TSTP Solution File: MGT023-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 13:06:03 EDT 2022
% Result : Unsatisfiable 3.38s 3.58s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of clauses : 62 ( 12 unt; 43 nHn; 62 RR)
% Number of literals : 177 ( 13 equ; 50 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| in_environment(A,sk2(A)) ),
file('MGT023-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_e_qual(sk1(B,A),B)
| in_environment(A,sk2(A)) ),
file('MGT023-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file('MGT023-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file('MGT023-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_e_qual(sk1(B,A),B)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file('MGT023-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_e_qual(sk1(B,A),B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file('MGT023-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| in_environment(A,sk2(A)) ),
file('MGT023-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file('MGT023-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file('MGT023-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk3(B,A))
| B = critical_point(A) ),
file('MGT023-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk3(B,A),B)
| B = critical_point(A) ),
file('MGT023-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))
| B = critical_point(A) ),
file('MGT023-2.p',unknown),
[] ).
cnf(13,axiom,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk4(A)) ),
file('MGT023-2.p',unknown),
[] ).
cnf(14,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_e_qual(B,sk4(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file('MGT023-2.p',unknown),
[] ).
cnf(15,axiom,
~ in_environment(sk5,critical_point(sk5)),
file('MGT023-2.p',unknown),
[] ).
cnf(17,axiom,
environment(sk5),
file('MGT023-2.p',unknown),
[] ).
cnf(18,axiom,
stable(sk5),
file('MGT023-2.p',unknown),
[] ).
cnf(22,plain,
in_environment(sk5,sk4(sk5)),
inference(hyper,[status(thm)],[18,13,17]),
[iquote('hyper,18,13,17')] ).
cnf(28,plain,
( greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(hyper,[status(thm)],[22,2,17]),
[iquote('hyper,22,2,17')] ).
cnf(29,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(hyper,[status(thm)],[22,1,17]),
[iquote('hyper,22,1,17')] ).
cnf(39,plain,
( greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(hyper,[status(thm)],[28,11,17]),
[iquote('hyper,28,11,17')] ).
cnf(40,plain,
( greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(hyper,[status(thm)],[28,10,17]),
[iquote('hyper,28,10,17')] ).
cnf(140,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(hyper,[status(thm)],[29,11,17]),
[iquote('hyper,29,11,17')] ).
cnf(141,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(hyper,[status(thm)],[29,10,17]),
[iquote('hyper,29,10,17')] ).
cnf(1305,plain,
( greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[39,28]),15])]),
[iquote('para_from,39.4.1,28.2.2,unit_del,15,factor_simp')] ).
cnf(1426,plain,
( greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[40,28]),15])]),
[iquote('para_from,40.4.1,28.2.2,unit_del,15,factor_simp')] ).
cnf(2097,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[140,3,17,22])]),
[iquote('hyper,140,3,17,22,factor_simp')] ).
cnf(2152,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2097,29]),15])]),
[iquote('para_from,2097.3.1,29.2.2,unit_del,15,factor_simp')] ).
cnf(2643,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[141,3,17,22])]),
[iquote('hyper,141,3,17,22,factor_simp')] ).
cnf(2648,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2643,29]),15])]),
[iquote('para_from,2643.3.1,29.2.2,unit_del,15,factor_simp')] ).
cnf(2649,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2648,14,17,18,1426])]),
[iquote('hyper,2648,14,17,18,1426,factor_simp')] ).
cnf(2653,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2648,4,17,22,2152])])]),
[iquote('hyper,2648,4,17,22,2152,factor_simp,factor_simp')] ).
cnf(2664,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2653,12,17,29])]),
[iquote('hyper,2653,12,17,29,factor_simp')] ).
cnf(2668,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| sk2(sk5) = critical_point(sk5) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2664,3,17,22])]),
[iquote('hyper,2664,3,17,22,factor_simp')] ).
cnf(2692,plain,
subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2668,29]),15])]),
[iquote('para_from,2668.2.1,29.2.2,unit_del,15,factor_simp')] ).
cnf(2693,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(hyper,[status(thm)],[2692,14,17,18,1305]),
[iquote('hyper,2692,14,17,18,1305')] ).
cnf(2711,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(hyper,[status(thm)],[2693,7,17,22]),
[iquote('hyper,2693,7,17,22')] ).
cnf(2719,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| in_environment(sk5,critical_point(A))
| ~ environment(A)
| ~ in_environment(A,sk2(sk5))
| greater(sk3(sk2(sk5),A),sk2(sk5)) ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[2711,11])]),
[iquote('para_into,2711.3.2,11.5.1,factor_simp')] ).
cnf(2721,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ in_environment(sk5,sk2(sk5)) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[2719]),15,17]),
[iquote('factor,2719.2.6,unit_del,15,17')] ).
cnf(2722,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2721,2711])])]),
[iquote('hyper,2721,2711,factor_simp,factor_simp')] ).
cnf(2724,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(hyper,[status(thm)],[2722,5,17,22]),
[iquote('hyper,2722,5,17,22')] ).
cnf(2738,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(hyper,[status(thm)],[2724,14,17,18,2692]),
[iquote('hyper,2724,14,17,18,2692')] ).
cnf(2751,plain,
greater(sk3(sk2(sk5),sk5),sk2(sk5)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2738,8,17,22,2722])]),
[iquote('hyper,2738,8,17,22,2722,factor_simp')] ).
cnf(2761,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(hyper,[status(thm)],[2649,7,17,22]),
[iquote('hyper,2649,7,17,22')] ).
cnf(2768,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| in_environment(sk5,critical_point(A))
| ~ environment(A)
| ~ in_environment(A,sk2(sk5))
| subpopulations(first_movers,efficient_producers,A,sk3(sk2(sk5),A)) ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[2761,10])]),
[iquote('para_into,2761.3.2,10.5.1,factor_simp')] ).
cnf(2769,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,sk2(sk5)) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[2768]),15,17]),
[iquote('factor,2768.1.6,unit_del,15,17')] ).
cnf(2770,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2769,2761])])]),
[iquote('hyper,2769,2761,factor_simp,factor_simp')] ).
cnf(2772,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(hyper,[status(thm)],[2770,5,17,22]),
[iquote('hyper,2770,5,17,22')] ).
cnf(2784,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(hyper,[status(thm)],[2772,14,17,18,2692]),
[iquote('hyper,2772,14,17,18,2692')] ).
cnf(2801,plain,
subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2784,8,17,22,2770])]),
[iquote('hyper,2784,8,17,22,2770,factor_simp')] ).
cnf(2803,plain,
( greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(hyper,[status(thm)],[2801,6,17,22,2751]),
[iquote('hyper,2801,6,17,22,2751')] ).
cnf(2819,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(hyper,[status(thm)],[2803,14,17,18,2692]),
[iquote('hyper,2803,14,17,18,2692')] ).
cnf(2821,plain,
greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2819,9,17,22,2801,2751])]),
[iquote('hyper,2819,9,17,22,2801,2751,factor_simp')] ).
cnf(2822,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5)
| greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(hyper,[status(thm)],[2821,12,17,28]),
[iquote('hyper,2821,12,17,28')] ).
cnf(2845,plain,
( greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2822,28]),15])]),
[iquote('para_from,2822.2.1,28.2.2,unit_del,15,factor_simp')] ).
cnf(2846,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(hyper,[status(thm)],[2845,14,17,18,2692]),
[iquote('hyper,2845,14,17,18,2692')] ).
cnf(2856,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(hyper,[status(thm)],[2846,7,17,22]),
[iquote('hyper,2846,7,17,22')] ).
cnf(2857,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sk2(sk5) = critical_point(sk5) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2856,12,17,2821])]),
[iquote('hyper,2856,12,17,2821,factor_simp')] ).
cnf(2888,plain,
greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2857,2856]),15])]),
[iquote('para_from,2857.2.1,2856.2.2,unit_del,15,factor_simp')] ).
cnf(2890,plain,
greater_or_e_qual(sk1(sk4(sk5),sk5),sk4(sk5)),
inference(hyper,[status(thm)],[2888,5,17,22]),
[iquote('hyper,2888,5,17,22')] ).
cnf(2903,plain,
greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))),
inference(hyper,[status(thm)],[2890,14,17,18,2692]),
[iquote('hyper,2890,14,17,18,2692')] ).
cnf(2919,plain,
$false,
inference(hyper,[status(thm)],[2903,8,17,22,2888]),
[iquote('hyper,2903,8,17,22,2888')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 04:04:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.66/1.85 ----- Otter 3.3f, August 2004 -----
% 1.66/1.85 The process was started by sandbox2 on n008.cluster.edu,
% 1.66/1.85 Wed Jul 27 04:04:38 2022
% 1.66/1.85 The command was "./otter". The process ID is 20993.
% 1.66/1.85
% 1.66/1.85 set(prolog_style_variables).
% 1.66/1.85 set(auto).
% 1.66/1.85 dependent: set(auto1).
% 1.66/1.85 dependent: set(process_input).
% 1.66/1.85 dependent: clear(print_kept).
% 1.66/1.85 dependent: clear(print_new_demod).
% 1.66/1.85 dependent: clear(print_back_demod).
% 1.66/1.85 dependent: clear(print_back_sub).
% 1.66/1.85 dependent: set(control_memory).
% 1.66/1.85 dependent: assign(max_mem, 12000).
% 1.66/1.85 dependent: assign(pick_given_ratio, 4).
% 1.66/1.85 dependent: assign(stats_level, 1).
% 1.66/1.85 dependent: assign(max_seconds, 10800).
% 1.66/1.85 clear(print_given).
% 1.66/1.85
% 1.66/1.85 list(usable).
% 1.66/1.85 0 [] A=A.
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|in_environment(A,sk2(A)).
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)|greater_or_e_qual(sk1(B,A),B)|in_environment(A,sk2(A)).
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)|greater_or_e_qual(sk1(B,A),B)| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)|greater_or_e_qual(sk1(B,A),B)| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|in_environment(A,sk2(A)).
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 1.66/1.85 0 [] -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 1.66/1.85 0 [] -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk3(B,A))|B=critical_point(A).
% 1.66/1.85 0 [] -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)|greater(sk3(B,A),B)|B=critical_point(A).
% 1.66/1.85 0 [] -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))|B=critical_point(A).
% 1.66/1.85 0 [] -environment(A)| -stable(A)|in_environment(A,sk4(A)).
% 1.66/1.85 0 [] -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_e_qual(B,sk4(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)).
% 1.66/1.85 0 [] environment(sk5).
% 1.66/1.85 0 [] stable(sk5).
% 1.66/1.85 0 [] -in_environment(sk5,critical_point(sk5)).
% 1.66/1.85 end_of_list.
% 1.66/1.85
% 1.66/1.85 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.66/1.85
% 1.66/1.85 This ia a non-Horn set with equality. The strategy will be
% 1.66/1.85 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.66/1.85 deletion, with positive clauses in sos and nonpositive
% 1.66/1.85 clauses in usable.
% 1.66/1.85
% 1.66/1.85 dependent: set(knuth_bendix).
% 1.66/1.85 dependent: set(anl_eq).
% 1.66/1.85 dependent: set(para_from).
% 1.66/1.85 dependent: set(para_into).
% 1.66/1.85 dependent: clear(para_from_right).
% 1.66/1.85 dependent: clear(para_into_right).
% 1.66/1.85 dependent: set(para_from_vars).
% 1.66/1.85 dependent: set(eq_units_both_ways).
% 1.66/1.85 dependent: set(dynamic_demod_all).
% 1.66/1.85 dependent: set(dynamic_demod).
% 1.66/1.85 dependent: set(order_eq).
% 1.66/1.85 dependent: set(back_demod).
% 1.66/1.85 dependent: set(lrpo).
% 1.66/1.85 dependent: set(hyper_res).
% 1.66/1.85 dependent: set(unit_deletion).
% 1.66/1.85 dependent: set(factor).
% 1.66/1.85
% 1.66/1.85 ------------> process usable:
% 1.66/1.85 ** KEPT (pick-wt=16): 1 [] -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|in_environment(A,sk2(A)).
% 3.38/3.58 ** KEPT (pick-wt=14): 2 [] -environment(A)| -in_environment(A,B)|greater_or_e_qual(sk1(B,A),B)|in_environment(A,sk2(A)).
% 3.38/3.58 ** KEPT (pick-wt=21): 3 [] -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 3.38/3.58 ** KEPT (pick-wt=28): 4 [] -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 3.38/3.58 ** KEPT (pick-wt=19): 5 [] -environment(A)| -in_environment(A,B)|greater_or_e_qual(sk1(B,A),B)| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 3.38/3.58 ** KEPT (pick-wt=26): 6 [] -environment(A)| -in_environment(A,B)|greater_or_e_qual(sk1(B,A),B)| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 3.38/3.58 ** KEPT (pick-wt=20): 7 [] -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|in_environment(A,sk2(A)).
% 3.38/3.58 ** KEPT (pick-wt=25): 8 [] -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| -greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))).
% 3.38/3.58 ** KEPT (pick-wt=32): 9 [] -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 3.38/3.58 ** KEPT (pick-wt=23): 10 [] -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk3(B,A))|B=critical_point(A).
% 3.38/3.58 ** KEPT (pick-wt=21): 11 [] -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)|greater(sk3(B,A),B)|B=critical_point(A).
% 3.38/3.58 ** KEPT (pick-wt=27): 12 [] -environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| -in_environment(A,B)| -greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))|B=critical_point(A).
% 3.38/3.58 ** KEPT (pick-wt=8): 13 [] -environment(A)| -stable(A)|in_environment(A,sk4(A)).
% 3.38/3.58 ** KEPT (pick-wt=20): 14 [] -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_e_qual(B,sk4(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)).
% 3.38/3.58 ** KEPT (pick-wt=4): 15 [] -in_environment(sk5,critical_point(sk5)).
% 3.38/3.58
% 3.38/3.58 ------------> process sos:
% 3.38/3.58 ** KEPT (pick-wt=3): 16 [] A=A.
% 3.38/3.58 ** KEPT (pick-wt=2): 17 [] environment(sk5).
% 3.38/3.58 ** KEPT (pick-wt=2): 18 [] stable(sk5).
% 3.38/3.58 Following clause subsumed by 16 during input processing: 0 [copy,16,flip.1] A=A.
% 3.38/3.58
% 3.38/3.58 ======= end of input processing =======
% 3.38/3.58
% 3.38/3.58 =========== start of search ===========
% 3.38/3.58
% 3.38/3.58
% 3.38/3.58 Resetting weight limit to 35.
% 3.38/3.58
% 3.38/3.58
% 3.38/3.58 Resetting weight limit to 35.
% 3.38/3.58
% 3.38/3.58 sos_size=2282
% 3.38/3.58
% 3.38/3.58 -------- PROOF --------
% 3.38/3.58
% 3.38/3.58 -----> EMPTY CLAUSE at 1.74 sec ----> 2919 [hyper,2903,8,17,22,2888] $F.
% 3.38/3.58
% 3.38/3.58 Length of proof is 44. Level of proof is 28.
% 3.38/3.58
% 3.38/3.58 ---------------- PROOF ----------------
% 3.38/3.58 % SZS status Unsatisfiable
% 3.38/3.58 % SZS output start Refutation
% See solution above
% 3.38/3.58 ------------ end of proof -------------
% 3.38/3.58
% 3.38/3.58
% 3.38/3.58 Search stopped by max_proofs option.
% 3.38/3.58
% 3.38/3.58
% 3.38/3.58 Search stopped by max_proofs option.
% 3.38/3.58
% 3.38/3.58 ============ end of search ============
% 3.38/3.58
% 3.38/3.58 -------------- statistics -------------
% 3.38/3.58 clauses given 133
% 3.38/3.58 clauses generated 8443
% 3.38/3.58 clauses kept 2918
% 3.38/3.58 clauses forward subsumed 1182
% 3.38/3.58 clauses back subsumed 928
% 3.38/3.58 Kbytes malloced 4882
% 3.38/3.58
% 3.38/3.58 ----------- times (seconds) -----------
% 3.38/3.58 user CPU time 1.74 (0 hr, 0 min, 1 sec)
% 3.38/3.58 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.38/3.58 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.38/3.58
% 3.38/3.58 That finishes the proof of the theorem.
% 3.38/3.58
% 3.38/3.58 Process 20993 finished Wed Jul 27 04:04:41 2022
% 3.38/3.58 Otter interrupted
% 3.38/3.58 PROOF FOUND
%------------------------------------------------------------------------------