TSTP Solution File: MGT037-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:06:07 EDT 2022
% Result : Unsatisfiable 9.60s 9.74s
% Output : Refutation 9.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of clauses : 55 ( 20 unt; 21 nHn; 54 RR)
% Number of literals : 132 ( 19 equ; 60 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ environment(A)
| ~ greater_or_e_qual(B,appear(efficient_producers,A))
| cardinality_at_time(efficient_producers,B) != zero
| in_environment(A,sk1(B,A)) ),
file('MGT037-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ environment(A)
| ~ greater_or_e_qual(B,appear(efficient_producers,A))
| cardinality_at_time(efficient_producers,B) != zero
| greater(zero,growth_rate(efficient_producers,sk1(B,A))) ),
file('MGT037-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(appear(an_organisation,A),B)
| number_of_organizations(A,B) = zero ),
file('MGT037-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| decreases(number_of_organizations(A,B))
| subpopulation(sk2(B,A),A,B) ),
file('MGT037-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| decreases(number_of_organizations(A,B))
| greater(cardinality_at_time(sk2(B,A),B),zero) ),
file('MGT037-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| decreases(number_of_organizations(A,B))
| ~ greater(zero,growth_rate(sk2(B,A),B)) ),
file('MGT037-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| number_of_organizations(A,B) != zero
| ~ subpopulation(C,A,B)
| cardinality_at_time(C,B) = zero ),
file('MGT037-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulation(efficient_producers,A,B) ),
file('MGT037-1.p',unknown),
[] ).
cnf(12,axiom,
( cardinality_at_time(A,B) != zero
| ~ greater(zero,growth_rate(A,B)) ),
file('MGT037-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| cardinality_at_time(efficient_producers,B) = zero
| greater(cardinality_at_time(efficient_producers,B),zero) ),
file('MGT037-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ constant(A)
| ~ decreases(A) ),
file('MGT037-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_e_qual(B,appear(an_organisation,A))
| greater(appear(an_organisation,A),B) ),
file('MGT037-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ greater(e_quilibrium(A),B)
| decreases(resources(A,B)) ),
file('MGT037-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| greater(e_quilibrium(A),B)
| constant(resources(A,B)) ),
file('MGT037-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater_or_e_qual(B,appear(an_organisation,A))
| greater(number_of_organizations(A,B),zero) ),
file('MGT037-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ decreases(resources(A,B))
| ~ decreases(number_of_organizations(A,B)) ),
file('MGT037-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ constant(resources(A,B))
| constant(number_of_organizations(A,B)) ),
file('MGT037-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater(zero,growth_rate(C,B))
| ~ greater(resilience(D),resilience(C))
| ~ greater(zero,growth_rate(D,B)) ),
file('MGT037-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ environment(A)
| ~ subpopulation(B,A,C)
| ~ greater(cardinality_at_time(B,C),zero)
| B = efficient_producers
| B = first_movers ),
file('MGT037-1.p',unknown),
[] ).
cnf(23,axiom,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('MGT037-1.p',unknown),
[] ).
cnf(24,axiom,
A = A,
file('MGT037-1.p',unknown),
[] ).
cnf(25,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('MGT037-1.p',unknown),
[] ).
cnf(26,axiom,
environment(sk3),
file('MGT037-1.p',unknown),
[] ).
cnf(27,axiom,
in_environment(sk3,sk4),
file('MGT037-1.p',unknown),
[] ).
cnf(28,axiom,
greater_or_e_qual(sk4,appear(efficient_producers,sk3)),
file('MGT037-1.p',unknown),
[] ).
cnf(33,plain,
cardinality_at_time(efficient_producers,sk4) = zero,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[27,13,26]),23]),
[iquote('hyper,27,13,26,unit_del,23')] ).
cnf(38,plain,
~ greater(zero,zero),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[23]),33]),
[iquote('back_demod,23,demod,33')] ).
cnf(65,plain,
greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))),
inference(hyper,[status(thm)],[33,4,26,28]),
[iquote('hyper,32,4,26,28')] ).
cnf(67,plain,
in_environment(sk3,sk1(sk4,sk3)),
inference(hyper,[status(thm)],[33,2,26,28]),
[iquote('hyper,32,2,26,28')] ).
cnf(98,plain,
( greater_or_e_qual(sk1(sk4,sk3),appear(an_organisation,sk3))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
inference(hyper,[status(thm)],[67,15,26]),
[iquote('hyper,67,15,26')] ).
cnf(99,plain,
( cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero
| greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero) ),
inference(hyper,[status(thm)],[67,13,26]),
[iquote('hyper,67,13,26')] ).
cnf(100,plain,
subpopulation(efficient_producers,sk3,sk1(sk4,sk3)),
inference(hyper,[status(thm)],[67,11,26]),
[iquote('hyper,67,11,26')] ).
cnf(102,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero) ),
inference(hyper,[status(thm)],[67,7,26]),
[iquote('hyper,67,7,26')] ).
cnf(103,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)) ),
inference(hyper,[status(thm)],[67,6,26]),
[iquote('hyper,67,6,26')] ).
cnf(159,plain,
greater(zero,growth_rate(first_movers,sk1(sk4,sk3))),
inference(hyper,[status(thm)],[65,21,26,67,25]),
[iquote('hyper,65,21,26,67,25')] ).
cnf(1166,plain,
( greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) ),
inference(hyper,[status(thm)],[98,18,26,67]),
[iquote('hyper,98,18,26,67')] ).
cnf(1242,plain,
greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[99,12]),24,65]),
[iquote('para_from,99.1.1,12.1.1,unit_del,24,65')] ).
cnf(1315,plain,
( ~ environment(A)
| ~ in_environment(A,sk1(sk4,sk3))
| number_of_organizations(A,sk1(sk4,sk3)) != zero
| ~ subpopulation(efficient_producers,A,sk1(sk4,sk3)) ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1242,9]),38]),
[iquote('para_into,1242.1.1,9.5.1,unit_del,38')] ).
cnf(2655,plain,
( greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero ),
inference(hyper,[status(thm)],[1166,5,26,67]),
[iquote('hyper,1166,5,26,67')] ).
cnf(2717,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| greater(e_quilibrium(sk3),sk1(sk4,sk3))
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(hyper,[status(thm)],[2655,17,26,67]),
[iquote('hyper,2655,17,26,67')] ).
cnf(2848,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| greater(e_quilibrium(sk3),sk1(sk4,sk3))
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(hyper,[status(thm)],[2717,20,26,67]),
[iquote('hyper,2717,20,26,67')] ).
cnf(2874,plain,
( greater(e_quilibrium(sk3),sk1(sk4,sk3))
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1315,2848]),26,67,24,100]),
[iquote('para_into,1315.3.1,2848.1.1,unit_del,26,67,24,100')] ).
cnf(2877,plain,
greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1315,2655]),26,67,24,100]),
[iquote('para_into,1315.3.1,2655.2.1,unit_del,26,67,24,100')] ).
cnf(2887,plain,
( greater(e_quilibrium(sk3),sk1(sk4,sk3))
| subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)) ),
inference(hyper,[status(thm)],[2874,14,103]),
[iquote('hyper,2874,14,103')] ).
cnf(2888,plain,
( greater(e_quilibrium(sk3),sk1(sk4,sk3))
| greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero) ),
inference(hyper,[status(thm)],[2874,14,102]),
[iquote('hyper,2874,14,102')] ).
cnf(2889,plain,
( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| decreases(resources(sk3,sk1(sk4,sk3))) ),
inference(hyper,[status(thm)],[2887,16,26,67,2877]),
[iquote('hyper,2887,16,26,67,2877')] ).
cnf(2890,plain,
subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2889,19,26,67,103])]),
[iquote('hyper,2889,19,26,67,103,factor_simp')] ).
cnf(2891,plain,
( greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)
| decreases(resources(sk3,sk1(sk4,sk3))) ),
inference(hyper,[status(thm)],[2888,16,26,67,2877]),
[iquote('hyper,2888,16,26,67,2877')] ).
cnf(2893,plain,
greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2891,19,26,67,102])]),
[iquote('hyper,2891,19,26,67,102,factor_simp')] ).
cnf(2894,plain,
( sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers ),
inference(hyper,[status(thm)],[2893,22,26,2890]),
[iquote('hyper,2893,22,26,2890')] ).
cnf(2895,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| sk2(sk1(sk4,sk3),sk3) = first_movers ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2894,8]),26,67,65]),
[iquote('para_from,2894.1.1,8.4.2.1,unit_del,26,67,65')] ).
cnf(2900,plain,
decreases(number_of_organizations(sk3,sk1(sk4,sk3))),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2895,8]),26,67,159])]),
[iquote('para_from,2895.2.1,8.4.2.1,unit_del,26,67,159,factor_simp')] ).
cnf(2901,plain,
greater(e_quilibrium(sk3),sk1(sk4,sk3)),
inference(hyper,[status(thm)],[2900,14,2874]),
[iquote('hyper,2900,14,2874')] ).
cnf(2918,plain,
decreases(resources(sk3,sk1(sk4,sk3))),
inference(hyper,[status(thm)],[2901,16,26,67,2877]),
[iquote('hyper,2901,16,26,67,2877')] ).
cnf(2935,plain,
$false,
inference(hyper,[status(thm)],[2918,19,26,67,2900]),
[iquote('hyper,2918,19,26,67,2900')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n011.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 03:56:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.04/2.21 ----- Otter 3.3f, August 2004 -----
% 2.04/2.21 The process was started by sandbox2 on n011.cluster.edu,
% 2.04/2.21 Wed Jul 27 03:56:55 2022
% 2.04/2.21 The command was "./otter". The process ID is 18814.
% 2.04/2.21
% 2.04/2.21 set(prolog_style_variables).
% 2.04/2.21 set(auto).
% 2.04/2.21 dependent: set(auto1).
% 2.04/2.21 dependent: set(process_input).
% 2.04/2.21 dependent: clear(print_kept).
% 2.04/2.21 dependent: clear(print_new_demod).
% 2.04/2.21 dependent: clear(print_back_demod).
% 2.04/2.21 dependent: clear(print_back_sub).
% 2.04/2.21 dependent: set(control_memory).
% 2.04/2.21 dependent: assign(max_mem, 12000).
% 2.04/2.21 dependent: assign(pick_given_ratio, 4).
% 2.04/2.21 dependent: assign(stats_level, 1).
% 2.04/2.21 dependent: assign(max_seconds, 10800).
% 2.04/2.21 clear(print_given).
% 2.04/2.21
% 2.04/2.21 list(usable).
% 2.04/2.21 0 [] A=A.
% 2.04/2.21 0 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(sk1(B,A),appear(efficient_producers,A)).
% 2.04/2.21 0 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|in_environment(A,sk1(B,A)).
% 2.04/2.21 0 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(B,sk1(B,A)).
% 2.04/2.21 0 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(zero,growth_rate(efficient_producers,sk1(B,A))).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)| -greater(appear(an_organisation,A),B)|number_of_organizations(A,B)=zero.
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|subpopulation(sk2(B,A),A,B).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|greater(cardinality_at_time(sk2(B,A),B),zero).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))| -greater(zero,growth_rate(sk2(B,A),B)).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|number_of_organizations(A,B)!=zero| -subpopulation(C,A,B)|cardinality_at_time(C,B)=zero.
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|subpopulation(first_movers,A,B).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|subpopulation(efficient_producers,A,B).
% 2.04/2.21 0 [] cardinality_at_time(A,B)!=zero| -greater(zero,growth_rate(A,B)).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|cardinality_at_time(efficient_producers,B)=zero|greater(cardinality_at_time(efficient_producers,B),zero).
% 2.04/2.21 0 [] -constant(A)| -decreases(A).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|greater_or_e_qual(B,appear(an_organisation,A))|greater(appear(an_organisation,A),B).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)| -greater(e_quilibrium(A),B)|decreases(resources(A,B)).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)|greater(e_quilibrium(A),B)|constant(resources(A,B)).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)| -greater_or_e_qual(B,appear(an_organisation,A))|greater(number_of_organizations(A,B),zero).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)| -decreases(resources(A,B))| -decreases(number_of_organizations(A,B)).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)| -constant(resources(A,B))|constant(number_of_organizations(A,B)).
% 2.04/2.21 0 [] -environment(A)| -in_environment(A,B)|greater(zero,growth_rate(C,B))| -greater(resilience(D),resilience(C))| -greater(zero,growth_rate(D,B)).
% 2.04/2.21 0 [] greater(resilience(efficient_producers),resilience(first_movers)).
% 2.04/2.21 0 [] -environment(A)| -subpopulation(B,A,C)| -greater(cardinality_at_time(B,C),zero)|B=efficient_producers|B=first_movers.
% 2.04/2.21 0 [] environment(sk3).
% 2.04/2.21 0 [] in_environment(sk3,sk4).
% 2.04/2.21 0 [] greater_or_e_qual(sk4,appear(efficient_producers,sk3)).
% 2.04/2.21 0 [] -greater(cardinality_at_time(efficient_producers,sk4),zero).
% 2.04/2.21 end_of_list.
% 2.04/2.21
% 2.04/2.21 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.04/2.21
% 2.04/2.21 This ia a non-Horn set with equality. The strategy will be
% 2.04/2.21 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.04/2.21 deletion, with positive clauses in sos and nonpositive
% 2.04/2.21 clauses in usable.
% 2.04/2.21
% 2.04/2.21 dependent: set(knuth_bendix).
% 2.04/2.21 dependent: set(anl_eq).
% 2.04/2.21 dependent: set(para_from).
% 2.04/2.21 dependent: set(para_into).
% 2.04/2.21 dependent: clear(para_from_right).
% 2.04/2.21 dependent: clear(para_into_right).
% 2.04/2.21 dependent: set(para_from_vars).
% 2.04/2.22 dependent: set(eq_units_both_ways).
% 2.04/2.22 dependent: set(dynamic_demod_all).
% 2.04/2.22 dependent: set(dynamic_demod).
% 2.04/2.22 dependent: set(order_eq).
% 2.04/2.22 dependent: set(back_demod).
% 2.04/2.22 dependent: set(lrpo).
% 2.04/2.22 dependent: set(hyper_res).
% 2.04/2.22 dependent: set(unit_deletion).
% 2.04/2.22 dependent: set(factor).
% 2.04/2.22
% 2.04/2.22 ------------> process usable:
% 2.04/2.22 ** KEPT (pick-wt=19): 1 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(sk1(B,A),appear(efficient_producers,A)).
% 2.04/2.22 ** KEPT (pick-wt=17): 2 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|in_environment(A,sk1(B,A)).
% 2.04/2.22 ** KEPT (pick-wt=17): 3 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(B,sk1(B,A)).
% 2.04/2.22 ** KEPT (pick-wt=19): 4 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(zero,growth_rate(efficient_producers,sk1(B,A))).
% 2.04/2.22 ** KEPT (pick-wt=15): 5 [] -environment(A)| -in_environment(A,B)| -greater(appear(an_organisation,A),B)|number_of_organizations(A,B)=zero.
% 2.04/2.22 ** KEPT (pick-wt=15): 6 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|subpopulation(sk2(B,A),A,B).
% 2.04/2.22 ** KEPT (pick-wt=16): 7 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|greater(cardinality_at_time(sk2(B,A),B),zero).
% 2.04/2.22 ** KEPT (pick-wt=16): 8 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))| -greater(zero,growth_rate(sk2(B,A),B)).
% 2.04/2.22 ** KEPT (pick-wt=19): 9 [] -environment(A)| -in_environment(A,B)|number_of_organizations(A,B)!=zero| -subpopulation(C,A,B)|cardinality_at_time(C,B)=zero.
% 2.04/2.22 ** KEPT (pick-wt=9): 10 [] -environment(A)| -in_environment(A,B)|subpopulation(first_movers,A,B).
% 2.04/2.22 ** KEPT (pick-wt=9): 11 [] -environment(A)| -in_environment(A,B)|subpopulation(efficient_producers,A,B).
% 2.04/2.22 ** KEPT (pick-wt=10): 12 [] cardinality_at_time(A,B)!=zero| -greater(zero,growth_rate(A,B)).
% 2.04/2.22 ** KEPT (pick-wt=15): 13 [] -environment(A)| -in_environment(A,B)|cardinality_at_time(efficient_producers,B)=zero|greater(cardinality_at_time(efficient_producers,B),zero).
% 2.04/2.22 ** KEPT (pick-wt=4): 14 [] -constant(A)| -decreases(A).
% 2.04/2.22 ** KEPT (pick-wt=15): 15 [] -environment(A)| -in_environment(A,B)|greater_or_e_qual(B,appear(an_organisation,A))|greater(appear(an_organisation,A),B).
% 2.04/2.22 ** KEPT (pick-wt=18): 16 [] -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)| -greater(e_quilibrium(A),B)|decreases(resources(A,B)).
% 2.04/2.22 ** KEPT (pick-wt=18): 17 [] -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)|greater(e_quilibrium(A),B)|constant(resources(A,B)).
% 2.04/2.22 ** KEPT (pick-wt=15): 18 [] -environment(A)| -in_environment(A,B)| -greater_or_e_qual(B,appear(an_organisation,A))|greater(number_of_organizations(A,B),zero).
% 2.04/2.22 ** KEPT (pick-wt=13): 19 [] -environment(A)| -in_environment(A,B)| -decreases(resources(A,B))| -decreases(number_of_organizations(A,B)).
% 2.04/2.22 ** KEPT (pick-wt=13): 20 [] -environment(A)| -in_environment(A,B)| -constant(resources(A,B))|constant(number_of_organizations(A,B)).
% 2.04/2.22 ** KEPT (pick-wt=20): 21 [] -environment(A)| -in_environment(A,B)|greater(zero,growth_rate(C,B))| -greater(resilience(D),resilience(C))| -greater(zero,growth_rate(D,B)).
% 2.04/2.22 ** KEPT (pick-wt=17): 22 [] -environment(A)| -subpopulation(B,A,C)| -greater(cardinality_at_time(B,C),zero)|B=efficient_producers|B=first_movers.
% 2.04/2.22 ** KEPT (pick-wt=5): 23 [] -greater(cardinality_at_time(efficient_producers,sk4),zero).
% 2.04/2.22
% 2.04/2.22 ------------> process sos:
% 2.04/2.22 ** KEPT (pick-wt=3): 24 [] A=A.
% 2.04/2.22 ** KEPT (pick-wt=5): 25 [] greater(resilience(efficient_producers),resilience(first_movers)).
% 2.04/2.22 ** KEPT (pick-wt=2): 26 [] environment(sk3).
% 2.04/2.22 ** KEPT (pick-wt=3): 27 [] in_environment(sk3,sk4).
% 2.04/2.22 ** KEPT (pick-wt=5): 28 [] greater_or_e_qual(sk4,appear(efficient_producers,sk3)).
% 2.04/2.22 Following clause subsumed by 24 during input processing: 0 [copy,24,flip.1] A=A.
% 2.04/2.22
% 2.04/2.22 ======= end of input processing =======
% 9.60/9.74
% 9.60/9.74 =========== start of search ===========
% 9.60/9.74
% 9.60/9.74
% 9.60/9.74 Resetting weight limit to 20.
% 9.60/9.74
% 9.60/9.74
% 9.60/9.74 Resetting weight limit to 20.
% 9.60/9.74
% 9.60/9.74 sos_size=2575
% 9.60/9.74
% 9.60/9.74 -------- PROOF --------
% 9.60/9.74
% 9.60/9.74 -----> EMPTY CLAUSE at 7.52 sec ----> 2935 [hyper,2918,19,26,67,2900] $F.
% 9.60/9.74
% 9.60/9.74 Length of proof is 29. Level of proof is 16.
% 9.60/9.74
% 9.60/9.74 ---------------- PROOF ----------------
% 9.60/9.74 % SZS status Unsatisfiable
% 9.60/9.74 % SZS output start Refutation
% See solution above
% 9.60/9.74 ------------ end of proof -------------
% 9.60/9.74
% 9.60/9.74
% 9.60/9.74 Search stopped by max_proofs option.
% 9.60/9.74
% 9.60/9.74
% 9.60/9.74 Search stopped by max_proofs option.
% 9.60/9.74
% 9.60/9.74 ============ end of search ============
% 9.60/9.74
% 9.60/9.74 -------------- statistics -------------
% 9.60/9.74 clauses given 345
% 9.60/9.74 clauses generated 65949
% 9.60/9.74 clauses kept 2933
% 9.60/9.74 clauses forward subsumed 1762
% 9.60/9.74 clauses back subsumed 245
% 9.60/9.74 Kbytes malloced 4882
% 9.60/9.74
% 9.60/9.74 ----------- times (seconds) -----------
% 9.60/9.74 user CPU time 7.52 (0 hr, 0 min, 7 sec)
% 9.60/9.74 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 9.60/9.74 wall-clock time 10 (0 hr, 0 min, 10 sec)
% 9.60/9.74
% 9.60/9.74 That finishes the proof of the theorem.
% 9.60/9.74
% 9.60/9.74 Process 18814 finished Wed Jul 27 03:57:05 2022
% 9.60/9.74 Otter interrupted
% 9.60/9.74 PROOF FOUND
%------------------------------------------------------------------------------