TSTP Solution File: MGT027+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:06:04 EDT 2022
% Result : Theorem 4.59s 4.83s
% Output : Refutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of clauses : 51 ( 14 unt; 26 nHn; 49 RR)
% Number of literals : 124 ( 5 equ; 38 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| greater(cardinality_at_time(first_movers,dollar_f1(A,B)),zero)
| contracts_from(B,first_movers) ),
file('MGT027+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| greater_or_e_qual(dollar_f1(A,B),B)
| contracts_from(B,first_movers) ),
file('MGT027+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| ~ greater(zero,growth_rate(first_movers,dollar_f1(A,B)))
| contracts_from(B,first_movers) ),
file('MGT027+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ greater(cardinality_at_time(efficient_producers,B),zero)
| subpopulations(first_movers,efficient_producers,A,B) ),
file('MGT027+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| ~ greater(C,B)
| in_environment(A,C) ),
file('MGT027+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,appear(efficient_producers,A)) ),
file('MGT027+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ),
file('MGT027+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ greater_or_e_qual(A,B)
| greater(A,B)
| A = B ),
file('MGT027+1.p',unknown),
[] ).
cnf(9,axiom,
( greater_or_e_qual(A,B)
| ~ greater(A,B) ),
file('MGT027+1.p',unknown),
[] ).
cnf(10,axiom,
( greater_or_e_qual(A,B)
| A != B ),
file('MGT027+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater_or_e_qual(B,appear(efficient_producers,A))
| greater(cardinality_at_time(efficient_producers,B),zero) ),
file('MGT027+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ environment(A)
| ~ stable(A)
| greater(dollar_f2(A),appear(efficient_producers,A)) ),
file('MGT027+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_e_qual(B,dollar_f2(A))
| greater(zero,growth_rate(first_movers,B)) ),
file('MGT027+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ greater(A,appear(efficient_producers,dollar_c1))
| ~ contracts_from(A,first_movers) ),
file('MGT027+1.p',unknown),
[] ).
cnf(15,axiom,
A = A,
file('MGT027+1.p',unknown),
[] ).
cnf(16,axiom,
environment(dollar_c1),
file('MGT027+1.p',unknown),
[] ).
cnf(17,axiom,
stable(dollar_c1),
file('MGT027+1.p',unknown),
[] ).
cnf(18,plain,
greater_or_e_qual(A,A),
inference(hyper,[status(thm)],[15,10]),
[iquote('hyper,15,10')] ).
cnf(20,plain,
greater(dollar_f2(dollar_c1),appear(efficient_producers,dollar_c1)),
inference(hyper,[status(thm)],[17,12,16]),
[iquote('hyper,17,12,16')] ).
cnf(21,plain,
in_environment(dollar_c1,appear(efficient_producers,dollar_c1)),
inference(hyper,[status(thm)],[17,6,16]),
[iquote('hyper,17,6,16')] ).
cnf(32,plain,
greater_or_e_qual(dollar_f2(dollar_c1),appear(efficient_producers,dollar_c1)),
inference(hyper,[status(thm)],[20,9]),
[iquote('hyper,20,9')] ).
cnf(33,plain,
in_environment(dollar_c1,dollar_f2(dollar_c1)),
inference(hyper,[status(thm)],[20,5,16,17,21]),
[iquote('hyper,20,5,16,17,21')] ).
cnf(39,plain,
( greater_or_e_qual(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),dollar_f2(dollar_c1))
| contracts_from(dollar_f2(dollar_c1),first_movers) ),
inference(hyper,[status(thm)],[33,2,16,17]),
[iquote('hyper,33,2,16,17')] ).
cnf(40,plain,
( greater(cardinality_at_time(first_movers,dollar_f1(dollar_c1,dollar_f2(dollar_c1))),zero)
| contracts_from(dollar_f2(dollar_c1),first_movers) ),
inference(hyper,[status(thm)],[33,1,16,17]),
[iquote('hyper,33,1,16,17')] ).
cnf(44,plain,
greater(cardinality_at_time(efficient_producers,dollar_f2(dollar_c1)),zero),
inference(hyper,[status(thm)],[32,11,16,33]),
[iquote('hyper,32,11,16,33')] ).
cnf(126,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| greater(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),dollar_f2(dollar_c1))
| dollar_f1(dollar_c1,dollar_f2(dollar_c1)) = dollar_f2(dollar_c1) ),
inference(hyper,[status(thm)],[39,8]),
[iquote('hyper,39,8')] ).
cnf(1816,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| dollar_f1(dollar_c1,dollar_f2(dollar_c1)) = dollar_f2(dollar_c1)
| in_environment(dollar_c1,dollar_f1(dollar_c1,dollar_f2(dollar_c1))) ),
inference(hyper,[status(thm)],[126,5,16,17,33]),
[iquote('hyper,126,5,16,17,33')] ).
cnf(1834,plain,
( greater(cardinality_at_time(first_movers,dollar_f2(dollar_c1)),zero)
| contracts_from(dollar_f2(dollar_c1),first_movers)
| greater(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),dollar_f2(dollar_c1)) ),
inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[126,40])]),
[iquote('para_from,126.3.1,40.1.1.2,factor_simp')] ).
cnf(1835,plain,
( ~ greater(zero,growth_rate(first_movers,dollar_f2(dollar_c1)))
| contracts_from(dollar_f2(dollar_c1),first_movers)
| greater(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),dollar_f2(dollar_c1)) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[126,3]),16,17,33])]),
[iquote('para_from,126.3.1,3.4.2.2,unit_del,16,17,33,factor_simp')] ).
cnf(2133,plain,
( ~ greater(zero,growth_rate(first_movers,dollar_f2(dollar_c1)))
| contracts_from(dollar_f2(dollar_c1),first_movers)
| in_environment(dollar_c1,dollar_f1(dollar_c1,dollar_f2(dollar_c1))) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[1816,3]),16,17,33])]),
[iquote('para_from,1816.2.1,3.4.2.2,unit_del,16,17,33,factor_simp')] ).
cnf(2197,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| greater(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),dollar_f2(dollar_c1))
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1)) ),
inference(hyper,[status(thm)],[1834,4,16,33,44]),
[iquote('hyper,1834,4,16,33,44')] ).
cnf(2418,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1))
| greater(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),appear(efficient_producers,dollar_c1)) ),
inference(hyper,[status(thm)],[2197,7,20]),
[iquote('hyper,2197,7,20')] ).
cnf(2419,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1))
| in_environment(dollar_c1,dollar_f1(dollar_c1,dollar_f2(dollar_c1))) ),
inference(hyper,[status(thm)],[2197,5,16,17,33]),
[iquote('hyper,2197,5,16,17,33')] ).
cnf(3375,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1))
| greater_or_e_qual(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),appear(efficient_producers,dollar_c1)) ),
inference(hyper,[status(thm)],[2418,9]),
[iquote('hyper,2418,9')] ).
cnf(3377,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1))
| greater(cardinality_at_time(efficient_producers,dollar_f1(dollar_c1,dollar_f2(dollar_c1))),zero) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3375,11,16,2419])])]),
[iquote('hyper,3375,11,16,2419,factor_simp,factor_simp')] ).
cnf(3382,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1))
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f1(dollar_c1,dollar_f2(dollar_c1))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3377,4,16,2419,40])])])]),
[iquote('hyper,3377,4,16,2419,40,factor_simp,factor_simp,factor_simp')] ).
cnf(3384,plain,
( subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1))
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f1(dollar_c1,dollar_f2(dollar_c1))) ),
inference(hyper,[status(thm)],[3382,14,20]),
[iquote('hyper,3382,14,20')] ).
cnf(3386,plain,
( subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1))
| greater(zero,growth_rate(first_movers,dollar_f1(dollar_c1,dollar_f2(dollar_c1))))
| contracts_from(dollar_f2(dollar_c1),first_movers) ),
inference(hyper,[status(thm)],[3384,13,16,17,39]),
[iquote('hyper,3384,13,16,17,39')] ).
cnf(3419,plain,
( subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1))
| contracts_from(dollar_f2(dollar_c1),first_movers) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3386,3,16,17,33])]),
[iquote('hyper,3386,3,16,17,33,factor_simp')] ).
cnf(3420,plain,
subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f2(dollar_c1)),
inference(hyper,[status(thm)],[3419,14,20]),
[iquote('hyper,3419,14,20')] ).
cnf(3421,plain,
greater(zero,growth_rate(first_movers,dollar_f2(dollar_c1))),
inference(hyper,[status(thm)],[3420,13,16,17,18]),
[iquote('hyper,3420,13,16,17,18')] ).
cnf(3427,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| in_environment(dollar_c1,dollar_f1(dollar_c1,dollar_f2(dollar_c1))) ),
inference(hyper,[status(thm)],[3421,2133]),
[iquote('hyper,3421,2133')] ).
cnf(3428,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| greater(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),dollar_f2(dollar_c1)) ),
inference(hyper,[status(thm)],[3421,1835]),
[iquote('hyper,3421,1835')] ).
cnf(3489,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| greater(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),appear(efficient_producers,dollar_c1)) ),
inference(hyper,[status(thm)],[3428,7,20]),
[iquote('hyper,3428,7,20')] ).
cnf(3542,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| greater_or_e_qual(dollar_f1(dollar_c1,dollar_f2(dollar_c1)),appear(efficient_producers,dollar_c1)) ),
inference(hyper,[status(thm)],[3489,9]),
[iquote('hyper,3489,9')] ).
cnf(3557,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| greater(cardinality_at_time(efficient_producers,dollar_f1(dollar_c1,dollar_f2(dollar_c1))),zero) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3542,11,16,3427])]),
[iquote('hyper,3542,11,16,3427,factor_simp')] ).
cnf(3569,plain,
( contracts_from(dollar_f2(dollar_c1),first_movers)
| subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f1(dollar_c1,dollar_f2(dollar_c1))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3557,4,16,3427,40])])]),
[iquote('hyper,3557,4,16,3427,40,factor_simp,factor_simp')] ).
cnf(3586,plain,
subpopulations(first_movers,efficient_producers,dollar_c1,dollar_f1(dollar_c1,dollar_f2(dollar_c1))),
inference(hyper,[status(thm)],[3569,14,20]),
[iquote('hyper,3569,14,20')] ).
cnf(3587,plain,
( greater(zero,growth_rate(first_movers,dollar_f1(dollar_c1,dollar_f2(dollar_c1))))
| contracts_from(dollar_f2(dollar_c1),first_movers) ),
inference(hyper,[status(thm)],[3586,13,16,17,39]),
[iquote('hyper,3586,13,16,17,39')] ).
cnf(3600,plain,
contracts_from(dollar_f2(dollar_c1),first_movers),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3587,3,16,17,33])]),
[iquote('hyper,3587,3,16,17,33,factor_simp')] ).
cnf(3601,plain,
$false,
inference(hyper,[status(thm)],[3600,14,20]),
[iquote('hyper,3600,14,20')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n020.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 04:05:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.88/2.09 ----- Otter 3.3f, August 2004 -----
% 1.88/2.09 The process was started by sandbox on n020.cluster.edu,
% 1.88/2.09 Wed Jul 27 04:05:08 2022
% 1.88/2.09 The command was "./otter". The process ID is 31621.
% 1.88/2.09
% 1.88/2.09 set(prolog_style_variables).
% 1.88/2.09 set(auto).
% 1.88/2.09 dependent: set(auto1).
% 1.88/2.09 dependent: set(process_input).
% 1.88/2.09 dependent: clear(print_kept).
% 1.88/2.09 dependent: clear(print_new_demod).
% 1.88/2.09 dependent: clear(print_back_demod).
% 1.88/2.09 dependent: clear(print_back_sub).
% 1.88/2.09 dependent: set(control_memory).
% 1.88/2.09 dependent: assign(max_mem, 12000).
% 1.88/2.09 dependent: assign(pick_given_ratio, 4).
% 1.88/2.09 dependent: assign(stats_level, 1).
% 1.88/2.09 dependent: assign(max_seconds, 10800).
% 1.88/2.09 clear(print_given).
% 1.88/2.09
% 1.88/2.09 formula_list(usable).
% 1.88/2.09 all A (A=A).
% 1.88/2.09 all E To (environment(E)&stable(E)&in_environment(E,To)& (all T (greater(cardinality_at_time(first_movers,T),zero)&greater_or_e_qual(T,To)->greater(zero,growth_rate(first_movers,T))))->contracts_from(To,first_movers)).
% 1.88/2.09 all E T (environment(E)&in_environment(E,T)&greater(cardinality_at_time(first_movers,T),zero)&greater(cardinality_at_time(efficient_producers,T),zero)->subpopulations(first_movers,efficient_producers,E,T)).
% 1.88/2.09 all E T1 T2 (environment(E)&stable(E)&in_environment(E,T1)&greater(T2,T1)->in_environment(E,T2)).
% 1.88/2.09 all E (environment(E)&stable(E)->in_environment(E,appear(efficient_producers,E))).
% 1.88/2.09 all X Y Z (greater(X,Y)&greater(Y,Z)->greater(X,Z)).
% 1.88/2.09 all X Y (greater_or_e_qual(X,Y)<->greater(X,Y)|X=Y).
% 1.88/2.09 all E T (environment(E)&in_environment(E,T)&greater_or_e_qual(T,appear(efficient_producers,E))->greater(cardinality_at_time(efficient_producers,T),zero)).
% 1.88/2.09 all E (environment(E)&stable(E)-> (exists To (greater(To,appear(efficient_producers,E))& (all T (subpopulations(first_movers,efficient_producers,E,T)&greater_or_e_qual(T,To)->greater(zero,growth_rate(first_movers,T))))))).
% 1.88/2.09 -(all E (environment(E)&stable(E)-> (exists To (greater(To,appear(efficient_producers,E))&contracts_from(To,first_movers))))).
% 1.88/2.09 end_of_list.
% 1.88/2.09
% 1.88/2.09 -------> usable clausifies to:
% 1.88/2.09
% 1.88/2.09 list(usable).
% 1.88/2.09 0 [] A=A.
% 1.88/2.09 0 [] -environment(E)| -stable(E)| -in_environment(E,To)|greater(cardinality_at_time(first_movers,$f1(E,To)),zero)|contracts_from(To,first_movers).
% 1.88/2.09 0 [] -environment(E)| -stable(E)| -in_environment(E,To)|greater_or_e_qual($f1(E,To),To)|contracts_from(To,first_movers).
% 1.88/2.09 0 [] -environment(E)| -stable(E)| -in_environment(E,To)| -greater(zero,growth_rate(first_movers,$f1(E,To)))|contracts_from(To,first_movers).
% 1.88/2.09 0 [] -environment(E)| -in_environment(E,T)| -greater(cardinality_at_time(first_movers,T),zero)| -greater(cardinality_at_time(efficient_producers,T),zero)|subpopulations(first_movers,efficient_producers,E,T).
% 1.88/2.09 0 [] -environment(E)| -stable(E)| -in_environment(E,T1)| -greater(T2,T1)|in_environment(E,T2).
% 1.88/2.09 0 [] -environment(E)| -stable(E)|in_environment(E,appear(efficient_producers,E)).
% 1.88/2.09 0 [] -greater(X,Y)| -greater(Y,Z)|greater(X,Z).
% 1.88/2.09 0 [] -greater_or_e_qual(X,Y)|greater(X,Y)|X=Y.
% 1.88/2.09 0 [] greater_or_e_qual(X,Y)| -greater(X,Y).
% 1.88/2.09 0 [] greater_or_e_qual(X,Y)|X!=Y.
% 1.88/2.09 0 [] -environment(E)| -in_environment(E,T)| -greater_or_e_qual(T,appear(efficient_producers,E))|greater(cardinality_at_time(efficient_producers,T),zero).
% 1.88/2.09 0 [] -environment(E)| -stable(E)|greater($f2(E),appear(efficient_producers,E)).
% 1.88/2.09 0 [] -environment(E)| -stable(E)| -subpopulations(first_movers,efficient_producers,E,T)| -greater_or_e_qual(T,$f2(E))|greater(zero,growth_rate(first_movers,T)).
% 1.88/2.09 0 [] environment($c1).
% 1.88/2.09 0 [] stable($c1).
% 1.88/2.09 0 [] -greater(To,appear(efficient_producers,$c1))| -contracts_from(To,first_movers).
% 1.88/2.09 end_of_list.
% 1.88/2.09
% 1.88/2.09 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.88/2.09
% 1.88/2.09 This ia a non-Horn set with equality. The strategy will be
% 1.88/2.09 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.88/2.09 deletion, with positive clauses in sos and nonpositive
% 1.88/2.09 clauses in usable.
% 1.88/2.09
% 1.88/2.09 dependent: set(knuth_bendix).
% 1.88/2.09 dependent: set(anl_eq).
% 1.88/2.09 dependent: set(para_from).
% 1.88/2.09 dependent: set(para_into).
% 1.88/2.09 dependent: clear(para_from_right).
% 1.88/2.09 dependent: clear(para_into_right).
% 1.88/2.09 dependent: set(para_from_vars).
% 1.88/2.09 dependent: set(eq_units_both_ways).
% 1.88/2.09 dependent: set(dynamic_demod_all).
% 1.88/2.09 dependent: set(dynamic_demod).
% 1.88/2.09 dependent: set(order_eq).
% 1.88/2.09 dependent: set(back_demod).
% 4.59/4.83 dependent: set(lrpo).
% 4.59/4.83 dependent: set(hyper_res).
% 4.59/4.83 dependent: set(unit_deletion).
% 4.59/4.83 dependent: set(factor).
% 4.59/4.83
% 4.59/4.83 ------------> process usable:
% 4.59/4.83 ** KEPT (pick-wt=17): 1 [] -environment(A)| -stable(A)| -in_environment(A,B)|greater(cardinality_at_time(first_movers,$f1(A,B)),zero)|contracts_from(B,first_movers).
% 4.59/4.83 ** KEPT (pick-wt=15): 2 [] -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_e_qual($f1(A,B),B)|contracts_from(B,first_movers).
% 4.59/4.83 ** KEPT (pick-wt=17): 3 [] -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,$f1(A,B)))|contracts_from(B,first_movers).
% 4.59/4.83 ** KEPT (pick-wt=20): 4 [] -environment(A)| -in_environment(A,B)| -greater(cardinality_at_time(first_movers,B),zero)| -greater(cardinality_at_time(efficient_producers,B),zero)|subpopulations(first_movers,efficient_producers,A,B).
% 4.59/4.83 ** KEPT (pick-wt=13): 5 [] -environment(A)| -stable(A)| -in_environment(A,B)| -greater(C,B)|in_environment(A,C).
% 4.59/4.83 ** KEPT (pick-wt=9): 6 [] -environment(A)| -stable(A)|in_environment(A,appear(efficient_producers,A)).
% 4.59/4.83 ** KEPT (pick-wt=9): 7 [] -greater(A,B)| -greater(B,C)|greater(A,C).
% 4.59/4.83 ** KEPT (pick-wt=9): 8 [] -greater_or_e_qual(A,B)|greater(A,B)|A=B.
% 4.59/4.83 ** KEPT (pick-wt=6): 9 [] greater_or_e_qual(A,B)| -greater(A,B).
% 4.59/4.83 ** KEPT (pick-wt=6): 10 [] greater_or_e_qual(A,B)|A!=B.
% 4.59/4.83 ** KEPT (pick-wt=15): 11 [] -environment(A)| -in_environment(A,B)| -greater_or_e_qual(B,appear(efficient_producers,A))|greater(cardinality_at_time(efficient_producers,B),zero).
% 4.59/4.83 ** KEPT (pick-wt=10): 12 [] -environment(A)| -stable(A)|greater($f2(A),appear(efficient_producers,A)).
% 4.59/4.83 ** KEPT (pick-wt=18): 13 [] -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_e_qual(B,$f2(A))|greater(zero,growth_rate(first_movers,B)).
% 4.59/4.83 ** KEPT (pick-wt=8): 14 [] -greater(A,appear(efficient_producers,$c1))| -contracts_from(A,first_movers).
% 4.59/4.83
% 4.59/4.83 ------------> process sos:
% 4.59/4.83 ** KEPT (pick-wt=3): 15 [] A=A.
% 4.59/4.83 ** KEPT (pick-wt=2): 16 [] environment($c1).
% 4.59/4.83 ** KEPT (pick-wt=2): 17 [] stable($c1).
% 4.59/4.83 Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] A=A.
% 4.59/4.83
% 4.59/4.83 ======= end of input processing =======
% 4.59/4.83
% 4.59/4.83 =========== start of search ===========
% 4.59/4.83
% 4.59/4.83
% 4.59/4.83 Resetting weight limit to 20.
% 4.59/4.83
% 4.59/4.83
% 4.59/4.83 Resetting weight limit to 20.
% 4.59/4.83
% 4.59/4.83 sos_size=2824
% 4.59/4.83
% 4.59/4.83
% 4.59/4.83 Resetting weight limit to 19.
% 4.59/4.83
% 4.59/4.83
% 4.59/4.83 Resetting weight limit to 19.
% 4.59/4.83
% 4.59/4.83 sos_size=2747
% 4.59/4.83
% 4.59/4.83 -------- PROOF --------
% 4.59/4.83
% 4.59/4.83 -----> EMPTY CLAUSE at 2.74 sec ----> 3601 [hyper,3600,14,20] $F.
% 4.59/4.83
% 4.59/4.83 Length of proof is 33. Level of proof is 23.
% 4.59/4.83
% 4.59/4.83 ---------------- PROOF ----------------
% 4.59/4.83 % SZS status Theorem
% 4.59/4.83 % SZS output start Refutation
% See solution above
% 4.59/4.83 ------------ end of proof -------------
% 4.59/4.83
% 4.59/4.83
% 4.59/4.83 Search stopped by max_proofs option.
% 4.59/4.83
% 4.59/4.83
% 4.59/4.83 Search stopped by max_proofs option.
% 4.59/4.83
% 4.59/4.83 ============ end of search ============
% 4.59/4.83
% 4.59/4.83 -------------- statistics -------------
% 4.59/4.83 clauses given 490
% 4.59/4.83 clauses generated 9968
% 4.59/4.83 clauses kept 3600
% 4.59/4.83 clauses forward subsumed 5520
% 4.59/4.83 clauses back subsumed 609
% 4.59/4.83 Kbytes malloced 4882
% 4.59/4.83
% 4.59/4.83 ----------- times (seconds) -----------
% 4.59/4.83 user CPU time 2.74 (0 hr, 0 min, 2 sec)
% 4.59/4.83 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 4.59/4.83 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 4.59/4.83
% 4.59/4.83 That finishes the proof of the theorem.
% 4.59/4.83
% 4.59/4.83 Process 31621 finished Wed Jul 27 04:05:13 2022
% 4.59/4.83 Otter interrupted
% 4.59/4.83 PROOF FOUND
%------------------------------------------------------------------------------