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 v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:06:08 EDT 2022
% Result : Theorem 5.05s 5.23s
% Output : Refutation 5.05s
% 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,dollar_f1(A,B)) ),
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,dollar_f1(A,B))) ),
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(dollar_f2(A,B),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(dollar_f2(A,B),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(dollar_f2(A,B),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,dollar_c1),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(dollar_c2),
file('MGT037+1.p',unknown),
[] ).
cnf(27,axiom,
in_environment(dollar_c2,dollar_c1),
file('MGT037+1.p',unknown),
[] ).
cnf(28,axiom,
greater_or_e_qual(dollar_c1,appear(efficient_producers,dollar_c2)),
file('MGT037+1.p',unknown),
[] ).
cnf(33,plain,
cardinality_at_time(efficient_producers,dollar_c1) = 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,dollar_f1(dollar_c2,dollar_c1))),
inference(hyper,[status(thm)],[33,4,26,28]),
[iquote('hyper,32,4,26,28')] ).
cnf(67,plain,
in_environment(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),
inference(hyper,[status(thm)],[33,2,26,28]),
[iquote('hyper,32,2,26,28')] ).
cnf(122,plain,
( greater_or_e_qual(dollar_f1(dollar_c2,dollar_c1),appear(an_organisation,dollar_c2))
| greater(appear(an_organisation,dollar_c2),dollar_f1(dollar_c2,dollar_c1)) ),
inference(hyper,[status(thm)],[67,15,26]),
[iquote('hyper,67,15,26')] ).
cnf(123,plain,
( cardinality_at_time(efficient_producers,dollar_f1(dollar_c2,dollar_c1)) = zero
| greater(cardinality_at_time(efficient_producers,dollar_f1(dollar_c2,dollar_c1)),zero) ),
inference(hyper,[status(thm)],[67,13,26]),
[iquote('hyper,67,13,26')] ).
cnf(124,plain,
subpopulation(efficient_producers,dollar_c2,dollar_f1(dollar_c2,dollar_c1)),
inference(hyper,[status(thm)],[67,11,26]),
[iquote('hyper,67,11,26')] ).
cnf(126,plain,
( decreases(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)))
| greater(cardinality_at_time(dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),dollar_f1(dollar_c2,dollar_c1)),zero) ),
inference(hyper,[status(thm)],[67,7,26]),
[iquote('hyper,67,7,26')] ).
cnf(127,plain,
( decreases(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)))
| subpopulation(dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),dollar_c2,dollar_f1(dollar_c2,dollar_c1)) ),
inference(hyper,[status(thm)],[67,6,26]),
[iquote('hyper,67,6,26')] ).
cnf(173,plain,
greater(zero,growth_rate(first_movers,dollar_f1(dollar_c2,dollar_c1))),
inference(hyper,[status(thm)],[65,21,26,67,25]),
[iquote('hyper,65,21,26,67,25')] ).
cnf(909,plain,
( greater(appear(an_organisation,dollar_c2),dollar_f1(dollar_c2,dollar_c1))
| greater(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),zero) ),
inference(hyper,[status(thm)],[122,18,26,67]),
[iquote('hyper,122,18,26,67')] ).
cnf(959,plain,
greater(cardinality_at_time(efficient_producers,dollar_f1(dollar_c2,dollar_c1)),zero),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[123,12]),24,65]),
[iquote('para_from,123.1.1,12.1.1,unit_del,24,65')] ).
cnf(1035,plain,
( ~ environment(A)
| ~ in_environment(A,dollar_f1(dollar_c2,dollar_c1))
| number_of_organizations(A,dollar_f1(dollar_c2,dollar_c1)) != zero
| ~ subpopulation(efficient_producers,A,dollar_f1(dollar_c2,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[959,9]),38]),
[iquote('para_into,959.1.1,9.5.1,unit_del,38')] ).
cnf(1888,plain,
( greater(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),zero)
| number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)) = zero ),
inference(hyper,[status(thm)],[909,5,26,67]),
[iquote('hyper,909,5,26,67')] ).
cnf(2012,plain,
( number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)) = zero
| greater(e_quilibrium(dollar_c2),dollar_f1(dollar_c2,dollar_c1))
| constant(resources(dollar_c2,dollar_f1(dollar_c2,dollar_c1))) ),
inference(hyper,[status(thm)],[1888,17,26,67]),
[iquote('hyper,1888,17,26,67')] ).
cnf(2437,plain,
( number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)) = zero
| greater(e_quilibrium(dollar_c2),dollar_f1(dollar_c2,dollar_c1))
| constant(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1))) ),
inference(hyper,[status(thm)],[2012,20,26,67]),
[iquote('hyper,2012,20,26,67')] ).
cnf(2453,plain,
( greater(e_quilibrium(dollar_c2),dollar_f1(dollar_c2,dollar_c1))
| constant(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1))) ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1035,2437]),26,67,24,124]),
[iquote('para_into,1035.3.1,2437.1.1,unit_del,26,67,24,124')] ).
cnf(2456,plain,
greater(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),zero),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1035,1888]),26,67,24,124]),
[iquote('para_into,1035.3.1,1888.2.1,unit_del,26,67,24,124')] ).
cnf(2458,plain,
( greater(e_quilibrium(dollar_c2),dollar_f1(dollar_c2,dollar_c1))
| subpopulation(dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),dollar_c2,dollar_f1(dollar_c2,dollar_c1)) ),
inference(hyper,[status(thm)],[2453,14,127]),
[iquote('hyper,2453,14,127')] ).
cnf(2459,plain,
( greater(e_quilibrium(dollar_c2),dollar_f1(dollar_c2,dollar_c1))
| greater(cardinality_at_time(dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),dollar_f1(dollar_c2,dollar_c1)),zero) ),
inference(hyper,[status(thm)],[2453,14,126]),
[iquote('hyper,2453,14,126')] ).
cnf(2460,plain,
( subpopulation(dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),dollar_c2,dollar_f1(dollar_c2,dollar_c1))
| decreases(resources(dollar_c2,dollar_f1(dollar_c2,dollar_c1))) ),
inference(hyper,[status(thm)],[2458,16,26,67,2456]),
[iquote('hyper,2458,16,26,67,2456')] ).
cnf(2461,plain,
subpopulation(dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),dollar_c2,dollar_f1(dollar_c2,dollar_c1)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2460,19,26,67,127])]),
[iquote('hyper,2460,19,26,67,127,factor_simp')] ).
cnf(2462,plain,
( greater(cardinality_at_time(dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),dollar_f1(dollar_c2,dollar_c1)),zero)
| decreases(resources(dollar_c2,dollar_f1(dollar_c2,dollar_c1))) ),
inference(hyper,[status(thm)],[2459,16,26,67,2456]),
[iquote('hyper,2459,16,26,67,2456')] ).
cnf(2464,plain,
greater(cardinality_at_time(dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)),dollar_f1(dollar_c2,dollar_c1)),zero),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2462,19,26,67,126])]),
[iquote('hyper,2462,19,26,67,126,factor_simp')] ).
cnf(2465,plain,
( dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)) = efficient_producers
| dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)) = first_movers ),
inference(hyper,[status(thm)],[2464,22,26,2461]),
[iquote('hyper,2464,22,26,2461')] ).
cnf(2466,plain,
( decreases(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1)))
| dollar_f2(dollar_c2,dollar_f1(dollar_c2,dollar_c1)) = first_movers ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2465,8]),26,67,65]),
[iquote('para_from,2465.1.1,8.4.2.1,unit_del,26,67,65')] ).
cnf(2471,plain,
decreases(number_of_organizations(dollar_c2,dollar_f1(dollar_c2,dollar_c1))),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2466,8]),26,67,173])]),
[iquote('para_from,2466.2.1,8.4.2.1,unit_del,26,67,173,factor_simp')] ).
cnf(2472,plain,
greater(e_quilibrium(dollar_c2),dollar_f1(dollar_c2,dollar_c1)),
inference(hyper,[status(thm)],[2471,14,2453]),
[iquote('hyper,2471,14,2453')] ).
cnf(2479,plain,
decreases(resources(dollar_c2,dollar_f1(dollar_c2,dollar_c1))),
inference(hyper,[status(thm)],[2472,16,26,67,2456]),
[iquote('hyper,2472,16,26,67,2456')] ).
cnf(2486,plain,
$false,
inference(hyper,[status(thm)],[2479,19,26,67,2471]),
[iquote('hyper,2479,19,26,67,2471')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MGT037+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n023.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 04:21:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.97/2.16 ----- Otter 3.3f, August 2004 -----
% 1.97/2.16 The process was started by sandbox on n023.cluster.edu,
% 1.97/2.16 Wed Jul 27 04:21:48 2022
% 1.97/2.16 The command was "./otter". The process ID is 7832.
% 1.97/2.16
% 1.97/2.16 set(prolog_style_variables).
% 1.97/2.16 set(auto).
% 1.97/2.16 dependent: set(auto1).
% 1.97/2.16 dependent: set(process_input).
% 1.97/2.16 dependent: clear(print_kept).
% 1.97/2.16 dependent: clear(print_new_demod).
% 1.97/2.16 dependent: clear(print_back_demod).
% 1.97/2.16 dependent: clear(print_back_sub).
% 1.97/2.16 dependent: set(control_memory).
% 1.97/2.16 dependent: assign(max_mem, 12000).
% 1.97/2.16 dependent: assign(pick_given_ratio, 4).
% 1.97/2.16 dependent: assign(stats_level, 1).
% 1.97/2.16 dependent: assign(max_seconds, 10800).
% 1.97/2.16 clear(print_given).
% 1.97/2.16
% 1.97/2.16 formula_list(usable).
% 1.97/2.16 all A (A=A).
% 1.97/2.16 all E T (environment(E)&greater_or_e_qual(T,appear(efficient_producers,E))&cardinality_at_time(efficient_producers,T)=zero-> (exists To (greater(To,appear(efficient_producers,E))&in_environment(E,To)&greater(T,To)&greater(zero,growth_rate(efficient_producers,To))))).
% 1.97/2.16 all E T (environment(E)&in_environment(E,T)&greater(appear(an_organisation,E),T)->number_of_organizations(E,T)=zero).
% 1.97/2.16 all E T (environment(E)&in_environment(E,T)& -decreases(number_of_organizations(E,T))-> (exists X (subpopulation(X,E,T)&greater(cardinality_at_time(X,T),zero)& -greater(zero,growth_rate(X,T))))).
% 1.97/2.16 all E T X (environment(E)&in_environment(E,T)&number_of_organizations(E,T)=zero&subpopulation(X,E,T)->cardinality_at_time(X,T)=zero).
% 1.97/2.16 all E T (environment(E)&in_environment(E,T)->subpopulation(first_movers,E,T)&subpopulation(efficient_producers,E,T)).
% 1.97/2.16 all S T (cardinality_at_time(S,T)=zero-> -greater(zero,growth_rate(S,T))).
% 1.97/2.16 all E T (environment(E)&in_environment(E,T)->cardinality_at_time(efficient_producers,T)=zero|greater(cardinality_at_time(efficient_producers,T),zero)).
% 1.97/2.16 all X (constant(X)-> -decreases(X)).
% 1.97/2.16 all E T (environment(E)&in_environment(E,T)->greater_or_e_qual(T,appear(an_organisation,E))|greater(appear(an_organisation,E),T)).
% 1.97/2.16 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)))).
% 1.97/2.16 all E T (environment(E)&in_environment(E,T)&greater_or_e_qual(T,appear(an_organisation,E))->greater(number_of_organizations(E,T),zero)).
% 1.97/2.16 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)))).
% 1.97/2.16 all E S1 S2 T (environment(E)&in_environment(E,T)& -greater(zero,growth_rate(S1,T))&greater(resilience(S2),resilience(S1))-> -greater(zero,growth_rate(S2,T))).
% 1.97/2.16 greater(resilience(efficient_producers),resilience(first_movers)).
% 1.97/2.16 all E X T (environment(E)&subpopulation(X,E,T)&greater(cardinality_at_time(X,T),zero)->X=efficient_producers|X=first_movers).
% 1.97/2.16 -(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))).
% 1.97/2.16 end_of_list.
% 1.97/2.16
% 1.97/2.16 -------> usable clausifies to:
% 1.97/2.16
% 1.97/2.16 list(usable).
% 1.97/2.16 0 [] A=A.
% 1.97/2.16 0 [] -environment(E)| -greater_or_e_qual(T,appear(efficient_producers,E))|cardinality_at_time(efficient_producers,T)!=zero|greater($f1(E,T),appear(efficient_producers,E)).
% 1.97/2.16 0 [] -environment(E)| -greater_or_e_qual(T,appear(efficient_producers,E))|cardinality_at_time(efficient_producers,T)!=zero|in_environment(E,$f1(E,T)).
% 1.97/2.16 0 [] -environment(E)| -greater_or_e_qual(T,appear(efficient_producers,E))|cardinality_at_time(efficient_producers,T)!=zero|greater(T,$f1(E,T)).
% 1.97/2.16 0 [] -environment(E)| -greater_or_e_qual(T,appear(efficient_producers,E))|cardinality_at_time(efficient_producers,T)!=zero|greater(zero,growth_rate(efficient_producers,$f1(E,T))).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)| -greater(appear(an_organisation,E),T)|number_of_organizations(E,T)=zero.
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|decreases(number_of_organizations(E,T))|subpopulation($f2(E,T),E,T).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|decreases(number_of_organizations(E,T))|greater(cardinality_at_time($f2(E,T),T),zero).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|decreases(number_of_organizations(E,T))| -greater(zero,growth_rate($f2(E,T),T)).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|number_of_organizations(E,T)!=zero| -subpopulation(X,E,T)|cardinality_at_time(X,T)=zero.
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|subpopulation(first_movers,E,T).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|subpopulation(efficient_producers,E,T).
% 1.97/2.16 0 [] cardinality_at_time(S,T)!=zero| -greater(zero,growth_rate(S,T)).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|cardinality_at_time(efficient_producers,T)=zero|greater(cardinality_at_time(efficient_producers,T),zero).
% 1.97/2.16 0 [] -constant(X)| -decreases(X).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|greater_or_e_qual(T,appear(an_organisation,E))|greater(appear(an_organisation,E),T).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)| -greater(number_of_organizations(E,T),zero)| -greater(e_quilibrium(E),T)|decreases(resources(E,T)).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)| -greater(number_of_organizations(E,T),zero)|greater(e_quilibrium(E),T)|constant(resources(E,T)).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)| -greater_or_e_qual(T,appear(an_organisation,E))|greater(number_of_organizations(E,T),zero).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)| -decreases(resources(E,T))| -decreases(number_of_organizations(E,T)).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)| -constant(resources(E,T))|constant(number_of_organizations(E,T)).
% 1.97/2.16 0 [] -environment(E)| -in_environment(E,T)|greater(zero,growth_rate(S1,T))| -greater(resilience(S2),resilience(S1))| -greater(zero,growth_rate(S2,T)).
% 1.97/2.16 0 [] greater(resilience(efficient_producers),resilience(first_movers)).
% 1.97/2.16 0 [] -environment(E)| -subpopulation(X,E,T)| -greater(cardinality_at_time(X,T),zero)|X=efficient_producers|X=first_movers.
% 1.97/2.16 0 [] environment($c2).
% 1.97/2.16 0 [] in_environment($c2,$c1).
% 1.97/2.16 0 [] greater_or_e_qual($c1,appear(efficient_producers,$c2)).
% 1.97/2.16 0 [] -greater(cardinality_at_time(efficient_producers,$c1),zero).
% 1.97/2.16 end_of_list.
% 1.97/2.16
% 1.97/2.16 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.97/2.16
% 1.97/2.16 This ia a non-Horn set with equality. The strategy will be
% 1.97/2.16 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.97/2.16 deletion, with positive clauses in sos and nonpositive
% 1.97/2.16 clauses in usable.
% 1.97/2.16
% 1.97/2.16 dependent: set(knuth_bendix).
% 1.97/2.16 dependent: set(anl_eq).
% 1.97/2.16 dependent: set(para_from).
% 1.97/2.16 dependent: set(para_into).
% 1.97/2.16 dependent: clear(para_from_right).
% 1.97/2.16 dependent: clear(para_into_right).
% 1.97/2.16 dependent: set(para_from_vars).
% 1.97/2.16 dependent: set(eq_units_both_ways).
% 1.97/2.16 dependent: set(dynamic_demod_all).
% 1.97/2.16 dependent: set(dynamic_demod).
% 1.97/2.16 dependent: set(order_eq).
% 1.97/2.16 dependent: set(back_demod).
% 1.97/2.16 dependent: set(lrpo).
% 1.97/2.16 dependent: set(hyper_res).
% 1.97/2.16 dependent: set(unit_deletion).
% 1.97/2.16 dependent: set(factor).
% 1.97/2.16
% 1.97/2.16 ------------> process usable:
% 1.97/2.16 ** KEPT (pick-wt=19): 1 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater($f1(A,B),appear(efficient_producers,A)).
% 1.97/2.16 ** KEPT (pick-wt=17): 2 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|in_environment(A,$f1(A,B)).
% 1.97/2.16 ** 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,$f1(A,B)).
% 1.97/2.16 ** KEPT (pick-wt=19): 4 [] -environment(A)| -greater_or_e_qual(B,appear(efficient_producers,A))|cardinality_at_time(efficient_producers,B)!=zero|greater(zero,growth_rate(efficient_producers,$f1(A,B))).
% 1.97/2.16 ** KEPT (pick-wt=15): 5 [] -environment(A)| -in_environment(A,B)| -greater(appear(an_organisation,A),B)|number_of_organizations(A,B)=zero.
% 1.97/2.16 ** KEPT (pick-wt=15): 6 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|subpopulation($f2(A,B),A,B).
% 1.97/2.16 ** KEPT (pick-wt=16): 7 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))|greater(cardinality_at_time($f2(A,B),B),zero).
% 1.97/2.16 ** KEPT (pick-wt=16): 8 [] -environment(A)| -in_environment(A,B)|decreases(number_of_organizations(A,B))| -greater(zero,growth_rate($f2(A,B),B)).
% 1.97/2.16 ** 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.
% 5.05/5.23 ** KEPT (pick-wt=9): 10 [] -environment(A)| -in_environment(A,B)|subpopulation(first_movers,A,B).
% 5.05/5.23 ** KEPT (pick-wt=9): 11 [] -environment(A)| -in_environment(A,B)|subpopulation(efficient_producers,A,B).
% 5.05/5.23 ** KEPT (pick-wt=10): 12 [] cardinality_at_time(A,B)!=zero| -greater(zero,growth_rate(A,B)).
% 5.05/5.23 ** 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).
% 5.05/5.23 ** KEPT (pick-wt=4): 14 [] -constant(A)| -decreases(A).
% 5.05/5.23 ** 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).
% 5.05/5.23 ** 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)).
% 5.05/5.23 ** 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)).
% 5.05/5.23 ** 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).
% 5.05/5.23 ** KEPT (pick-wt=13): 19 [] -environment(A)| -in_environment(A,B)| -decreases(resources(A,B))| -decreases(number_of_organizations(A,B)).
% 5.05/5.23 ** KEPT (pick-wt=13): 20 [] -environment(A)| -in_environment(A,B)| -constant(resources(A,B))|constant(number_of_organizations(A,B)).
% 5.05/5.23 ** 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)).
% 5.05/5.23 ** KEPT (pick-wt=17): 22 [] -environment(A)| -subpopulation(B,A,C)| -greater(cardinality_at_time(B,C),zero)|B=efficient_producers|B=first_movers.
% 5.05/5.23 ** KEPT (pick-wt=5): 23 [] -greater(cardinality_at_time(efficient_producers,$c1),zero).
% 5.05/5.23
% 5.05/5.23 ------------> process sos:
% 5.05/5.23 ** KEPT (pick-wt=3): 24 [] A=A.
% 5.05/5.23 ** KEPT (pick-wt=5): 25 [] greater(resilience(efficient_producers),resilience(first_movers)).
% 5.05/5.23 ** KEPT (pick-wt=2): 26 [] environment($c2).
% 5.05/5.23 ** KEPT (pick-wt=3): 27 [] in_environment($c2,$c1).
% 5.05/5.23 ** KEPT (pick-wt=5): 28 [] greater_or_e_qual($c1,appear(efficient_producers,$c2)).
% 5.05/5.23 Following clause subsumed by 24 during input processing: 0 [copy,24,flip.1] A=A.
% 5.05/5.23
% 5.05/5.23 ======= end of input processing =======
% 5.05/5.23
% 5.05/5.23 =========== start of search ===========
% 5.05/5.23
% 5.05/5.23
% 5.05/5.23 Resetting weight limit to 20.
% 5.05/5.23
% 5.05/5.23
% 5.05/5.23 Resetting weight limit to 20.
% 5.05/5.23
% 5.05/5.23 sos_size=2187
% 5.05/5.23
% 5.05/5.23 -------- PROOF --------
% 5.05/5.23
% 5.05/5.23 -----> EMPTY CLAUSE at 3.07 sec ----> 2486 [hyper,2479,19,26,67,2471] $F.
% 5.05/5.23
% 5.05/5.23 Length of proof is 29. Level of proof is 16.
% 5.05/5.23
% 5.05/5.23 ---------------- PROOF ----------------
% 5.05/5.23 % SZS status Theorem
% 5.05/5.23 % SZS output start Refutation
% See solution above
% 5.05/5.23 ------------ end of proof -------------
% 5.05/5.23
% 5.05/5.23
% 5.05/5.23 Search stopped by max_proofs option.
% 5.05/5.23
% 5.05/5.23
% 5.05/5.23 Search stopped by max_proofs option.
% 5.05/5.23
% 5.05/5.23 ============ end of search ============
% 5.05/5.23
% 5.05/5.23 -------------- statistics -------------
% 5.05/5.23 clauses given 290
% 5.05/5.23 clauses generated 25419
% 5.05/5.23 clauses kept 2484
% 5.05/5.23 clauses forward subsumed 1615
% 5.05/5.23 clauses back subsumed 248
% 5.05/5.23 Kbytes malloced 4882
% 5.05/5.23
% 5.05/5.23 ----------- times (seconds) -----------
% 5.05/5.23 user CPU time 3.07 (0 hr, 0 min, 3 sec)
% 5.05/5.23 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 5.05/5.23 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 5.05/5.23
% 5.05/5.23 That finishes the proof of the theorem.
% 5.05/5.23
% 5.05/5.23 Process 7832 finished Wed Jul 27 04:21:53 2022
% 5.05/5.23 Otter interrupted
% 5.05/5.23 PROOF FOUND
%------------------------------------------------------------------------------