 [] has_endowment(A)| -organization(A)|smaller_or_e_qual(age(A,$f1(A)),eta)|greater(age(A,$f1(A)),eta).
% 2.03/2.20  ** KEPT (pick-wt=14): 15 [] has_endowment(A)| -organization(A)|smaller_or_e_qual(age(A,$f1(A)),eta)|has_immunity(A,$f1(A)).
% 2.03/2.20  ** KEPT (pick-wt=14): 16 [] has_endowment(A)| -organization(A)| -has_immunity(A,$f1(A))|greater(age(A,$f1(A)),eta).
% 2.03/2.20  ** KEPT (pick-wt=15): 17 [] -organization(A)| -has_immunity(A,B)| -has_immunity(A,C)|hazard_of_mortality(A,B)=hazard_of_mortality(A,C).
% 2.03/2.20  ** KEPT (pick-wt=15): 18 [] -organization(A)| -has_immunity(A,B)|has_immunity(A,C)|greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)).
% 2.03/2.20  ** KEPT (pick-wt=6): 19 [] -dissimilar(A,B,C)|organization(A).
% 2.03/2.20  ** KEPT (pick-wt=10): 20 [] -dissimilar(A,B,C)|is_aligned(A,B)|is_aligned(A,C).
% 2.03/2.20  ** KEPT (pick-wt=10): 21 [] -dissimilar(A,B,C)| -is_aligned(A,B)| -is_aligned(A,C).
% 2.03/2.20  ** KEPT (pick-wt=12): 22 [] dissimilar(A,B,C)| -organization(A)| -is_aligned(A,B)|is_aligned(A,C).
% 2.03/2.20  ** KEPT (pick-wt=12): 23 [] dissimilar(A,B,C)| -organization(A)|is_aligned(A,B)| -is_aligned(A,C).
% 2.03/2.20  ** KEPT (pick-wt=10): 24 [] -organization(A)|age(A,B)!=zero|is_aligned(A,B).
% 2.03/2.20  ** KEPT (pick-wt=15): 25 [] -organization(A)| -is_aligned(A,B)|is_aligned(A,C)|greater(capability(A,B),capability(A,C)).
% 2.03/2.20  ** KEPT (pick-wt=16): 26 [] -organization(A)|age(A,B)!=zero| -greater(age(A,C),sigma)|dissimilar(A,B,C).
% 2.03/2.20  ** KEPT (pick-wt=16): 27 [] -organization(A)|age(A,B)!=zero|greater(age(A,C),sigma)| -dissimilar(A,B,C).
% 2.03/2.20  ** KEPT (pick-wt=22): 28 [] -organization(A)|has_immunity(A,B)|has_immunity(A,C)| -greater(capability(A,C),capability(A,B))|greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)).
% 2.03/2.20  ** KEPT (pick-wt=21): 30 [copy,29,flip.3] -greater(hazard_of_mortality($c5,$c1),hazard_of_mortality($c5,$c2))| -greater(hazard_of_mortality($c5,$c2),hazard_of_mortality($c5,$c3))|hazard_of_mortality($c5,$c4)!=hazard_of_mortality($c5,$c3).
% 18.58/18.76  
% 18.58/18.76  ------------> process sos:
% 18.58/18.76  ** KEPT (pick-wt=3): 35 [] A=A.
% 18.58/18.76  ** KEPT (pick-wt=9): 36 [] smaller(A,B)|A=B|greater(A,B).
% 18.58/18.76  ** KEPT (pick-wt=2): 37 [] organization($c5).
% 18.58/18.76  ** KEPT (pick-wt=2): 38 [] has_endowment($c5).
% 18.58/18.76  ** KEPT (pick-wt=5): 39 [] age($c5,$c4)=zero.
% 18.58/18.76  ---> New Demodulator: 40 [new_demod,39] age($c5,$c4)=zero.
% 18.58/18.76  ** KEPT (pick-wt=5): 41 [] smaller_or_e_qual(age($c5,$c3),eta).
% 18.58/18.76  ** KEPT (pick-wt=5): 42 [] greater(age($c5,$c2),eta).
% 18.58/18.76  ** KEPT (pick-wt=5): 43 [] smaller_or_e_qual(age($c5,$c2),sigma).
% 18.58/18.76  ** KEPT (pick-wt=5): 44 [] greater(age($c5,$c1),sigma).
% 18.58/18.76  ** KEPT (pick-wt=3): 45 [] greater(sigma,eta).
% 18.58/18.76  ** KEPT (pick-wt=3): 46 [] greater(eta,zero).
% 18.58/18.76    Following clause subsumed by 35 during input processing: 0 [copy,35,flip.1] A=A.
% 18.58/18.76  35 back subsumes 32.
% 18.58/18.76  >>>> Starting back demodulation with 40.
% 18.58/18.76  
% 18.58/18.76  ======= end of input processing =======
% 18.58/18.76  
% 18.58/18.76  =========== start of search ===========
% 18.58/18.76  
% 18.58/18.76  
% 18.58/18.76  Resetting weight limit to 10.
% 18.58/18.76  
% 18.58/18.76  
% 18.58/18.76  Resetting weight limit to 10.
% 18.58/18.76  
% 18.58/18.76  sos_size=3801
% 18.58/18.76  
% 18.58/18.76  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 18.58/18.76  
% 18.58/18.76  -----> EMPTY CLAUSE at  16.56 sec ----> 5022 [hyper,5020,28,901,unit_del,4623,4621,5019,31,31] $F.
% 18.58/18.76  
% 18.58/18.76  Length of proof is 50.  Level of proof is 13.
% 18.58/18.76  
% 18.58/18.76  ---------------- PROOF ----------------
% 18.58/18.76  % SZS status Theorem
% 18.58/18.76  % SZS output start Refutation
% See solution above
% 18.58/18.76  ------------ end of proof -------------
% 18.58/18.76  
% 18.58/18.76  
% 18.58/18.76  Search stopped by max_proofs option.
% 18.58/18.76  
% 18.58/18.76  
% 18.58/18.76  Search stopped by max_proofs option.
% 18.58/18.76  
% 18.58/18.76  ============ end of search ============
% 18.58/18.76  
% 18.58/18.76  -------------- statistics -------------
% 18.58/18.76  clauses given               1414
% 18.58/18.76  clauses generated         269986
% 18.58/18.76  clauses kept                5018
% 18.58/18.76  clauses forward subsumed   18748
% 18.58/18.76  clauses back subsumed        592
% 18.58/18.76  Kbytes malloced             4882
% 18.58/18.76  
% 18.58/18.76  ----------- times (seconds) -----------
% 18.58/18.76  user CPU time         16.56          (0 hr, 0 min, 16 sec)
% 18.58/18.76  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 18.58/18.76  wall-clock time       18             (0 hr, 0 min, 18 sec)
% 18.58/18.76  
% 18.58/18.76  That finishes the proof of the theorem.
% 18.58/18.76  
% 18.58/18.76  Process 30754 finished Wed Jul 27 04:14:42 2022
% 18.58/18.76  Otter interrupted
% 18.58/18.76  PROOF FOUND
%------------------------------------------------------------------------------