TSTP Solution File: MGT061+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 13:06:15 EDT 2022
% Result : Theorem 28.65s 28.85s
% Output : Refutation 28.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of clauses : 81 ( 32 unt; 30 nHn; 61 RR)
% Number of literals : 171 ( 23 equ; 56 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 67 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( smaller_or_e_qual(A,B)
| ~ smaller(A,B) ),
file('MGT061+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ smaller(A,B)
| greater(B,A) ),
file('MGT061+1.p',unknown),
[] ).
cnf(8,axiom,
( smaller(A,B)
| ~ greater(B,A) ),
file('MGT061+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ greater(A,B)
| ~ greater(B,A) ),
file('MGT061+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ),
file('MGT061+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ organization(A)
| has_endowment(A)
| ~ has_immunity(A,B) ),
file('MGT061+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ dissimilar(A,B,C)
| is_aligned(A,B)
| is_aligned(A,C) ),
file('MGT061+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ dissimilar(A,B,C)
| ~ is_aligned(A,B)
| ~ is_aligned(A,C) ),
file('MGT061+1.p',unknown),
[] ).
cnf(15,axiom,
( dissimilar(A,B,C)
| ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C) ),
file('MGT061+1.p',unknown),
[] ).
cnf(16,axiom,
( dissimilar(A,B,C)
| ~ organization(A)
| is_aligned(A,B)
| ~ is_aligned(A,C) ),
file('MGT061+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ organization(A)
| age(A,B) != zero
| is_aligned(A,B) ),
file('MGT061+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ organization(A)
| age(A,B) != zero
| ~ greater(age(A,C),sigma)
| dissimilar(A,B,C) ),
file('MGT061+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ organization(A)
| age(A,B) != zero
| greater(age(A,C),sigma)
| ~ dissimilar(A,B,C) ),
file('MGT061+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ fragile_position(A)
| ~ smaller_or_e_qual(age(A,B),sigma)
| positional_advantage(A,B) ),
file('MGT061+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ fragile_position(A)
| ~ greater(age(A,B),sigma)
| ~ positional_advantage(A,B) ),
file('MGT061+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ organization(A)
| ~ has_immunity(A,B)
| hazard_of_mortality(A,B) = very_low ),
file('MGT061+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ organization(A)
| has_immunity(A,B)
| ~ is_aligned(A,B)
| ~ positional_advantage(A,B)
| hazard_of_mortality(A,B) = low ),
file('MGT061+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ organization(A)
| has_immunity(A,B)
| is_aligned(A,B)
| positional_advantage(A,B)
| hazard_of_mortality(A,B) = high ),
file('MGT061+1.p',unknown),
[] ).
cnf(28,axiom,
~ has_endowment(dollar_c4),
file('MGT061+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ greater(hazard_of_mortality(dollar_c4,dollar_c1),hazard_of_mortality(dollar_c4,dollar_c2))
| hazard_of_mortality(dollar_c4,dollar_c2) != hazard_of_mortality(dollar_c4,dollar_c3) ),
file('MGT061+1.p',unknown),
[] ).
cnf(30,plain,
( ~ greater(hazard_of_mortality(dollar_c4,dollar_c1),hazard_of_mortality(dollar_c4,dollar_c2))
| hazard_of_mortality(dollar_c4,dollar_c3) != hazard_of_mortality(dollar_c4,dollar_c2) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[29])]),
[iquote('copy,29,flip.2')] ).
cnf(31,plain,
~ greater(A,A),
inference(factor,[status(thm)],[9]),
[iquote('factor,9.1.2')] ).
cnf(34,axiom,
A = A,
file('MGT061+1.p',unknown),
[] ).
cnf(35,axiom,
( smaller(A,B)
| A = B
| greater(A,B) ),
file('MGT061+1.p',unknown),
[] ).
cnf(38,axiom,
greater(high,mod1),
file('MGT061+1.p',unknown),
[] ).
cnf(39,axiom,
greater(mod1,low),
file('MGT061+1.p',unknown),
[] ).
cnf(40,axiom,
greater(low,very_low),
file('MGT061+1.p',unknown),
[] ).
cnf(43,axiom,
organization(dollar_c4),
file('MGT061+1.p',unknown),
[] ).
cnf(44,axiom,
fragile_position(dollar_c4),
file('MGT061+1.p',unknown),
[] ).
cnf(45,axiom,
age(dollar_c4,dollar_c3) = zero,
file('MGT061+1.p',unknown),
[] ).
cnf(47,axiom,
greater(sigma,zero),
file('MGT061+1.p',unknown),
[] ).
cnf(48,axiom,
smaller_or_e_qual(age(dollar_c4,dollar_c2),sigma),
file('MGT061+1.p',unknown),
[] ).
cnf(49,axiom,
greater(age(dollar_c4,dollar_c1),sigma),
file('MGT061+1.p',unknown),
[] ).
cnf(52,plain,
( has_immunity(dollar_c4,A)
| is_aligned(dollar_c4,A)
| positional_advantage(dollar_c4,A)
| hazard_of_mortality(dollar_c4,A) = high ),
inference(hyper,[status(thm)],[43,27]),
[iquote('hyper,43,27')] ).
cnf(63,plain,
greater(high,low),
inference(hyper,[status(thm)],[39,10,38]),
[iquote('hyper,39,10,38')] ).
cnf(70,plain,
( A = B
| greater(A,B)
| greater(B,A) ),
inference(hyper,[status(thm)],[35,7]),
[iquote('hyper,35,7')] ).
cnf(135,plain,
smaller(zero,sigma),
inference(hyper,[status(thm)],[47,8]),
[iquote('hyper,47,8')] ).
cnf(186,plain,
greater(high,very_low),
inference(hyper,[status(thm)],[63,10,40]),
[iquote('hyper,63,10,40')] ).
cnf(216,plain,
is_aligned(dollar_c4,dollar_c3),
inference(hyper,[status(thm)],[45,17,43]),
[iquote('hyper,45,17,43')] ).
cnf(228,plain,
( ~ greater(zero,sigma)
| ~ positional_advantage(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[45,21]),44]),
[iquote('para_from,45.1.1,21.2.1,unit_del,44')] ).
cnf(229,plain,
( ~ smaller_or_e_qual(zero,sigma)
| positional_advantage(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[45,20]),44]),
[iquote('para_from,45.1.1,20.2.1,unit_del,44')] ).
cnf(230,plain,
( greater(age(dollar_c4,A),sigma)
| ~ dissimilar(dollar_c4,dollar_c3,A) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[45,19]),43,34]),
[iquote('para_from,45.1.1,19.2.1,unit_del,43,34')] ).
cnf(258,plain,
positional_advantage(dollar_c4,dollar_c2),
inference(hyper,[status(thm)],[48,20,44]),
[iquote('hyper,48,20,44')] ).
cnf(293,plain,
smaller_or_e_qual(zero,sigma),
inference(hyper,[status(thm)],[135,2]),
[iquote('hyper,135,2')] ).
cnf(300,plain,
dissimilar(dollar_c4,dollar_c3,dollar_c1),
inference(hyper,[status(thm)],[49,18,43,45]),
[iquote('hyper,49,18,43,45')] ).
cnf(344,plain,
( has_immunity(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c1)
| hazard_of_mortality(dollar_c4,dollar_c1) = high ),
inference(hyper,[status(thm)],[52,21,44,49]),
[iquote('hyper,52,21,44,49')] ).
cnf(360,plain,
( ~ greater(high,hazard_of_mortality(dollar_c4,dollar_c2))
| hazard_of_mortality(dollar_c4,dollar_c3) != hazard_of_mortality(dollar_c4,dollar_c2)
| has_immunity(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c1)
| positional_advantage(dollar_c4,dollar_c1) ),
inference(para_from,[status(thm),theory(equality)],[52,30]),
[iquote('para_from,52.4.1,30.1.1')] ).
cnf(393,plain,
( dissimilar(dollar_c4,A,dollar_c3)
| is_aligned(dollar_c4,A) ),
inference(hyper,[status(thm)],[216,16,43]),
[iquote('hyper,216,16,43')] ).
cnf(394,plain,
( dissimilar(dollar_c4,dollar_c3,A)
| is_aligned(dollar_c4,A) ),
inference(hyper,[status(thm)],[216,15,43]),
[iquote('hyper,216,15,43')] ).
cnf(629,plain,
positional_advantage(dollar_c4,dollar_c3),
inference(hyper,[status(thm)],[229,293]),
[iquote('hyper,229,293')] ).
cnf(637,plain,
( has_immunity(dollar_c4,dollar_c3)
| hazard_of_mortality(dollar_c4,dollar_c3) = low ),
inference(hyper,[status(thm)],[629,24,43,216]),
[iquote('hyper,629,24,43,216')] ).
cnf(670,plain,
( dissimilar(dollar_c4,A,dollar_c3)
| dissimilar(dollar_c4,B,A)
| is_aligned(dollar_c4,B) ),
inference(hyper,[status(thm)],[393,16,43]),
[iquote('hyper,393,16,43')] ).
cnf(671,plain,
( dissimilar(dollar_c4,A,dollar_c3)
| dissimilar(dollar_c4,A,B)
| is_aligned(dollar_c4,B) ),
inference(hyper,[status(thm)],[393,15,43]),
[iquote('hyper,393,15,43')] ).
cnf(673,plain,
dissimilar(dollar_c4,dollar_c1,dollar_c3),
inference(hyper,[status(thm)],[393,14,300,216]),
[iquote('hyper,393,14,300,216')] ).
cnf(772,plain,
hazard_of_mortality(dollar_c4,dollar_c3) = low,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[637,11,43]),28]),
[iquote('hyper,637,11,43,unit_del,28')] ).
cnf(773,plain,
( ~ greater(high,hazard_of_mortality(dollar_c4,dollar_c2))
| hazard_of_mortality(dollar_c4,dollar_c2) != low
| has_immunity(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c1)
| positional_advantage(dollar_c4,dollar_c1) ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[360]),772])]),
[iquote('back_demod,360,demod,772,flip.2')] ).
cnf(1028,plain,
( ~ greater(zero,sigma)
| ~ positional_advantage(dollar_c4,A)
| greater(dollar_c3,A)
| greater(A,dollar_c3) ),
inference(para_from,[status(thm),theory(equality)],[70,228]),
[iquote('para_from,70.1.1,228.2.2')] ).
cnf(1054,plain,
( positional_advantage(A,dollar_c2)
| greater(dollar_c4,A)
| greater(A,dollar_c4) ),
inference(para_from,[status(thm),theory(equality)],[70,258]),
[iquote('para_from,70.1.1,258.1.1')] ).
cnf(1056,plain,
( is_aligned(A,dollar_c3)
| greater(dollar_c4,A)
| greater(A,dollar_c4) ),
inference(para_from,[status(thm),theory(equality)],[70,216]),
[iquote('para_from,70.1.1,216.1.1')] ).
cnf(1085,plain,
( fragile_position(A)
| greater(dollar_c4,A)
| greater(A,dollar_c4) ),
inference(para_from,[status(thm),theory(equality)],[70,44]),
[iquote('para_from,70.1.1,44.1.1')] ).
cnf(1086,plain,
( organization(A)
| greater(dollar_c4,A)
| greater(A,dollar_c4) ),
inference(para_from,[status(thm),theory(equality)],[70,43]),
[iquote('para_from,70.1.1,43.1.1')] ).
cnf(1137,plain,
~ greater(zero,sigma),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[1028]),629,31]),
[iquote('factor,1028.3.4,unit_del,629,31')] ).
cnf(3848,plain,
~ dissimilar(dollar_c4,dollar_c3,dollar_c3),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[230,45]),1137]),
[iquote('para_into,230.1.1,45.1.1,unit_del,1137')] ).
cnf(4023,plain,
( has_immunity(dollar_c4,dollar_c1)
| hazard_of_mortality(dollar_c4,dollar_c1) = high ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[344,14,300,394]),3848]),
[iquote('hyper,344,14,300,394,unit_del,3848')] ).
cnf(4024,plain,
hazard_of_mortality(dollar_c4,dollar_c1) = high,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4023,11,1086]),28,31,31]),
[iquote('hyper,4023,11,1086,unit_del,28,31,31')] ).
cnf(4028,plain,
( very_low = high
| ~ has_immunity(dollar_c4,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[4024,23]),43]),
[iquote('para_into,4024.1.1,23.3.1,unit_del,43')] ).
cnf(4071,plain,
~ has_immunity(dollar_c4,dollar_c1),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[4028,186]),31]),
[iquote('para_from,4028.1.1,186.1.2,unit_del,31')] ).
cnf(5028,plain,
( dissimilar(dollar_c4,A,dollar_c3)
| dissimilar(dollar_c4,dollar_c1,A) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[670,14,300,1056]),31,31]),
[iquote('hyper,670,14,300,1056,unit_del,31,31')] ).
cnf(5029,plain,
( dissimilar(dollar_c4,dollar_c1,A)
| dissimilar(dollar_c4,dollar_c3,A) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5028,14,394,1056]),31,31]),
[iquote('hyper,5028,14,394,1056,unit_del,31,31')] ).
cnf(5031,plain,
( dissimilar(dollar_c4,dollar_c1,A)
| greater(age(dollar_c4,A),sigma) ),
inference(hyper,[status(thm)],[5029,230]),
[iquote('hyper,5029,230')] ).
cnf(5032,plain,
( dissimilar(dollar_c4,A,dollar_c3)
| dissimilar(dollar_c4,A,dollar_c1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[671,14,673,671])])]),
[iquote('hyper,671,14,673,671,factor_simp,factor_simp')] ).
cnf(5033,plain,
( dissimilar(dollar_c4,A,dollar_c1)
| dissimilar(dollar_c4,dollar_c3,A) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5032,14,394,1056]),31,31]),
[iquote('hyper,5032,14,394,1056,unit_del,31,31')] ).
cnf(5301,plain,
dissimilar(dollar_c4,dollar_c1,dollar_c2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5031,21,1085,1054]),31,31,31,31]),
[iquote('hyper,5031,21,1085,1054,unit_del,31,31,31,31')] ).
cnf(5304,plain,
( is_aligned(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c2) ),
inference(hyper,[status(thm)],[5301,13]),
[iquote('hyper,5301,13')] ).
cnf(5307,plain,
is_aligned(dollar_c4,dollar_c2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5304,14,5033,1056]),3848,31,31]),
[iquote('hyper,5304,14,5033,1056,unit_del,3848,31,31')] ).
cnf(5309,plain,
( has_immunity(dollar_c4,dollar_c2)
| hazard_of_mortality(dollar_c4,dollar_c2) = low ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5307,24,1086,1054]),31,31,31,31]),
[iquote('hyper,5307,24,1086,1054,unit_del,31,31,31,31')] ).
cnf(5312,plain,
dissimilar(dollar_c4,dollar_c2,dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5307,14,5033,1056]),31,31]),
[iquote('hyper,5307,14,5033,1056,unit_del,31,31')] ).
cnf(5349,plain,
hazard_of_mortality(dollar_c4,dollar_c2) = low,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5309,11,1086]),28,31,31]),
[iquote('hyper,5309,11,1086,unit_del,28,31,31')] ).
cnf(5350,plain,
( is_aligned(dollar_c4,dollar_c1)
| positional_advantage(dollar_c4,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[773]),5349,5349]),63,34,4071]),
[iquote('back_demod,773,demod,5349,5349,unit_del,63,34,4071')] ).
cnf(5358,plain,
is_aligned(dollar_c4,dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5350,21,1085,49]),31,31]),
[iquote('hyper,5350,21,1085,49,unit_del,31,31')] ).
cnf(5364,plain,
$false,
inference(hyper,[status(thm)],[5358,14,5312,5307]),
[iquote('hyper,5358,14,5312,5307')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 04:00:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.78/1.96 ----- Otter 3.3f, August 2004 -----
% 1.78/1.96 The process was started by sandbox2 on n009.cluster.edu,
% 1.78/1.96 Wed Jul 27 04:00:21 2022
% 1.78/1.96 The command was "./otter". The process ID is 31565.
% 1.78/1.96
% 1.78/1.96 set(prolog_style_variables).
% 1.78/1.96 set(auto).
% 1.78/1.96 dependent: set(auto1).
% 1.78/1.96 dependent: set(process_input).
% 1.78/1.96 dependent: clear(print_kept).
% 1.78/1.96 dependent: clear(print_new_demod).
% 1.78/1.96 dependent: clear(print_back_demod).
% 1.78/1.96 dependent: clear(print_back_sub).
% 1.78/1.96 dependent: set(control_memory).
% 1.78/1.96 dependent: assign(max_mem, 12000).
% 1.78/1.96 dependent: assign(pick_given_ratio, 4).
% 1.78/1.96 dependent: assign(stats_level, 1).
% 1.78/1.96 dependent: assign(max_seconds, 10800).
% 1.78/1.96 clear(print_given).
% 1.78/1.96
% 1.78/1.96 formula_list(usable).
% 1.78/1.96 all A (A=A).
% 1.78/1.96 all X Y (smaller_or_e_qual(X,Y)<->smaller(X,Y)|X=Y).
% 1.78/1.96 all X Y (greater_or_e_qual(X,Y)<->greater(X,Y)|X=Y).
% 1.78/1.96 all X Y (smaller(X,Y)<->greater(Y,X)).
% 1.78/1.96 all X Y (-(greater(X,Y)&greater(Y,X))).
% 1.78/1.96 all X Y Z (greater(X,Y)&greater(Y,Z)->greater(X,Z)).
% 1.78/1.96 all X Y (smaller(X,Y)|X=Y|greater(X,Y)).
% 1.78/1.96 all X T (organization(X)& -has_endowment(X)-> -has_immunity(X,T)).
% 1.78/1.96 all X T0 T (dissimilar(X,T0,T)<->organization(X)& -(is_aligned(X,T0)<->is_aligned(X,T))).
% 1.78/1.96 all X T (organization(X)&age(X,T)=zero->is_aligned(X,T)).
% 1.78/1.96 all X T0 T (organization(X)&age(X,T0)=zero-> (greater(age(X,T),sigma)<->dissimilar(X,T0,T))).
% 1.78/1.96 all X (fragile_position(X)<-> (all T ((smaller_or_e_qual(age(X,T),sigma)->positional_advantage(X,T))& (greater(age(X,T),sigma)-> -positional_advantage(X,T))))).
% 1.78/1.96 all X T (organization(X)-> (has_immunity(X,T)->hazard_of_mortality(X,T)=very_low)& (-has_immunity(X,T)-> (is_aligned(X,T)&positional_advantage(X,T)->hazard_of_mortality(X,T)=low)& (-is_aligned(X,T)&positional_advantage(X,T)->hazard_of_mortality(X,T)=mod1)& (is_aligned(X,T)& -positional_advantage(X,T)->hazard_of_mortality(X,T)=mod2)& (-is_aligned(X,T)& -positional_advantage(X,T)->hazard_of_mortality(X,T)=high))).
% 1.78/1.96 greater(high,mod1).
% 1.78/1.96 greater(mod1,low).
% 1.78/1.96 greater(low,very_low).
% 1.78/1.96 greater(high,mod2).
% 1.78/1.96 greater(mod2,low).
% 1.78/1.96 -(all X T0 T1 T2 (organization(X)&fragile_position(X)& -has_endowment(X)&age(X,T0)=zero&greater(sigma,zero)&smaller_or_e_qual(age(X,T1),sigma)&greater(age(X,T2),sigma)->greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))&hazard_of_mortality(X,T1)=hazard_of_mortality(X,T0))).
% 1.78/1.96 end_of_list.
% 1.78/1.96
% 1.78/1.96 -------> usable clausifies to:
% 1.78/1.96
% 1.78/1.96 list(usable).
% 1.78/1.96 0 [] A=A.
% 1.78/1.96 0 [] -smaller_or_e_qual(X,Y)|smaller(X,Y)|X=Y.
% 1.78/1.96 0 [] smaller_or_e_qual(X,Y)| -smaller(X,Y).
% 1.78/1.96 0 [] smaller_or_e_qual(X,Y)|X!=Y.
% 1.78/1.96 0 [] -greater_or_e_qual(X,Y)|greater(X,Y)|X=Y.
% 1.78/1.96 0 [] greater_or_e_qual(X,Y)| -greater(X,Y).
% 1.78/1.96 0 [] greater_or_e_qual(X,Y)|X!=Y.
% 1.78/1.96 0 [] -smaller(X,Y)|greater(Y,X).
% 1.78/1.96 0 [] smaller(X,Y)| -greater(Y,X).
% 1.78/1.96 0 [] -greater(X,Y)| -greater(Y,X).
% 1.78/1.96 0 [] -greater(X,Y)| -greater(Y,Z)|greater(X,Z).
% 1.78/1.96 0 [] smaller(X,Y)|X=Y|greater(X,Y).
% 1.78/1.96 0 [] -organization(X)|has_endowment(X)| -has_immunity(X,T).
% 1.78/1.96 0 [] -dissimilar(X,T0,T)|organization(X).
% 1.78/1.96 0 [] -dissimilar(X,T0,T)|is_aligned(X,T0)|is_aligned(X,T).
% 1.78/1.96 0 [] -dissimilar(X,T0,T)| -is_aligned(X,T0)| -is_aligned(X,T).
% 1.78/1.96 0 [] dissimilar(X,T0,T)| -organization(X)| -is_aligned(X,T0)|is_aligned(X,T).
% 1.78/1.96 0 [] dissimilar(X,T0,T)| -organization(X)|is_aligned(X,T0)| -is_aligned(X,T).
% 1.78/1.96 0 [] -organization(X)|age(X,T)!=zero|is_aligned(X,T).
% 1.78/1.96 0 [] -organization(X)|age(X,T0)!=zero| -greater(age(X,T),sigma)|dissimilar(X,T0,T).
% 1.78/1.96 0 [] -organization(X)|age(X,T0)!=zero|greater(age(X,T),sigma)| -dissimilar(X,T0,T).
% 1.78/1.96 0 [] -fragile_position(X)| -smaller_or_e_qual(age(X,T),sigma)|positional_advantage(X,T).
% 1.78/1.96 0 [] -fragile_position(X)| -greater(age(X,T),sigma)| -positional_advantage(X,T).
% 1.78/1.96 0 [] fragile_position(X)|smaller_or_e_qual(age(X,$f1(X)),sigma)|greater(age(X,$f1(X)),sigma).
% 1.78/1.96 0 [] fragile_position(X)|smaller_or_e_qual(age(X,$f1(X)),sigma)|positional_advantage(X,$f1(X)).
% 1.78/1.96 0 [] fragile_position(X)| -positional_advantage(X,$f1(X))|greater(age(X,$f1(X)),sigma).
% 1.78/1.96 0 [] -organization(X)| -has_immunity(X,T)|hazard_of_mortality(X,T)=very_low.
% 1.78/1.96 0 [] -organization(X)|has_immunity(X,T)| -is_aligned(X,T)| -positional_advantage(X,T)|hazard_of_mortality(X,T)=low.
% 1.78/1.96 0 [] -organization(X)|has_immunity(X,T)|is_aligned(X,T)| -positional_advantage(X,T)|hazard_of_mortality(X,T)=mod1.
% 1.78/1.96 0 [] -organization(X)|has_immunity(X,T)| -is_aligned(X,T)|positional_advantage(X,T)|hazard_of_mortality(X,T)=mod2.
% 1.78/1.96 0 [] -organization(X)|has_immunity(X,T)|is_aligned(X,T)|positional_advantage(X,T)|hazard_of_mortality(X,T)=high.
% 1.78/1.96 0 [] greater(high,mod1).
% 1.78/1.96 0 [] greater(mod1,low).
% 1.78/1.96 0 [] greater(low,very_low).
% 1.78/1.96 0 [] greater(high,mod2).
% 1.78/1.96 0 [] greater(mod2,low).
% 1.78/1.96 0 [] organization($c4).
% 1.78/1.96 0 [] fragile_position($c4).
% 1.78/1.96 0 [] -has_endowment($c4).
% 1.78/1.96 0 [] age($c4,$c3)=zero.
% 1.78/1.96 0 [] greater(sigma,zero).
% 1.78/1.96 0 [] smaller_or_e_qual(age($c4,$c2),sigma).
% 1.78/1.96 0 [] greater(age($c4,$c1),sigma).
% 1.78/1.96 0 [] -greater(hazard_of_mortality($c4,$c1),hazard_of_mortality($c4,$c2))|hazard_of_mortality($c4,$c2)!=hazard_of_mortality($c4,$c3).
% 1.78/1.96 end_of_list.
% 1.78/1.96
% 1.78/1.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.78/1.96
% 1.78/1.96 This ia a non-Horn set with equality. The strategy will be
% 1.78/1.96 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.78/1.96 deletion, with positive clauses in sos and nonpositive
% 1.78/1.96 clauses in usable.
% 1.78/1.96
% 1.78/1.96 dependent: set(knuth_bendix).
% 1.78/1.96 dependent: set(anl_eq).
% 1.78/1.96 dependent: set(para_from).
% 1.78/1.96 dependent: set(para_into).
% 1.78/1.96 dependent: clear(para_from_right).
% 1.78/1.96 dependent: clear(para_into_right).
% 1.78/1.96 dependent: set(para_from_vars).
% 1.78/1.96 dependent: set(eq_units_both_ways).
% 1.78/1.96 dependent: set(dynamic_demod_all).
% 1.78/1.96 dependent: set(dynamic_demod).
% 1.78/1.96 dependent: set(order_eq).
% 1.78/1.96 dependent: set(back_demod).
% 1.78/1.96 dependent: set(lrpo).
% 1.78/1.96 dependent: set(hyper_res).
% 1.78/1.96 dependent: set(unit_deletion).
% 1.78/1.96 dependent: set(factor).
% 1.78/1.96
% 1.78/1.96 ------------> process usable:
% 1.78/1.96 ** KEPT (pick-wt=9): 1 [] -smaller_or_e_qual(A,B)|smaller(A,B)|A=B.
% 1.78/1.96 ** KEPT (pick-wt=6): 2 [] smaller_or_e_qual(A,B)| -smaller(A,B).
% 1.78/1.96 ** KEPT (pick-wt=6): 3 [] smaller_or_e_qual(A,B)|A!=B.
% 1.78/1.96 ** KEPT (pick-wt=9): 4 [] -greater_or_e_qual(A,B)|greater(A,B)|A=B.
% 1.78/1.96 ** KEPT (pick-wt=6): 5 [] greater_or_e_qual(A,B)| -greater(A,B).
% 1.78/1.96 ** KEPT (pick-wt=6): 6 [] greater_or_e_qual(A,B)|A!=B.
% 1.78/1.96 ** KEPT (pick-wt=6): 7 [] -smaller(A,B)|greater(B,A).
% 1.78/1.96 ** KEPT (pick-wt=6): 8 [] smaller(A,B)| -greater(B,A).
% 1.78/1.96 ** KEPT (pick-wt=6): 9 [] -greater(A,B)| -greater(B,A).
% 1.78/1.96 ** KEPT (pick-wt=9): 10 [] -greater(A,B)| -greater(B,C)|greater(A,C).
% 1.78/1.96 ** KEPT (pick-wt=7): 11 [] -organization(A)|has_endowment(A)| -has_immunity(A,B).
% 1.78/1.96 ** KEPT (pick-wt=6): 12 [] -dissimilar(A,B,C)|organization(A).
% 1.78/1.96 ** KEPT (pick-wt=10): 13 [] -dissimilar(A,B,C)|is_aligned(A,B)|is_aligned(A,C).
% 1.78/1.96 ** KEPT (pick-wt=10): 14 [] -dissimilar(A,B,C)| -is_aligned(A,B)| -is_aligned(A,C).
% 1.78/1.96 ** KEPT (pick-wt=12): 15 [] dissimilar(A,B,C)| -organization(A)| -is_aligned(A,B)|is_aligned(A,C).
% 1.78/1.96 ** KEPT (pick-wt=12): 16 [] dissimilar(A,B,C)| -organization(A)|is_aligned(A,B)| -is_aligned(A,C).
% 1.78/1.96 ** KEPT (pick-wt=10): 17 [] -organization(A)|age(A,B)!=zero|is_aligned(A,B).
% 1.78/1.96 ** KEPT (pick-wt=16): 18 [] -organization(A)|age(A,B)!=zero| -greater(age(A,C),sigma)|dissimilar(A,B,C).
% 1.78/1.96 ** KEPT (pick-wt=16): 19 [] -organization(A)|age(A,B)!=zero|greater(age(A,C),sigma)| -dissimilar(A,B,C).
% 1.78/1.96 ** KEPT (pick-wt=10): 20 [] -fragile_position(A)| -smaller_or_e_qual(age(A,B),sigma)|positional_advantage(A,B).
% 1.78/1.96 ** KEPT (pick-wt=10): 21 [] -fragile_position(A)| -greater(age(A,B),sigma)| -positional_advantage(A,B).
% 1.78/1.96 ** KEPT (pick-wt=12): 22 [] fragile_position(A)| -positional_advantage(A,$f1(A))|greater(age(A,$f1(A)),sigma).
% 1.78/1.96 ** KEPT (pick-wt=10): 23 [] -organization(A)| -has_immunity(A,B)|hazard_of_mortality(A,B)=very_low.
% 1.78/1.96 ** KEPT (pick-wt=16): 24 [] -organization(A)|has_immunity(A,B)| -is_aligned(A,B)| -positional_advantage(A,B)|hazard_of_mortality(A,B)=low.
% 1.78/1.96 ** KEPT (pick-wt=16): 25 [] -organization(A)|has_immunity(A,B)|is_aligned(A,B)| -positional_advantage(A,B)|hazard_of_mortality(A,B)=mod1.
% 1.78/1.96 ** KEPT (pick-wt=16): 26 [] -organization(A)|has_immunity(A,B)| -is_aligned(A,B)|positional_advantage(A,B)|hazard_of_mortality(A,B)=mod2.
% 1.78/1.96 ** KEPT (pick-wt=16): 27 [] -organization(A)|has_immunity(A,B)|is_aligned(A,B)|positional_advantage(A,B)|hazard_of_mortality(A,B)=high.
% 1.78/1.96 ** KEPT (pick-wt=2): 28 [] -has_endowment($c4).
% 1.78/1.96 ** KEPT (pick-wt=14): 30 [copy,29,flip.2] -greater(hazard_of_mortality($c4,$c1),hazard_of_mortality($c4,$c2))|hazard_of_mortality($c4,$c3)!=hazard_of_mortality($c4,$c2).
% 28.65/28.85
% 28.65/28.85 ------------> process sos:
% 28.65/28.85 ** KEPT (pick-wt=3): 34 [] A=A.
% 28.65/28.85 ** KEPT (pick-wt=9): 35 [] smaller(A,B)|A=B|greater(A,B).
% 28.65/28.85 ** KEPT (pick-wt=14): 36 [] fragile_position(A)|smaller_or_e_qual(age(A,$f1(A)),sigma)|greater(age(A,$f1(A)),sigma).
% 28.65/28.85 ** KEPT (pick-wt=12): 37 [] fragile_position(A)|smaller_or_e_qual(age(A,$f1(A)),sigma)|positional_advantage(A,$f1(A)).
% 28.65/28.85 ** KEPT (pick-wt=3): 38 [] greater(high,mod1).
% 28.65/28.85 ** KEPT (pick-wt=3): 39 [] greater(mod1,low).
% 28.65/28.85 ** KEPT (pick-wt=3): 40 [] greater(low,very_low).
% 28.65/28.85 ** KEPT (pick-wt=3): 41 [] greater(high,mod2).
% 28.65/28.85 ** KEPT (pick-wt=3): 42 [] greater(mod2,low).
% 28.65/28.85 ** KEPT (pick-wt=2): 43 [] organization($c4).
% 28.65/28.85 ** KEPT (pick-wt=2): 44 [] fragile_position($c4).
% 28.65/28.85 ** KEPT (pick-wt=5): 45 [] age($c4,$c3)=zero.
% 28.65/28.85 ---> New Demodulator: 46 [new_demod,45] age($c4,$c3)=zero.
% 28.65/28.85 ** KEPT (pick-wt=3): 47 [] greater(sigma,zero).
% 28.65/28.85 ** KEPT (pick-wt=5): 48 [] smaller_or_e_qual(age($c4,$c2),sigma).
% 28.65/28.85 ** KEPT (pick-wt=5): 49 [] greater(age($c4,$c1),sigma).
% 28.65/28.85 Following clause subsumed by 34 during input processing: 0 [copy,34,flip.1] A=A.
% 28.65/28.85 >>>> Starting back demodulation with 46.
% 28.65/28.85
% 28.65/28.85 ======= end of input processing =======
% 28.65/28.85
% 28.65/28.85 =========== start of search ===========
% 28.65/28.85
% 28.65/28.85
% 28.65/28.85 Resetting weight limit to 9.
% 28.65/28.85
% 28.65/28.85
% 28.65/28.85 Resetting weight limit to 9.
% 28.65/28.85
% 28.65/28.85 sos_size=3051
% 28.65/28.85
% 28.65/28.85 -- HEY sandbox2, WE HAVE A PROOF!! --
% 28.65/28.85
% 28.65/28.85 -----> EMPTY CLAUSE at 26.89 sec ----> 5364 [hyper,5358,14,5312,5307] $F.
% 28.65/28.85
% 28.65/28.85 Length of proof is 49. Level of proof is 13.
% 28.65/28.85
% 28.65/28.85 ---------------- PROOF ----------------
% 28.65/28.85 % SZS status Theorem
% 28.65/28.85 % SZS output start Refutation
% See solution above
% 28.65/28.85 ------------ end of proof -------------
% 28.65/28.85
% 28.65/28.85
% 28.65/28.85 Search stopped by max_proofs option.
% 28.65/28.85
% 28.65/28.85
% 28.65/28.85 Search stopped by max_proofs option.
% 28.65/28.85
% 28.65/28.85 ============ end of search ============
% 28.65/28.85
% 28.65/28.85 -------------- statistics -------------
% 28.65/28.85 clauses given 1953
% 28.65/28.85 clauses generated 741360
% 28.65/28.85 clauses kept 5358
% 28.65/28.85 clauses forward subsumed 30058
% 28.65/28.85 clauses back subsumed 1153
% 28.65/28.85 Kbytes malloced 4882
% 28.65/28.85
% 28.65/28.85 ----------- times (seconds) -----------
% 28.65/28.85 user CPU time 26.89 (0 hr, 0 min, 26 sec)
% 28.65/28.85 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 28.65/28.85 wall-clock time 28 (0 hr, 0 min, 28 sec)
% 28.65/28.85
% 28.65/28.85 That finishes the proof of the theorem.
% 28.65/28.85
% 28.65/28.85 Process 31565 finished Wed Jul 27 04:00:49 2022
% 28.65/28.85 Otter interrupted
% 28.65/28.85 PROOF FOUND
%------------------------------------------------------------------------------