TSTP Solution File: MGT035-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : MGT035-2 : 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 22:22:58 EDT 2022

% Result   : Timeout 300.01s 300.31s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT035-2 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 10:34:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.00  ============================== Prover9 ===============================
% 0.44/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.00  Process 5238 was started by sandbox2 on n022.cluster.edu,
% 0.44/1.00  Thu Jun  9 10:34:35 2022
% 0.44/1.00  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5085_n022.cluster.edu".
% 0.44/1.00  ============================== end of head ===========================
% 0.44/1.00  
% 0.44/1.00  ============================== INPUT =================================
% 0.44/1.00  
% 0.44/1.00  % Reading from file /tmp/Prover9_5085_n022.cluster.edu
% 0.44/1.00  
% 0.44/1.00  set(prolog_style_variables).
% 0.44/1.00  set(auto2).
% 0.44/1.00      % set(auto2) -> set(auto).
% 0.44/1.00      % set(auto) -> set(auto_inference).
% 0.44/1.00      % set(auto) -> set(auto_setup).
% 0.44/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.44/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.00      % set(auto) -> set(auto_limits).
% 0.44/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.00      % set(auto) -> set(auto_denials).
% 0.44/1.00      % set(auto) -> set(auto_process).
% 0.44/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.44/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.44/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.44/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.44/1.00      % set(auto2) -> assign(stats, some).
% 0.44/1.00      % set(auto2) -> clear(echo_input).
% 0.44/1.00      % set(auto2) -> set(quiet).
% 0.44/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.00      % set(auto2) -> clear(print_given).
% 0.44/1.00  assign(lrs_ticks,-1).
% 0.44/1.00  assign(sos_limit,10000).
% 0.44/1.00  assign(order,kbo).
% 0.44/1.00  set(lex_order_vars).
% 0.44/1.00  clear(print_given).
% 0.44/1.00  
% 0.44/1.00  % formulas(sos).  % not echoed (45 formulas)
% 0.44/1.00  
% 0.44/1.00  ============================== end of input ==========================
% 0.44/1.00  
% 0.44/1.00  % From the command line: assign(max_seconds, 300).
% 0.44/1.00  
% 0.44/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.00  
% 0.44/1.00  % Formulas that are not ordinary clauses:
% 0.44/1.00  
% 0.44/1.00  ============================== end of process non-clausal formulas ===
% 0.44/1.00  
% 0.44/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.00  
% 0.44/1.00  ============================== PREDICATE ELIMINATION =================
% 0.44/1.00  1 -environment(A) | -greater_or_equal(B,equilibrium(A)) | -greater(equilibrium(A),B) # label(mp_equilibrium_63) # label(axiom).  [assumption].
% 0.44/1.00  2 environment(sk3) # label(prove_t4_76) # label(negated_conjecture).  [assumption].
% 0.44/1.00  Derived: -greater_or_equal(A,equilibrium(sk3)) | -greater(equilibrium(sk3),A).  [resolve(1,a,2,a)].
% 0.44/1.00  3 -environment(A) | -in_environment(A,B) | -decreases(resources(A,B)) | -decreases(number_of_organizations(A,B)) # label(a7_71) # label(hypothesis).  [assumption].
% 0.44/1.00  Derived: -in_environment(sk3,A) | -decreases(resources(sk3,A)) | -decreases(number_of_organizations(sk3,A)).  [resolve(3,a,2,a)].
% 0.44/1.00  4 -environment(A) | -stable(A) | in_environment(A,sk1(A)) # label(a5_69) # label(hypothesis).  [assumption].
% 0.44/1.00  Derived: -stable(sk3) | in_environment(sk3,sk1(sk3)).  [resolve(4,a,2,a)].
% 0.44/1.00  5 -environment(A) | -stable(A) | in_environment(A,sk2(A)) # label(l1_74) # label(hypothesis).  [assumption].
% 0.44/1.00  Derived: -stable(sk3) | in_environment(sk3,sk2(sk3)).  [resolve(5,a,2,a)].
% 0.44/1.00  6 -environment(A) | -in_environment(A,B) | subpopulation(first_movers,A,B) # label(mp_FM_and_EP_organisational_41) # label(axiom).  [assumption].
% 0.44/1.00  Derived: -in_environment(sk3,A) | subpopulation(first_movers,sk3,A).  [resolve(6,a,2,a)].
% 0.44/1.00  7 -environment(A) | -in_environment(A,B) | subpopulation(efficient_producers,A,B) # label(mp_FM_and_EP_organisational_42) # label(axiom).  [assumption].
% 0.44/1.00  Derived: -in_environment(sk3,A) | subpopulation(efficient_producers,sk3,A).  [resolve(7,a,2,a)].
% 0.44/1.00  8 -environment(A) | -stable(A) | greater_or_equal(sk1(A),equilibrium(A)) # label(a5_70) # label(hypothesis).  [assumption].
% 0.44/1.00  Derived: -stable(sk3) | greater_or_equal(sk1(sk3),equilibrium(sk3)).  [resolve(8,a,2,a)].
% 0.44/1.00  9 -environment(A) | -subpopulations(first_movers,efficient_producers,A,B) | in_environment(A,B) # label(mp_time_point_in_environment_36) # label(axiom).  [assumption].
% 0.44/1.01  Derived: -subpopulations(first_movers,efficient_producers,sk3,A) | in_environment(sk3,A).  [resolve(9,a,2,a)].
% 0.44/1.01  10 -environment(A) | -subpopulations(first_movers,efficient_producers,A,B) | greater(number_of_organizations(A,B),zero) # label(mp_environment_not_empty_37) # label(axiom).  [assumption].
% 0.44/1.01  Derived: -subpopulations(first_movers,efficient_producers,sk3,A) | greater(number_of_organizations(sk3,A),zero).  [resolve(10,a,2,a)].
% 0.44/1.01  11 -environment(A) | -subpopulations(first_movers,efficient_producers,A,B) | greater(cardinality_at_time(first_movers,B),zero) # label(mp_positive_number_of_organizations_54) # label(axiom).  [assumption].
% 0.44/1.01  Derived: -subpopulations(first_movers,efficient_producers,sk3,A) | greater(cardinality_at_time(first_movers,A),zero).  [resolve(11,a,2,a)].
% 0.44/1.01  12 -environment(A) | -subpopulations(first_movers,efficient_producers,A,B) | greater(cardinality_at_time(efficient_producers,B),zero) # label(mp_positive_number_of_organizations_55) # label(axiom).  [assumption].
% 0.44/1.01  Derived: -subpopulations(first_movers,efficient_producers,sk3,A) | greater(cardinality_at_time(efficient_producers,A),zero).  [resolve(12,a,2,a)].
% 0.44/1.01  13 -environment(A) | -in_environment(A,B) | -constant(resources(A,B)) | constant(number_of_organizations(A,B)) # label(a7_72) # label(hypothesis).  [assumption].
% 0.44/1.01  Derived: -in_environment(sk3,A) | -constant(resources(sk3,A)) | constant(number_of_organizations(sk3,A)).  [resolve(13,a,2,a)].
% 0.44/1.01  14 -environment(A) | -subpopulations(B,C,A,D) | -outcompetes(C,B,D) | greater_or_equal(growth_rate(C,D),zero) # label(d2_65) # label(hypothesis).  [assumption].
% 0.44/1.01  Derived: -subpopulations(A,B,sk3,C) | -outcompetes(B,A,C) | greater_or_equal(growth_rate(B,C),zero).  [resolve(14,a,2,a)].
% 0.44/1.01  15 -environment(A) | -subpopulations(B,C,A,D) | -outcompetes(C,B,D) | greater(zero,growth_rate(B,D)) # label(d2_66) # label(hypothesis).  [assumption].
% 0.44/1.01  Derived: -subpopulations(A,B,sk3,C) | -outcompetes(B,A,C) | greater(zero,growth_rate(A,C)).  [resolve(15,a,2,a)].
% 0.44/1.01  16 -environment(A) | -subpopulation(B,A,C) | -greater(cardinality_at_time(B,C),zero) | B = efficient_producers | B = first_movers # label(a11_73) # label(hypothesis).  [assumption].
% 0.44/1.01  Derived: -subpopulation(A,sk3,B) | -greater(cardinality_at_time(A,B),zero) | A = efficient_producers | A = first_movers.  [resolve(16,a,2,a)].
% 0.44/1.01  17 -environment(A) | -in_environment(A,B) | -greater(number_of_organizations(A,B),zero) | -greater(equilibrium(A),B) | decreases(resources(A,B)) # label(a4_67) # label(hypothesis).  [assumption].
% 0.44/1.01  Derived: -in_environment(sk3,A) | -greater(number_of_organizations(sk3,A),zero) | -greater(equilibrium(sk3),A) | decreases(resources(sk3,A)).  [resolve(17,a,2,a)].
% 0.44/1.01  18 -environment(A) | -in_environment(A,B) | -greater(number_of_organizations(A,B),zero) | greater(equilibrium(A),B) | constant(resources(A,B)) # label(a4_68) # label(hypothesis).  [assumption].
% 0.44/1.01  Derived: -in_environment(sk3,A) | -greater(number_of_organizations(sk3,A),zero) | greater(equilibrium(sk3),A) | constant(resources(sk3,A)).  [resolve(18,a,2,a)].
% 0.44/1.01  19 -environment(A) | -subpopulation(B,A,C) | B != efficient_producers | number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) # label(mp_only_members_39) # label(axiom).  [assumption].
% 0.44/1.01  Derived: -subpopulation(A,sk3,B) | A != efficient_producers | number_of_organizations(sk3,B) = sum(cardinality_at_time(first_movers,B),cardinality_at_time(efficient_producers,B)).  [resolve(19,a,2,a)].
% 0.44/1.01  20 -environment(A) | -subpopulation(B,A,C) | B != first_movers | number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) # label(mp_only_members_40) # label(axiom).  [assumption].
% 0.44/1.01  Derived: -subpopulation(A,sk3,B) | A != first_movers | number_of_organizations(sk3,B) = sum(cardinality_at_time(first_movers,B),cardinality_at_time(efficient_producers,B)).  [resolve(20,a,2,a)].
% 0.44/1.01  21 -environment(A) | -stable(A) | -subpopulations(first_movers,efficient_producers,A,B) | -greater_or_equal(B,sk2(A)) | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) # label(l1_75) # label(hypothesis).  [assumption].
% 24.89/25.16  Derived: -stable(sk3) | -subpopulations(first_movers,efficient_producers,sk3,A) | -greater_or_equal(A,sk2(sk3)) | greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)).  [resolve(21,a,2,a)].
% 24.89/25.16  22 -environment(A) | -subpopulations(B,C,A,D) | -greater_or_equal(growth_rate(C,D),zero) | -greater(zero,growth_rate(B,D)) | outcompetes(C,B,D) # label(d2_64) # label(hypothesis).  [assumption].
% 24.89/25.16  Derived: -subpopulations(A,B,sk3,C) | -greater_or_equal(growth_rate(B,C),zero) | -greater(zero,growth_rate(A,C)) | outcompetes(B,A,C).  [resolve(22,a,2,a)].
% 24.89/25.16  23 -environment(A) | -subpopulation(B,A,C) | greater(cardinality_at_time(B,C),zero) | number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) # label(mp_only_members_38) # label(axiom).  [assumption].
% 24.89/25.16  Derived: -subpopulation(A,sk3,B) | greater(cardinality_at_time(A,B),zero) | number_of_organizations(sk3,B) = sum(cardinality_at_time(first_movers,B),cardinality_at_time(efficient_producers,B)).  [resolve(23,a,2,a)].
% 24.89/25.16  24 -environment(A) | -in_environment(A,B) | -subpopulation(C,A,B) | -greater(cardinality_at_time(C,B),zero) | -constant(cardinality_at_time(C,B)) | growth_rate(C,B) = zero # label(mp_growth_rate_51) # label(axiom).  [assumption].
% 24.89/25.16  Derived: -in_environment(sk3,A) | -subpopulation(B,sk3,A) | -greater(cardinality_at_time(B,A),zero) | -constant(cardinality_at_time(B,A)) | growth_rate(B,A) = zero.  [resolve(24,a,2,a)].
% 24.89/25.16  25 -environment(A) | -in_environment(A,B) | -subpopulation(C,A,B) | -greater(cardinality_at_time(C,B),zero) | -increases(cardinality_at_time(C,B)) | greater(growth_rate(C,B),zero) # label(mp_growth_rate_52) # label(axiom).  [assumption].
% 24.89/25.16  Derived: -in_environment(sk3,A) | -subpopulation(B,sk3,A) | -greater(cardinality_at_time(B,A),zero) | -increases(cardinality_at_time(B,A)) | greater(growth_rate(B,A),zero).  [resolve(25,a,2,a)].
% 24.89/25.16  26 -environment(A) | -in_environment(A,B) | -subpopulation(C,A,B) | -greater(cardinality_at_time(C,B),zero) | -decreases(cardinality_at_time(C,B)) | greater(zero,growth_rate(C,B)) # label(mp_growth_rate_53) # label(axiom).  [assumption].
% 24.89/25.16  Derived: -in_environment(sk3,A) | -subpopulation(B,sk3,A) | -greater(cardinality_at_time(B,A),zero) | -decreases(cardinality_at_time(B,A)) | greater(zero,growth_rate(B,A)).  [resolve(26,a,2,a)].
% 24.89/25.16  
% 24.89/25.16  ============================== end predicate elimination =============
% 24.89/25.16  
% 24.89/25.16  Auto_denials:  (non-Horn, no changes).
% 24.89/25.16  
% 24.89/25.16  Term ordering decisions:
% 24.89/25.16  Function symbol KB weights:  sk3=1. zero=1. efficient_producers=1. first_movers=1. cardinality_at_time=1. sum=1. growth_rate=1. number_of_organizations=1. resources=1. equilibrium=1. sk1=1. sk2=1. sk4=1.
% 24.89/25.16  
% 24.89/25.16  ============================== end of process initial clauses ========
% 24.89/25.16  
% 24.89/25.16  ============================== CLAUSES FOR SEARCH ====================
% 24.89/25.16  
% 24.89/25.16  ============================== end of clauses for search =============
% 24.89/25.16  
% 24.89/25.16  ============================== SEARCH ================================
% 24.89/25.16  
% 24.89/25.16  % Starting search at 0.02 seconds.
% 24.89/25.16  
% 24.89/25.16  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 50 (0.00 of 0.12 sec).
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=104.000, iters=3745
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=80.000, iters=3529
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=77.000, iters=3480
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=75.000, iters=3904
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=72.000, iters=3834
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=69.000, iters=3739
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=66.000, iters=3625
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=63.000, iters=3506
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=57.000, iters=3594
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=54.000, iters=3917
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=52.000, iters=3649
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=51.000, iters=3495
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=50.000, iters=3447
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=49.000, iters=3479
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=48.000, iters=3541
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=47.000, iters=3507
% 24.89/25.16  
% 24.89/25.16  Low Water (keep): wt=46.000, iters=3665
% 24.89/25.16  
% 24.89/25.16  Low Water (displace): id=7857, wt=120.000
% 24.89/25.16  
% 24.89/25.16  Low Water (displace): id=7859, wt=117.000
% 24.89/25.16  
% 24.89/25.16  Low Water (displace): id=7861, wt=114.000
% 24.89/25.16  
% 24.89/25.16  Low Water (displace): id=7863, Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------