TSTP Solution File: MGT024+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 : Theorem 1.62s 1.84s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of clauses : 46 ( 11 unt; 24 nHn; 45 RR)
% Number of literals : 132 ( 24 equ; 49 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
file('MGT024+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ),
file('MGT024+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ environment(A)
| ~ greater_or_e_qual(B,e_quilibrium(A))
| ~ greater(e_quilibrium(A),B) ),
file('MGT024+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| greater(e_quilibrium(A),B)
| constant(resources(A,B)) ),
file('MGT024+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ constant(resources(A,B))
| constant(number_of_organizations(A,B)) ),
file('MGT024+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(first_movers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
file('MGT024+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(first_movers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
file('MGT024+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(efficient_producers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
file('MGT024+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(efficient_producers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
file('MGT024+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(efficient_producers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
file('MGT024+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(efficient_producers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(zero,growth_rate(first_movers,B)) ),
file('MGT024+1.p',unknown),
[] ).
cnf(16,axiom,
( growth_rate(first_movers,dollar_c1) != zero
| growth_rate(efficient_producers,dollar_c1) != zero ),
file('MGT024+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ greater(growth_rate(first_movers,dollar_c1),zero)
| ~ greater(zero,growth_rate(efficient_producers,dollar_c1)) ),
file('MGT024+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ greater(growth_rate(efficient_producers,dollar_c1),zero)
| ~ greater(zero,growth_rate(first_movers,dollar_c1)) ),
file('MGT024+1.p',unknown),
[] ).
cnf(19,axiom,
A = A,
file('MGT024+1.p',unknown),
[] ).
cnf(20,axiom,
environment(dollar_c2),
file('MGT024+1.p',unknown),
[] ).
cnf(21,axiom,
subpopulations(first_movers,efficient_producers,dollar_c2,dollar_c1),
file('MGT024+1.p',unknown),
[] ).
cnf(22,axiom,
greater_or_e_qual(dollar_c1,e_quilibrium(dollar_c2)),
file('MGT024+1.p',unknown),
[] ).
cnf(23,plain,
greater(number_of_organizations(dollar_c2,dollar_c1),zero),
inference(hyper,[status(thm)],[21,2,20]),
[iquote('hyper,21,2,20')] ).
cnf(24,plain,
in_environment(dollar_c2,dollar_c1),
inference(hyper,[status(thm)],[21,1,20]),
[iquote('hyper,21,1,20')] ).
cnf(25,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| constant(resources(dollar_c2,dollar_c1)) ),
inference(hyper,[status(thm)],[23,5,20,24]),
[iquote('hyper,23,5,20,24')] ).
cnf(26,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| constant(number_of_organizations(dollar_c2,dollar_c1)) ),
inference(hyper,[status(thm)],[25,7,20,24]),
[iquote('hyper,25,7,20,24')] ).
cnf(27,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(efficient_producers,dollar_c1) = zero
| greater(zero,growth_rate(efficient_producers,dollar_c1))
| greater(zero,growth_rate(first_movers,dollar_c1)) ),
inference(hyper,[status(thm)],[26,15,20,21]),
[iquote('hyper,26,15,20,21')] ).
cnf(28,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(efficient_producers,dollar_c1) = zero
| greater(zero,growth_rate(efficient_producers,dollar_c1))
| greater(growth_rate(efficient_producers,dollar_c1),zero) ),
inference(hyper,[status(thm)],[26,14,20,21]),
[iquote('hyper,26,14,20,21')] ).
cnf(29,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(efficient_producers,dollar_c1) = zero
| greater(growth_rate(first_movers,dollar_c1),zero)
| greater(zero,growth_rate(first_movers,dollar_c1)) ),
inference(hyper,[status(thm)],[26,13,20,21]),
[iquote('hyper,26,13,20,21')] ).
cnf(30,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(efficient_producers,dollar_c1) = zero
| greater(growth_rate(first_movers,dollar_c1),zero)
| greater(growth_rate(efficient_producers,dollar_c1),zero) ),
inference(hyper,[status(thm)],[26,12,20,21]),
[iquote('hyper,26,12,20,21')] ).
cnf(33,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(first_movers,dollar_c1) = zero
| greater(growth_rate(first_movers,dollar_c1),zero)
| greater(zero,growth_rate(first_movers,dollar_c1)) ),
inference(hyper,[status(thm)],[26,9,20,21]),
[iquote('hyper,26,9,20,21')] ).
cnf(36,plain,
( growth_rate(efficient_producers,dollar_c1) = zero
| greater(zero,growth_rate(efficient_producers,dollar_c1))
| greater(zero,growth_rate(first_movers,dollar_c1)) ),
inference(hyper,[status(thm)],[27,3,20,22]),
[iquote('hyper,27,3,20,22')] ).
cnf(41,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(efficient_producers,dollar_c1) = zero
| greater(zero,growth_rate(efficient_producers,dollar_c1)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[28,18,36])])]),
[iquote('hyper,28,18,36,factor_simp,factor_simp')] ).
cnf(43,plain,
( growth_rate(efficient_producers,dollar_c1) = zero
| greater(zero,growth_rate(efficient_producers,dollar_c1)) ),
inference(hyper,[status(thm)],[41,3,20,22]),
[iquote('hyper,41,3,20,22')] ).
cnf(46,plain,
( growth_rate(first_movers,dollar_c1) != zero
| greater(zero,growth_rate(efficient_producers,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[43,16]),19]),
[iquote('para_from,43.1.1,16.2.1,unit_del,19')] ).
cnf(49,plain,
( greater(zero,growth_rate(efficient_producers,dollar_c1))
| ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,dollar_c1)
| ~ constant(number_of_organizations(A,dollar_c1))
| greater(growth_rate(efficient_producers,dollar_c1),zero) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[46,10]),19])]),
[iquote('para_into,46.1.1,10.4.1,unit_del,19,factor_simp')] ).
cnf(54,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(efficient_producers,dollar_c1) = zero
| greater(zero,growth_rate(first_movers,dollar_c1)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[29,17,43])]),
[iquote('hyper,29,17,43,factor_simp')] ).
cnf(56,plain,
( growth_rate(efficient_producers,dollar_c1) = zero
| greater(zero,growth_rate(first_movers,dollar_c1)) ),
inference(hyper,[status(thm)],[54,3,20,22]),
[iquote('hyper,54,3,20,22')] ).
cnf(64,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(efficient_producers,dollar_c1) = zero
| greater(growth_rate(efficient_producers,dollar_c1),zero) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[30,17,43])]),
[iquote('hyper,30,17,43,factor_simp')] ).
cnf(68,plain,
( greater(e_quilibrium(dollar_c2),dollar_c1)
| growth_rate(efficient_producers,dollar_c1) = zero ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[64,18,56])]),
[iquote('hyper,64,18,56,factor_simp')] ).
cnf(71,plain,
growth_rate(efficient_producers,dollar_c1) = zero,
inference(hyper,[status(thm)],[68,3,20,22]),
[iquote('hyper,68,3,20,22')] ).
cnf(73,plain,
( greater(zero,zero)
| ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,dollar_c1)
| ~ constant(number_of_organizations(A,dollar_c1)) ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[49]),71,71])]),
[iquote('back_demod,49,demod,71,71,factor_simp')] ).
cnf(77,plain,
( ~ greater(zero,zero)
| ~ greater(zero,growth_rate(first_movers,dollar_c1)) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[18]),71]),
[iquote('back_demod,18,demod,71')] ).
cnf(78,plain,
( ~ greater(growth_rate(first_movers,dollar_c1),zero)
| ~ greater(zero,zero) ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[17]),71]),
[iquote('back_demod,17,demod,71')] ).
cnf(79,plain,
growth_rate(first_movers,dollar_c1) != zero,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[16]),71]),19]),
[iquote('back_demod,16,demod,71,unit_del,19')] ).
cnf(81,plain,
( greater(growth_rate(first_movers,dollar_c1),zero)
| greater(zero,growth_rate(first_movers,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[33,3,20,22]),79]),
[iquote('hyper,33,3,20,22,unit_del,79')] ).
cnf(82,plain,
( greater(zero,zero)
| greater(e_quilibrium(dollar_c2),dollar_c1) ),
inference(hyper,[status(thm)],[73,20,21,26]),
[iquote('hyper,73,20,21,26')] ).
cnf(86,plain,
greater(zero,zero),
inference(hyper,[status(thm)],[82,3,20,22]),
[iquote('hyper,82,3,20,22')] ).
cnf(87,plain,
greater(zero,growth_rate(first_movers,dollar_c1)),
inference(hyper,[status(thm)],[86,78,81]),
[iquote('hyper,86,78,81')] ).
cnf(89,plain,
$false,
inference(hyper,[status(thm)],[87,77,86]),
[iquote('hyper,87,77,86')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% 0.13/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 04:21:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.62/1.83 ----- Otter 3.3f, August 2004 -----
% 1.62/1.83 The process was started by sandbox on n016.cluster.edu,
% 1.62/1.83 Wed Jul 27 04:21:07 2022
% 1.62/1.83 The command was "./otter". The process ID is 20761.
% 1.62/1.83
% 1.62/1.83 set(prolog_style_variables).
% 1.62/1.83 set(auto).
% 1.62/1.83 dependent: set(auto1).
% 1.62/1.83 dependent: set(process_input).
% 1.62/1.83 dependent: clear(print_kept).
% 1.62/1.83 dependent: clear(print_new_demod).
% 1.62/1.83 dependent: clear(print_back_demod).
% 1.62/1.83 dependent: clear(print_back_sub).
% 1.62/1.83 dependent: set(control_memory).
% 1.62/1.83 dependent: assign(max_mem, 12000).
% 1.62/1.83 dependent: assign(pick_given_ratio, 4).
% 1.62/1.83 dependent: assign(stats_level, 1).
% 1.62/1.83 dependent: assign(max_seconds, 10800).
% 1.62/1.83 clear(print_given).
% 1.62/1.83
% 1.62/1.83 formula_list(usable).
% 1.62/1.83 all A (A=A).
% 1.62/1.83 all E T (environment(E)&subpopulations(first_movers,efficient_producers,E,T)->in_environment(E,T)).
% 1.62/1.83 all E T (environment(E)&subpopulations(first_movers,efficient_producers,E,T)->greater(number_of_organizations(E,T),zero)).
% 1.62/1.83 all E T (environment(E)&greater_or_e_qual(T,e_quilibrium(E))-> -greater(e_quilibrium(E),T)).
% 1.62/1.83 all E T (environment(E)&in_environment(E,T)&greater(number_of_organizations(E,T),zero)-> (greater(e_quilibrium(E),T)->decreases(resources(E,T)))& (-greater(e_quilibrium(E),T)->constant(resources(E,T)))).
% 1.62/1.84 all E T (environment(E)&in_environment(E,T)-> (decreases(resources(E,T))-> -decreases(number_of_organizations(E,T)))& (constant(resources(E,T))->constant(number_of_organizations(E,T)))).
% 1.62/1.84 all E T (environment(E)&subpopulations(first_movers,efficient_producers,E,T)&constant(number_of_organizations(E,T))->growth_rate(first_movers,T)=zero&growth_rate(efficient_producers,T)=zero|greater(growth_rate(first_movers,T),zero)&greater(zero,growth_rate(efficient_producers,T))|greater(growth_rate(efficient_producers,T),zero)&greater(zero,growth_rate(first_movers,T))).
% 1.62/1.84 -(all E T (environment(E)&subpopulations(first_movers,efficient_producers,E,T)&greater_or_e_qual(T,e_quilibrium(E))->growth_rate(first_movers,T)=zero&growth_rate(efficient_producers,T)=zero|greater(growth_rate(first_movers,T),zero)&greater(zero,growth_rate(efficient_producers,T))|greater(growth_rate(efficient_producers,T),zero)&greater(zero,growth_rate(first_movers,T)))).
% 1.62/1.84 end_of_list.
% 1.62/1.84
% 1.62/1.84 -------> usable clausifies to:
% 1.62/1.84
% 1.62/1.84 list(usable).
% 1.62/1.84 0 [] A=A.
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)|in_environment(E,T).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)|greater(number_of_organizations(E,T),zero).
% 1.62/1.84 0 [] -environment(E)| -greater_or_e_qual(T,e_quilibrium(E))| -greater(e_quilibrium(E),T).
% 1.62/1.84 0 [] -environment(E)| -in_environment(E,T)| -greater(number_of_organizations(E,T),zero)| -greater(e_quilibrium(E),T)|decreases(resources(E,T)).
% 1.62/1.84 0 [] -environment(E)| -in_environment(E,T)| -greater(number_of_organizations(E,T),zero)|greater(e_quilibrium(E),T)|constant(resources(E,T)).
% 1.62/1.84 0 [] -environment(E)| -in_environment(E,T)| -decreases(resources(E,T))| -decreases(number_of_organizations(E,T)).
% 1.62/1.84 0 [] -environment(E)| -in_environment(E,T)| -constant(resources(E,T))|constant(number_of_organizations(E,T)).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)| -constant(number_of_organizations(E,T))|growth_rate(first_movers,T)=zero|greater(growth_rate(first_movers,T),zero)|greater(growth_rate(efficient_producers,T),zero).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)| -constant(number_of_organizations(E,T))|growth_rate(first_movers,T)=zero|greater(growth_rate(first_movers,T),zero)|greater(zero,growth_rate(first_movers,T)).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)| -constant(number_of_organizations(E,T))|growth_rate(first_movers,T)=zero|greater(zero,growth_rate(efficient_producers,T))|greater(growth_rate(efficient_producers,T),zero).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)| -constant(number_of_organizations(E,T))|growth_rate(first_movers,T)=zero|greater(zero,growth_rate(efficient_producers,T))|greater(zero,growth_rate(first_movers,T)).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)| -constant(number_of_organizations(E,T))|growth_rate(efficient_producers,T)=zero|greater(growth_rate(first_movers,T),zero)|greater(growth_rate(efficient_producers,T),zero).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)| -constant(number_of_organizations(E,T))|growth_rate(efficient_producers,T)=zero|greater(growth_rate(first_movers,T),zero)|greater(zero,growth_rate(first_movers,T)).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)| -constant(number_of_organizations(E,T))|growth_rate(efficient_producers,T)=zero|greater(zero,growth_rate(efficient_producers,T))|greater(growth_rate(efficient_producers,T),zero).
% 1.62/1.84 0 [] -environment(E)| -subpopulations(first_movers,efficient_producers,E,T)| -constant(number_of_organizations(E,T))|growth_rate(efficient_producers,T)=zero|greater(zero,growth_rate(efficient_producers,T))|greater(zero,growth_rate(first_movers,T)).
% 1.62/1.84 0 [] environment($c2).
% 1.62/1.84 0 [] subpopulations(first_movers,efficient_producers,$c2,$c1).
% 1.62/1.84 0 [] greater_or_e_qual($c1,e_quilibrium($c2)).
% 1.62/1.84 0 [] growth_rate(first_movers,$c1)!=zero|growth_rate(efficient_producers,$c1)!=zero.
% 1.62/1.84 0 [] -greater(growth_rate(first_movers,$c1),zero)| -greater(zero,growth_rate(efficient_producers,$c1)).
% 1.62/1.84 0 [] -greater(growth_rate(efficient_producers,$c1),zero)| -greater(zero,growth_rate(first_movers,$c1)).
% 1.62/1.84 end_of_list.
% 1.62/1.84
% 1.62/1.84 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.62/1.84
% 1.62/1.84 This ia a non-Horn set with equality. The strategy will be
% 1.62/1.84 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.62/1.84 deletion, with positive clauses in sos and nonpositive
% 1.62/1.84 clauses in usable.
% 1.62/1.84
% 1.62/1.84 dependent: set(knuth_bendix).
% 1.62/1.84 dependent: set(anl_eq).
% 1.62/1.84 dependent: set(para_from).
% 1.62/1.84 dependent: set(para_into).
% 1.62/1.84 dependent: clear(para_from_right).
% 1.62/1.84 dependent: clear(para_into_right).
% 1.62/1.84 dependent: set(para_from_vars).
% 1.62/1.84 dependent: set(eq_units_both_ways).
% 1.62/1.84 dependent: set(dynamic_demod_all).
% 1.62/1.84 dependent: set(dynamic_demod).
% 1.62/1.84 dependent: set(order_eq).
% 1.62/1.84 dependent: set(back_demod).
% 1.62/1.84 dependent: set(lrpo).
% 1.62/1.84 dependent: set(hyper_res).
% 1.62/1.84 dependent: set(unit_deletion).
% 1.62/1.84 dependent: set(factor).
% 1.62/1.84
% 1.62/1.84 ------------> process usable:
% 1.62/1.84 ** KEPT (pick-wt=10): 1 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B).
% 1.62/1.84 ** KEPT (pick-wt=12): 2 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)|greater(number_of_organizations(A,B),zero).
% 1.62/1.84 ** KEPT (pick-wt=10): 3 [] -environment(A)| -greater_or_e_qual(B,e_quilibrium(A))| -greater(e_quilibrium(A),B).
% 1.62/1.84 ** KEPT (pick-wt=18): 4 [] -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)| -greater(e_quilibrium(A),B)|decreases(resources(A,B)).
% 1.62/1.84 ** KEPT (pick-wt=18): 5 [] -environment(A)| -in_environment(A,B)| -greater(number_of_organizations(A,B),zero)|greater(e_quilibrium(A),B)|constant(resources(A,B)).
% 1.62/1.84 ** KEPT (pick-wt=13): 6 [] -environment(A)| -in_environment(A,B)| -decreases(resources(A,B))| -decreases(number_of_organizations(A,B)).
% 1.62/1.84 ** KEPT (pick-wt=13): 7 [] -environment(A)| -in_environment(A,B)| -constant(resources(A,B))|constant(number_of_organizations(A,B)).
% 1.62/1.84 ** KEPT (pick-wt=26): 8 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -constant(number_of_organizations(A,B))|growth_rate(first_movers,B)=zero|greater(growth_rate(first_movers,B),zero)|greater(growth_rate(efficient_producers,B),zero).
% 1.62/1.84 ** KEPT (pick-wt=26): 9 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -constant(number_of_organizations(A,B))|growth_rate(first_movers,B)=zero|greater(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(first_movers,B)).
% 1.62/1.84 ** KEPT (pick-wt=26): 10 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -constant(number_of_organizations(A,B))|growth_rate(first_movers,B)=zero|greater(zero,growth_rate(efficient_producers,B))|greater(growth_rate(efficient_producers,B),zero).
% 1.62/1.84 ** KEPT (pick-wt=26): 11 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -constant(number_of_organizations(A,B))|growth_rate(first_movers,B)=zero|greater(zero,growth_rate(efficient_producers,B))|greater(zero,growth_rate(first_movers,B)).
% 1.62/1.84 ** KEPT (pick-wt=26): 12 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -constant(number_of_organizations(A,B))|growth_rate(efficient_producers,B)=zero|greater(growth_rate(first_movers,B),zero)|greater(growth_rate(efficient_producers,B),zero).
% 1.62/1.84 ** KEPT (pick-wt=26): 13 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -constant(number_of_organizations(A,B))|growth_rate(efficient_producers,B)=zero|greater(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(first_movers,B)).
% 1.62/1.84 ** KEPT (pick-wt=26): 14 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -constant(number_of_organizations(A,B))|growth_rate(efficient_producers,B)=zero|greater(zero,growth_rate(efficient_producers,B))|greater(growth_rate(efficient_producers,B),zero).
% 1.62/1.84 ** KEPT (pick-wt=26): 15 [] -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -constant(number_of_organizations(A,B))|growth_rate(efficient_producers,B)=zero|greater(zero,growth_rate(efficient_producers,B))|greater(zero,growth_rate(first_movers,B)).
% 1.62/1.84 ** KEPT (pick-wt=10): 16 [] growth_rate(first_movers,$c1)!=zero|growth_rate(efficient_producers,$c1)!=zero.
% 1.62/1.84 ** KEPT (pick-wt=10): 17 [] -greater(growth_rate(first_movers,$c1),zero)| -greater(zero,growth_rate(efficient_producers,$c1)).
% 1.62/1.84 ** KEPT (pick-wt=10): 18 [] -greater(growth_rate(efficient_producers,$c1),zero)| -greater(zero,growth_rate(first_movers,$c1)).
% 1.62/1.84
% 1.62/1.84 ------------> process sos:
% 1.62/1.84 ** KEPT (pick-wt=3): 19 [] A=A.
% 1.62/1.84 ** KEPT (pick-wt=2): 20 [] environment($c2).
% 1.62/1.84 ** KEPT (pick-wt=5): 21 [] subpopulations(first_movers,efficient_producers,$c2,$c1).
% 1.62/1.84 ** KEPT (pick-wt=4): 22 [] greater_or_e_qual($c1,e_quilibrium($c2)).
% 1.62/1.84 Following clause subsumed by 19 during input processing: 0 [copy,19,flip.1] A=A.
% 1.62/1.84
% 1.62/1.84 ======= end of input processing =======
% 1.62/1.84
% 1.62/1.84 =========== start of search ===========
% 1.62/1.84
% 1.62/1.84 -------- PROOF --------
% 1.62/1.84
% 1.62/1.84 -----> EMPTY CLAUSE at 0.01 sec ----> 89 [hyper,87,77,86] $F.
% 1.62/1.84
% 1.62/1.84 Length of proof is 27. Level of proof is 15.
% 1.62/1.84
% 1.62/1.84 ---------------- PROOF ----------------
% 1.62/1.84 % SZS status Theorem
% 1.62/1.84 % SZS output start Refutation
% See solution above
% 1.62/1.84 ------------ end of proof -------------
% 1.62/1.84
% 1.62/1.84
% 1.62/1.84 Search stopped by max_proofs option.
% 1.62/1.84
% 1.62/1.84
% 1.62/1.84 Search stopped by max_proofs option.
% 1.62/1.84
% 1.62/1.84 ============ end of search ============
% 1.62/1.84
% 1.62/1.84 -------------- statistics -------------
% 1.62/1.84 clauses given 34
% 1.62/1.84 clauses generated 213
% 1.62/1.84 clauses kept 87
% 1.62/1.84 clauses forward subsumed 140
% 1.62/1.84 clauses back subsumed 39
% 1.62/1.84 Kbytes malloced 976
% 1.62/1.84
% 1.62/1.84 ----------- times (seconds) -----------
% 1.62/1.84 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.62/1.84 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.62/1.84 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.62/1.84
% 1.62/1.84 That finishes the proof of the theorem.
% 1.62/1.84
% 1.62/1.84 Process 20761 finished Wed Jul 27 04:21:08 2022
% 1.62/1.84 Otter interrupted
% 1.62/1.84 PROOF FOUND
%------------------------------------------------------------------------------