TSTP Solution File: MGT038+2 by Mace4---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : MGT038+2 : TPTP v6.4.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n131.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 8 09:58:59 EST 2017
% Result : CounterSatisfiable 0.07s
% Output : FiniteModel 0.07s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT038+2 : TPTP v6.4.0. Released v2.0.0.
% 0.03/0.04 % Command : mace4 -t %d -f %s
% 0.03/0.23 % Computer : n131.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Tue Feb 7 19:47:15 CST 2017
% 0.03/0.23 % CPUTime :
% 0.07/0.46 % SZS status CounterSatisfiable
% 0.07/0.46 ============================== Mace4 =================================
% 0.07/0.46 Mace4 (32) version 2009-11A, November 2009.
% 0.07/0.46 Process 51771 was started by sandbox2 on n131.star.cs.uiowa.edu,
% 0.07/0.46 Tue Feb 7 19:47:16 2017
% 0.07/0.46 The command was "/export/starexec/sandbox2/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_51654_n131.star.cs.uiowa.edu".
% 0.07/0.46 ============================== end of head ===========================
% 0.07/0.46
% 0.07/0.46 ============================== INPUT =================================
% 0.07/0.46
% 0.07/0.46 % Reading from file /tmp/Mace4_input_51654_n131.star.cs.uiowa.edu
% 0.07/0.46
% 0.07/0.46 set(prolog_style_variables).
% 0.07/0.46 set(print_models_tabular).
% 0.07/0.46 % set(print_models_tabular) -> clear(print_models).
% 0.07/0.46
% 0.07/0.46 formulas(sos).
% 0.07/0.46 finite_set(first_movers) # label(mp7_first_movers_exist) # label(axiom).
% 0.07/0.46 (all S all To (finite_set(S) & contracts_from(To,S) -> (exists T2 (greater(T2,To) & cardinality_at_time(s,t2) = zero)))) # label(mp_contracting_time) # label(axiom).
% 0.07/0.46 (all E all To (environment(E) & stable(E) & in_environment(E,To) & (all T (greater(cardinality_at_time(first_movers,T),zero) & greater_or_equal(T,To) -> greater(zero,growth_rate(first_movers,T)))) -> contracts_from(To,first_movers))) # label(mp_contracts_from) # label(axiom).
% 0.07/0.46 (all E all T (environment(E) & in_environment(E,T) & greater(cardinality_at_time(first_movers,T),zero) & greater(cardinality_at_time(efficient_producers,T),zero) -> subpopulations(first_movers,efficient_producers,E,T))) # label(mp_contains_FM_and_EP) # label(axiom).
% 0.07/0.46 (all E all T1 all T2 (environment(E) & stable(E) & in_environment(E,T1) & greater(T2,T1) -> in_environment(E,T2))) # label(mp_long_stable_environments) # label(axiom).
% 0.07/0.46 (all E (environment(E) & stable(E) -> in_environment(E,appear(first_movers,E)))) # label(mp_stable_first_movers) # label(axiom).
% 0.07/0.46 (all E (environment(E) & stable(E) -> in_environment(E,appear(efficient_producers,E)))) # label(mp_stable_efficient_producers) # label(axiom).
% 0.07/0.46 (all E (environment(E) & stable(E) & (exists T1 (in_environment(E,T1) & (all T (subpopulations(first_movers,efficient_producers,E,T) & greater_or_equal(T,T1) -> greater(zero,growth_rate(first_movers,T)))))) -> (exists T2 (greater(T2,appear(efficient_producers,E)) & (all T (subpopulations(first_movers,efficient_producers,E,T) & greater_or_equal(T,T2) -> greater(zero,growth_rate(first_movers,T)))))))) # label(mp_first_movers_negative_growth) # label(axiom).
% 0.07/0.46 (all X all Y all Z (greater(X,Y) & greater(Y,Z) -> greater(X,Z))) # label(mp_greater_transitivity) # label(axiom).
% 0.07/0.46 (all E all T1 all T2 (in_environment(E,T1) & in_environment(E,T2) -> greater(T2,T1) | T2 = T1 | greater(T1,T2))) # label(mp_times_in_environment) # label(axiom).
% 0.07/0.46 (all X all Y (greater_or_equal(X,Y) <-> greater(X,Y) | X = Y)) # label(mp_greater_or_equal) # label(axiom).
% 0.07/0.46 (all E (environment(E) -> greater(appear(efficient_producers,e),appear(first_movers,E)))) # label(a3) # label(hypothesis).
% 0.07/0.46 (all E (environment(E) & stable(E) -> (exists T (in_environment(E,T) & greater_or_equal(T,equilibrium(E)))))) # label(a5) # label(hypothesis).
% 0.07/0.46 (all E all T (environment(E) & in_environment(E,T) & greater_or_equal(T,appear(efficient_producers,E)) -> greater(cardinality_at_time(efficient_producers,T),zero))) # label(t6) # label(hypothesis).
% 0.07/0.46 (all E (environment(E) & stable(E) -> (exists To (in_environment(E,To) & (all T (subpopulations(first_movers,efficient_producers,E,T) & greater_or_equal(T,To) -> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))) # label(l1) # label(hypothesis).
% 0.07/0.46 -(all E (environment(E) & stable(E) -> (exists To (in_environment(E,To) & greater(To,appear(first_movers,E)) & cardinality_at_time(first_movers,to) = zero)))) # label(prove_t7) # label(negated_conjecture).
% 0.07/0.46 end_of_list.
% 0.07/0.46
% 0.07/0.46 % From the command line: assign(max_seconds, 300).
% 0.07/0.46
% 0.07/0.46 ============================== end of input ==========================
% 0.07/0.46
% 0.07/0.46 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.07/0.46
% 0.07/0.46 % Formulas that are not ordinary clauses:
% 0.07/0.46 1 (all S all To (finite_set(S) & contracts_from(To,S) -> (exists T2 (greater(T2,To) & cardinality_at_time(s,t2) = zero)))) # label(mp_contracting_time) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 2 (all E all To (environment(E) & stable(E) & in_environment(E,To) & (all T (greater(cardinality_at_time(first_movers,T),zero) & greater_or_equal(T,To) -> greater(zero,growth_rate(first_movers,T)))) -> contracts_from(To,first_movers))) # label(mp_contracts_from) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 3 (all E all T (environment(E) & in_environment(E,T) & greater(cardinality_at_time(first_movers,T),zero) & greater(cardinality_at_time(efficient_producers,T),zero) -> subpopulations(first_movers,efficient_producers,E,T))) # label(mp_contains_FM_and_EP) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 4 (all E all T1 all T2 (environment(E) & stable(E) & in_environment(E,T1) & greater(T2,T1) -> in_environment(E,T2))) # label(mp_long_stable_environments) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 5 (all E (environment(E) & stable(E) -> in_environment(E,appear(first_movers,E)))) # label(mp_stable_first_movers) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 6 (all E (environment(E) & stable(E) -> in_environment(E,appear(efficient_producers,E)))) # label(mp_stable_efficient_producers) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 7 (all E (environment(E) & stable(E) & (exists T1 (in_environment(E,T1) & (all T (subpopulations(first_movers,efficient_producers,E,T) & greater_or_equal(T,T1) -> greater(zero,growth_rate(first_movers,T)))))) -> (exists T2 (greater(T2,appear(efficient_producers,E)) & (all T (subpopulations(first_movers,efficient_producers,E,T) & greater_or_equal(T,T2) -> greater(zero,growth_rate(first_movers,T)))))))) # label(mp_first_movers_negative_growth) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 8 (all X all Y all Z (greater(X,Y) & greater(Y,Z) -> greater(X,Z))) # label(mp_greater_transitivity) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 9 (all E all T1 all T2 (in_environment(E,T1) & in_environment(E,T2) -> greater(T2,T1) | T2 = T1 | greater(T1,T2))) # label(mp_times_in_environment) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 10 (all X all Y (greater_or_equal(X,Y) <-> greater(X,Y) | X = Y)) # label(mp_greater_or_equal) # label(axiom) # label(non_clause). [assumption].
% 0.07/0.46 11 (all E (environment(E) -> greater(appear(efficient_producers,e),appear(first_movers,E)))) # label(a3) # label(hypothesis) # label(non_clause). [assumption].
% 0.07/0.46 12 (all E (environment(E) & stable(E) -> (exists T (in_environment(E,T) & greater_or_equal(T,equilibrium(E)))))) # label(a5) # label(hypothesis) # label(non_clause). [assumption].
% 0.07/0.46 13 (all E all T (environment(E) & in_environment(E,T) & greater_or_equal(T,appear(efficient_producers,E)) -> greater(cardinality_at_time(efficient_producers,T),zero))) # label(t6) # label(hypothesis) # label(non_clause). [assumption].
% 0.07/0.46 14 (all E (environment(E) & stable(E) -> (exists To (in_environment(E,To) & (all T (subpopulations(first_movers,efficient_producers,E,T) & greater_or_equal(T,To) -> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))) # label(l1) # label(hypothesis) # label(non_clause). [assumption].
% 0.07/0.46 15 -(all E (environment(E) & stable(E) -> (exists To (in_environment(E,To) & greater(To,appear(first_movers,E)) & cardinality_at_time(first_movers,to) = zero)))) # label(prove_t7) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.07/0.46
% 0.07/0.46 ============================== end of process non-clausal formulas ===
% 0.07/0.46
% 0.07/0.46 ============================== CLAUSES FOR SEARCH ====================
% 0.07/0.46
% 0.07/0.46 formulas(mace4_clauses).
% 0.07/0.46 finite_set(first_movers) # label(mp7_first_movers_exist) # label(axiom).
% 0.07/0.46 -finite_set(A) | -contracts_from(B,A) | greater(f1(A,B),B) # label(mp_contracting_time) # label(axiom).
% 0.07/0.46 -finite_set(A) | -contracts_from(B,A) | cardinality_at_time(s,t2) = zero # label(mp_contracting_time) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | greater(cardinality_at_time(first_movers,f2(A,B)),zero) | contracts_from(B,first_movers) # label(mp_contracts_from) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | greater_or_equal(f2(A,B),B) | contracts_from(B,first_movers) # label(mp_contracts_from) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | -greater(zero,growth_rate(first_movers,f2(A,B))) | contracts_from(B,first_movers) # label(mp_contracts_from) # label(axiom).
% 0.07/0.46 -environment(A) | -in_environment(A,B) | -greater(cardinality_at_time(first_movers,B),zero) | -greater(cardinality_at_time(efficient_producers,B),zero) | subpopulations(first_movers,efficient_producers,A,B) # label(mp_contains_FM_and_EP) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | -greater(C,B) | in_environment(A,C) # label(mp_long_stable_environments) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | in_environment(A,appear(first_movers,A)) # label(mp_stable_first_movers) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | in_environment(A,appear(efficient_producers,A)) # label(mp_stable_efficient_producers) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | subpopulations(first_movers,efficient_producers,A,f3(A,B)) | greater(f4(A),appear(efficient_producers,A)) # label(mp_first_movers_negative_growth) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | subpopulations(first_movers,efficient_producers,A,f3(A,B)) | -subpopulations(first_movers,efficient_producers,A,C) | -greater_or_equal(C,f4(A)) | greater(zero,growth_rate(first_movers,C)) # label(mp_first_movers_negative_growth) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | greater_or_equal(f3(A,B),B) | greater(f4(A),appear(efficient_producers,A)) # label(mp_first_movers_negative_growth) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | greater_or_equal(f3(A,B),B) | -subpopulations(first_movers,efficient_producers,A,C) | -greater_or_equal(C,f4(A)) | greater(zero,growth_rate(first_movers,C)) # label(mp_first_movers_negative_growth) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | -greater(zero,growth_rate(first_movers,f3(A,B))) | greater(f4(A),appear(efficient_producers,A)) # label(mp_first_movers_negative_growth) # label(axiom).
% 0.07/0.46 -environment(A) | -stable(A) | -in_environment(A,B) | -greater(zero,growth_rate(first_movers,f3(A,B))) | -subpopulations(first_movers,efficient_producers,A,C) | -greater_or_equal(C,f4(A)) | greater(zero,growth_rate(first_movers,C)) # label(mp_first_movers_negative_growth) # label(axiom).
% 0.07/0.46 -greater(A,B) | -greater(B,C) | greater(A,C) # label(mp_greater_transitivity) # label(axiom).
% 0.07/0.46 -in_environment(A,B) | -in_environment(A,C) | greater(C,B) | B = C | greater(B,C) # label(mp_times_in_environment) # label(axiom).
% 0.07/0.46 -greater_or_equal(A,B) | greater(A,B) | B = A # label(mp_greater_or_equal) # label(axiom).
% 0.07/0.46 greater_or_equal(A,B) | -greater(A,B) # label(mp_greater_or_equal) # label(axiom).
% 0.07/0.46 greater_or_equal(A,B) | B != A # label(mp_greater_or_equal) # label(axiom).
% 0.07/0.46 -environment(A) | greater(appear(efficient_producers,e),appear(first_movers,A)) # label(a3) # label(hypothesis).
% 0.07/0.46 -environment(A) | -stable(A) | in_environment(A,f5(A)) # label(a5) # label(hypothesis).
% 0.07/0.46 -environment(A) | -stable(A) | greater_or_equal(f5(A),equilibrium(A)) # label(a5) # label(hypothesis).
% 0.07/0.46 -environment(A) | -in_environment(A,B) | -greater_or_equal(B,appear(efficient_producers,A)) | greater(cardinality_at_time(efficient_producers,B),zero) # label(t6) # label(hypothesis).
% 0.07/0.46 -environment(A) | -stable(A) | in_environment(A,f6(A)) # label(l1) # label(hypothesis).
% 0.07/0.46 -environment(A) | -stable(A) | -subpopulations(first_movers,efficient_producers,A,B) | -greater_or_equal(B,f6(A)) | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) # label(l1) # label(hypothesis).
% 0.07/0.46 environment(c1) # label(prove_t7) # label(negated_conjecture).
% 0.07/0.46 stable(c1) # label(prove_t7) # label(negated_conjecture).
% 0.07/0.46 -in_environment(c1,A) | -greater(A,appear(first_movers,c1)) | cardinality_at_time(first_movers,to) != zero # label(prove_t7) # label(negated_conjecture).
% 0.07/0.46 end_of_list.
% 0.07/0.46
% 0.07/0.46 ============================== end of clauses for search =============
% 0.07/0.46 % SZS output start FiniteModel
% 0.07/0.46
% 0.07/0.46 % There are no natural numbers in the input.
% 0.07/0.46
% 0.07/0.46 e : 0
% 0.07/0.46
% 0.07/0.46 efficient_producers : 0
% 0.07/0.46
% 0.07/0.46 first_movers : 0
% 0.07/0.46
% 0.07/0.46 s : 0
% 0.07/0.46
% 0.07/0.46 t2 : 0
% 0.07/0.46
% 0.07/0.46 to : 0
% 0.07/0.46
% 0.07/0.46 zero : 0
% 0.07/0.46
% 0.07/0.46 c1 : 0
% 0.07/0.46
% 0.07/0.46 equilibrium :
% 0.07/0.46 0 1
% 0.07/0.46 -------
% 0.07/0.46 0 0
% 0.07/0.46
% 0.07/0.46 f4 :
% 0.07/0.46 0 1
% 0.07/0.46 -------
% 0.07/0.46 0 0
% 0.07/0.46
% 0.07/0.46 f5 :
% 0.07/0.46 0 1
% 0.07/0.46 -------
% 0.07/0.46 0 0
% 0.07/0.46
% 0.07/0.46 f6 :
% 0.07/0.46 0 1
% 0.07/0.46 -------
% 0.07/0.46 0 0
% 0.07/0.46
% 0.07/0.46 appear :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 0 0
% 0.07/0.46 1 | 0 0
% 0.07/0.46
% 0.07/0.46 cardinality_at_time :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 1 0
% 0.07/0.46 1 | 0 0
% 0.07/0.46
% 0.07/0.46 growth_rate :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 0 1
% 0.07/0.46 1 | 0 0
% 0.07/0.46
% 0.07/0.46 f1 :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 0 0
% 0.07/0.46 1 | 0 0
% 0.07/0.46
% 0.07/0.46 f2 :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 1 1
% 0.07/0.46 1 | 0 0
% 0.07/0.46
% 0.07/0.46 f3 :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 1 1
% 0.07/0.46 1 | 0 0
% 0.07/0.46
% 0.07/0.46 environment :
% 0.07/0.46 0 1
% 0.07/0.46 -------
% 0.07/0.46 1 0
% 0.07/0.46
% 0.07/0.46 finite_set :
% 0.07/0.46 0 1
% 0.07/0.46 -------
% 0.07/0.46 1 0
% 0.07/0.46
% 0.07/0.46 stable :
% 0.07/0.46 0 1
% 0.07/0.46 -------
% 0.07/0.46 1 0
% 0.07/0.46
% 0.07/0.46 contracts_from :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 0 0
% 0.07/0.46 1 | 0 0
% 0.07/0.46
% 0.07/0.46 greater :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 1 0
% 0.07/0.46 1 | 1 1
% 0.07/0.46
% 0.07/0.46 greater_or_equal :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 1 0
% 0.07/0.46 1 | 1 1
% 0.07/0.46
% 0.07/0.46 in_environment :
% 0.07/0.46 | 0 1
% 0.07/0.46 --+----
% 0.07/0.46 0 | 1 1
% 0.07/0.46 1 | 0 0
% 0.07/0.46 subpopulations(0,0,0,0) = 1.
% 0.07/0.46 subpopulations(0,0,0,1) = 1.
% 0.07/0.46 subpopulations(0,0,1,0) = 0.
% 0.07/0.46 subpopulations(0,0,1,1) = 0.
% 0.07/0.46 subpopulations(0,1,0,0) = 0.
% 0.07/0.46 subpopulations(0,1,0,1) = 0.
% 0.07/0.46 subpopulations(0,1,1,0) = 0.
% 0.07/0.46 subpopulations(0,1,1,1) = 0.
% 0.07/0.46 subpopulations(1,0,0,0) = 0.
% 0.07/0.46 subpopulations(1,0,0,1) = 0.
% 0.07/0.46 subpopulations(1,0,1,0) = 0.
% 0.07/0.46 subpopulations(1,0,1,1) = 0.
% 0.07/0.46 subpopulations(1,1,0,0) = 0.
% 0.07/0.46 subpopulations(1,1,0,1) = 0.
% 0.07/0.46 subpopulations(1,1,1,0) = 0.
% 0.07/0.46 subpopulations(1,1,1,1) = 0.
% 0.07/0.46
% 0.07/0.46 % SZS output end FiniteModel
% 0.07/0.46 ------ process 51771 exit (max_models) ------
% 0.07/0.46
% 0.07/0.46 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.07/0.46
% 0.07/0.46 Exiting with 1 model.
% 0.07/0.46
% 0.07/0.46 Process 51771 exit (max_models) Tue Feb 7 19:47:16 2017
% 0.07/0.46 The process finished Tue Feb 7 19:47:16 2017
% 0.07/0.46 Mace4 ended
%------------------------------------------------------------------------------