TSTP Solution File: MGT037-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : MGT037-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n022.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  : 600s
% DateTime : Sun Jul 17 22:23:00 EDT 2022

% Result   : Unknown 0.78s 1.09s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT037-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 07:49:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.78/1.08  ============================== Prover9 ===============================
% 0.78/1.08  Prover9 (32) version 2009-11A, November 2009.
% 0.78/1.08  Process 14129 was started by sandbox2 on n022.cluster.edu,
% 0.78/1.08  Thu Jun  9 07:49:50 2022
% 0.78/1.08  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13975_n022.cluster.edu".
% 0.78/1.08  ============================== end of head ===========================
% 0.78/1.08  
% 0.78/1.08  ============================== INPUT =================================
% 0.78/1.08  
% 0.78/1.08  % Reading from file /tmp/Prover9_13975_n022.cluster.edu
% 0.78/1.08  
% 0.78/1.08  set(prolog_style_variables).
% 0.78/1.08  set(auto2).
% 0.78/1.08      % set(auto2) -> set(auto).
% 0.78/1.08      % set(auto) -> set(auto_inference).
% 0.78/1.08      % set(auto) -> set(auto_setup).
% 0.78/1.08      % set(auto_setup) -> set(predicate_elim).
% 0.78/1.08      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.78/1.08      % set(auto) -> set(auto_limits).
% 0.78/1.08      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.78/1.08      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.78/1.08      % set(auto) -> set(auto_denials).
% 0.78/1.08      % set(auto) -> set(auto_process).
% 0.78/1.08      % set(auto2) -> assign(new_constants, 1).
% 0.78/1.08      % set(auto2) -> assign(fold_denial_max, 3).
% 0.78/1.08      % set(auto2) -> assign(max_weight, "200.000").
% 0.78/1.08      % set(auto2) -> assign(max_hours, 1).
% 0.78/1.08      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.78/1.08      % set(auto2) -> assign(max_seconds, 0).
% 0.78/1.08      % set(auto2) -> assign(max_minutes, 5).
% 0.78/1.08      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.78/1.08      % set(auto2) -> set(sort_initial_sos).
% 0.78/1.08      % set(auto2) -> assign(sos_limit, -1).
% 0.78/1.08      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.78/1.08      % set(auto2) -> assign(max_megs, 400).
% 0.78/1.08      % set(auto2) -> assign(stats, some).
% 0.78/1.08      % set(auto2) -> clear(echo_input).
% 0.78/1.08      % set(auto2) -> set(quiet).
% 0.78/1.08      % set(auto2) -> clear(print_initial_clauses).
% 0.78/1.08      % set(auto2) -> clear(print_given).
% 0.78/1.08  assign(lrs_ticks,-1).
% 0.78/1.08  assign(sos_limit,10000).
% 0.78/1.08  assign(order,kbo).
% 0.78/1.08  set(lex_order_vars).
% 0.78/1.08  clear(print_given).
% 0.78/1.08  
% 0.78/1.08  % formulas(sos).  % not echoed (27 formulas)
% 0.78/1.08  
% 0.78/1.08  ============================== end of input ==========================
% 0.78/1.08  
% 0.78/1.08  % From the command line: assign(max_seconds, 300).
% 0.78/1.08  
% 0.78/1.08  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.78/1.08  
% 0.78/1.08  % Formulas that are not ordinary clauses:
% 0.78/1.08  
% 0.78/1.08  ============================== end of process non-clausal formulas ===
% 0.78/1.08  
% 0.78/1.08  ============================== PROCESS INITIAL CLAUSES ===============
% 0.78/1.08  
% 0.78/1.08  ============================== PREDICATE ELIMINATION =================
% 0.78/1.08  1 -environment(A) | -in_environment(A,B) | -decreases(resources(A,B)) | -decreases(number_of_organizations(A,B)) # label(a7_47) # label(hypothesis).  [assumption].
% 0.78/1.08  2 environment(sk3) # label(prove_t6_51) # label(negated_conjecture).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | -decreases(resources(sk3,A)) | -decreases(number_of_organizations(sk3,A)).  [resolve(1,a,2,a)].
% 0.78/1.08  3 -environment(A) | -in_environment(A,B) | subpopulation(first_movers,A,B) # label(mp_subpopulations_37) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | subpopulation(first_movers,sk3,A).  [resolve(3,a,2,a)].
% 0.78/1.08  4 -environment(A) | -in_environment(A,B) | subpopulation(efficient_producers,A,B) # label(mp_subpopulations_38) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | subpopulation(efficient_producers,sk3,A).  [resolve(4,a,2,a)].
% 0.78/1.08  5 -environment(A) | -in_environment(A,B) | -constant(resources(A,B)) | constant(number_of_organizations(A,B)) # label(a7_48) # label(hypothesis).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | -constant(resources(sk3,A)) | constant(number_of_organizations(sk3,A)).  [resolve(5,a,2,a)].
% 0.78/1.08  6 -environment(A) | -in_environment(A,B) | -greater(appear(an_organisation,A),B) | number_of_organizations(A,B) = zero # label(mp_start_of_organizations_32) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | -greater(appear(an_organisation,sk3),A) | number_of_organizations(sk3,A) = zero.  [resolve(6,a,2,a)].
% 0.78/1.08  7 -environment(A) | -in_environment(A,B) | decreases(number_of_organizations(A,B)) | subpopulation(sk2(B,A),A,B) # label(mp_non_decreasing_33) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | decreases(number_of_organizations(sk3,A)) | subpopulation(sk2(A,sk3),sk3,A).  [resolve(7,a,2,a)].
% 0.78/1.08  8 -environment(A) | -in_environment(A,B) | cardinality_at_time(efficient_producers,B) = zero | greater(cardinality_at_time(efficient_producers,B),zero) # label(mp_efficient_producers_exist_40) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | cardinality_at_time(efficient_producers,A) = zero | greater(cardinality_at_time(efficient_producers,A),zero).  [resolve(8,a,2,a)].
% 0.78/1.08  9 -environment(A) | -in_environment(A,B) | -greater_or_equal(B,appear(an_organisation,A)) | greater(appear(an_organisation,A),B) # label(mp_environment_inequality_42) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | -greater_or_equal(A,appear(an_organisation,sk3)) | greater(appear(an_organisation,sk3),A).  [resolve(9,a,2,a)].
% 0.78/1.08  10 -environment(A) | -in_environment(A,B) | -greater_or_equal(B,appear(an_organisation,A)) | greater(number_of_organizations(A,B),zero) # label(a1_43) # label(hypothesis).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | -greater_or_equal(A,appear(an_organisation,sk3)) | greater(number_of_organizations(sk3,A),zero).  [resolve(10,a,2,a)].
% 0.78/1.08  11 -environment(A) | -in_environment(A,B) | decreases(number_of_organizations(A,B)) | greater(cardinality_at_time(sk2(B,A),B),zero) # label(mp_non_decreasing_34) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | decreases(number_of_organizations(sk3,A)) | greater(cardinality_at_time(sk2(A,sk3),A),zero).  [resolve(11,a,2,a)].
% 0.78/1.08  12 -environment(A) | -in_environment(A,B) | decreases(number_of_organizations(A,B)) | -greater(zero,growth_rate(sk2(B,A),B)) # label(mp_non_decreasing_35) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | decreases(number_of_organizations(sk3,A)) | -greater(zero,growth_rate(sk2(A,sk3),A)).  [resolve(12,a,2,a)].
% 0.78/1.08  13 -environment(A) | -greater_or_equal(B,appear(efficient_producers,A)) | cardinality_at_time(efficient_producers,B) != zero | in_environment(A,sk1(B,A)) # label(mp_previous_negative_growth_29) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -greater_or_equal(A,appear(efficient_producers,sk3)) | cardinality_at_time(efficient_producers,A) != zero | in_environment(sk3,sk1(A,sk3)).  [resolve(13,a,2,a)].
% 0.78/1.08  14 -environment(A) | -greater_or_equal(B,appear(efficient_producers,A)) | cardinality_at_time(efficient_producers,B) != zero | greater(B,sk1(B,A)) # label(mp_previous_negative_growth_30) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -greater_or_equal(A,appear(efficient_producers,sk3)) | cardinality_at_time(efficient_producers,A) != zero | greater(A,sk1(A,sk3)).  [resolve(14,a,2,a)].
% 0.78/1.08  15 -environment(A) | -subpopulation(B,A,C) | -greater(cardinality_at_time(B,C),zero) | B = efficient_producers | B = first_movers # label(a11_49) # label(hypothesis).  [assumption].
% 0.78/1.08  Derived: -subpopulation(A,sk3,B) | -greater(cardinality_at_time(A,B),zero) | A = efficient_producers | A = first_movers.  [resolve(15,a,2,a)].
% 0.78/1.08  16 -environment(A) | -in_environment(A,B) | -greater(number_of_organizations(A,B),zero) | -greater(equilibrium(A),B) | decreases(resources(A,B)) # label(a4_45) # label(hypothesis).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | -greater(number_of_organizations(sk3,A),zero) | -greater(equilibrium(sk3),A) | decreases(resources(sk3,A)).  [resolve(16,a,2,a)].
% 0.78/1.08  17 -environment(A) | -in_environment(A,B) | -greater(number_of_organizations(A,B),zero) | greater(equilibrium(A),B) | constant(resources(A,B)) # label(a4_46) # label(hypothesis).  [assumption].
% 0.78/1.08  Derived: -in_environment(sk3,A) | -greater(number_of_organizations(sk3,A),zero) | greater(equilibrium(sk3),A) | constant(resources(sk3,A)).  [resolve(17,a,2,a)].
% 0.78/1.08  18 -environment(A) | -greater_or_equal(B,appear(efficient_producers,A)) | cardinality_at_time(efficient_producers,B) != zero | greater(sk1(B,A),appear(efficient_producers,A)) # label(mp_previous_negative_growth_28) # label(axiom).  [assumption].
% 0.78/1.08  Derived: -greater_or_equal(A,appear(efficient_producers,sk3)) | cardinality_at_time(efficient_producers,A) != zero | greater(sk1(A,sk3),appear(efficient_producers,sk3)).  [resolve(18,a,2,a)].
% 0.78/1.08  19 -environment(A) | -greater_or_equal(B,appear(efficient_producers,A)) | cardinality_at_time(efficient_producers,B) != zero | greater(zero,growth_rate(efficient_producers,sk1(B,A))) # label(mp_previous_negative_growth_31) # label(axiom).  [assumption].
% 0.78/1.09  Derived: -greater_or_equal(A,appear(efficient_producers,sk3)) | cardinality_at_time(efficient_producers,A) != zero | greater(zero,growth_rate(efficient_producers,sk1(A,sk3))).  [resolve(19,a,2,a)].
% 0.78/1.09  20 -environment(A) | -in_environment(A,B) | number_of_organizations(A,B) != zero | -subpopulation(C,A,B) | cardinality_at_time(C,B) = zero # label(mp_no_members_36) # label(axiom).  [assumption].
% 0.78/1.09  Derived: -in_environment(sk3,A) | number_of_organizations(sk3,A) != zero | -subpopulation(B,sk3,A) | cardinality_at_time(B,A) = zero.  [resolve(20,a,2,a)].
% 0.78/1.09  21 -environment(A) | -in_environment(A,B) | greater(zero,growth_rate(C,B)) | -greater(resilience(D),resilience(C)) | -greater(zero,growth_rate(D,B)) # label(a13_50) # label(hypothesis).  [assumption].
% 0.78/1.09  Derived: -in_environment(sk3,A) | greater(zero,growth_rate(B,A)) | -greater(resilience(C),resilience(B)) | -greater(zero,growth_rate(C,A)).  [resolve(21,a,2,a)].
% 0.78/1.09  
% 0.78/1.09  ============================== end predicate elimination =============
% 0.78/1.09  
% 0.78/1.09  Auto_denials:  (non-Horn, no changes).
% 0.78/1.09  
% 0.78/1.09  Term ordering decisions:
% 0.78/1.09  Function symbol KB weights:  sk3=1. zero=1. efficient_producers=1. an_organisation=1. first_movers=1. sk4=1. appear=1. cardinality_at_time=1. number_of_organizations=1. growth_rate=1. sk1=1. resources=1. sk2=1. resilience=1. equilibrium=1.
% 0.78/1.09  
% 0.78/1.09  ============================== end of process initial clauses ========
% 0.78/1.09  
% 0.78/1.09  ============================== CLAUSES FOR SEARCH ====================
% 0.78/1.09  
% 0.78/1.09  ============================== end of clauses for search =============
% 0.78/1.09  
% 0.78/1.09  ============================== SEARCH ================================
% 0.78/1.09  
% 0.78/1.09  % Starting search at 0.01 seconds.
% 0.78/1.09  
% 0.78/1.09  ============================== STATISTICS ============================
% 0.78/1.09  
% 0.78/1.09  Given=69. Generated=87. Kept=73. proofs=0.
% 0.78/1.09  Usable=66. Sos=0. Demods=1. Limbo=0, Disabled=54. Hints=0.
% 0.78/1.09  Megabytes=0.15.
% 0.78/1.09  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.78/1.09  
% 0.78/1.09  ============================== end of statistics =====================
% 0.78/1.09  
% 0.78/1.09  ============================== end of search =========================
% 0.78/1.09  
% 0.78/1.09  SEARCH FAILED
% 0.78/1.09  
% 0.78/1.09  Exiting with failure.
% 0.78/1.09  
% 0.78/1.09  Process 14129 exit (sos_empty) Thu Jun  9 07:49:50 2022
% 0.78/1.09  Prover9 interrupted
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