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
%------------------------------------------------------------------------------