%------------------------------------------------------------------------------ % File : E-Darwin---1.5 % Problem : MGT038+2 : TPTP v9.2.1. Bugfixed v9.3.0. % Transfm : none % Format : tptp:raw % Command : e-darwin -pev TPTP -pmd true -if tptp -pl 2 -pc false -ps false %s % Computer : n008.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 : Tue May 5 06:44:38 PM UTC 2026 % Result : CounterSatisfiable 12.86s 13.03s % Output : Model 12.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MGT038+2 : TPTP v9.2.1. Bugfixed v9.3.0. % 0.12/0.13 % Command : e-darwin -pev TPTP -pmd true -if tptp -pl 2 -pc false -ps false %s % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue May 5 03:38:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.16/0.35 E-Darwin 1.5 2012/06/20 (based on Darwin 1.3) % 0.16/0.35 % 0.16/0.35 % 0.16/0.35 Defaulting to tptp format. % 0.16/0.35 Parsing /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.16/0.35 % 0.16/0.35 % 0.16/0.35 % 0.16/0.35 Proving ... % 0.16/0.35 % 12.86/13.03 % SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.86/13.03 % 12.86/13.03 START OF MODEL (DIG): % 12.86/13.03 (sK5(sK6) = sK1(sK5(sK6), sK6)) % 12.86/13.03 (appear(efficient_producers, sK6) = sK1(appear(efficient_producers, sK6), sK6)) % 12.86/13.03 (appear(efficient_producers, e) = sK1(appear(efficient_producers, e), sK6)) % 12.86/13.03 (appear(first_movers, sK6) = sK1(appear(first_movers, sK6), sK6)) % 12.86/13.03 (sK2(sK5(sK6), sK6) = sK5(sK6)) % 12.86/13.03 (sK2(appear(efficient_producers, sK6), sK6) = appear(efficient_producers, sK6)) % 12.86/13.03 (sK2(appear(efficient_producers, e), sK6) = appear(efficient_producers, e)) % 12.86/13.03 (sK2(appear(first_movers, sK6), sK6) = appear(first_movers, sK6)) % 12.86/13.03 (sK2(sK4(sK6), sK6) = sK4(sK6)) % 12.86/13.03 (sK4(sK6) = sK1(sK4(sK6), sK6)) % 12.86/13.03 environment(sK6) % 12.86/13.03 finite_set(first_movers) % 12.86/13.03 greater(sK5(sK6), equilibrium(sK6)) % 12.86/13.03 greater(sK5(sK6), appear(efficient_producers, sK6)) % 12.86/13.03 greater(sK5(sK6), sK4(sK6)) % 12.86/13.03 greater(appear(efficient_producers, e), equilibrium(sK6)) % 12.86/13.03 greater(appear(efficient_producers, e), sK5(sK6)) % 12.86/13.03 greater(appear(efficient_producers, e), appear(efficient_producers, sK6)) % 12.86/13.03 greater(appear(efficient_producers, e), appear(first_movers, sK6)) % 12.86/13.03 greater(appear(efficient_producers, e), sK4(sK6)) % 12.86/13.03 greater(appear(first_movers, sK6), equilibrium(sK6)) % 12.86/13.03 greater(appear(first_movers, sK6), sK5(sK6)) % 12.86/13.03 greater(appear(first_movers, sK6), appear(efficient_producers, sK6)) % 12.86/13.03 greater(appear(first_movers, sK6), sK4(sK6)) % 12.86/13.03 greater(cardinality_at_time(efficient_producers, sK5(sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(efficient_producers, appear(efficient_producers, sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(efficient_producers, appear(efficient_producers, e)), zero) % 12.86/13.03 greater(cardinality_at_time(efficient_producers, appear(first_movers, sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(efficient_producers, sK4(sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, sK1(sK5(sK6), sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, sK1(appear(efficient_producers, sK6), sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, sK1(appear(efficient_producers, e), sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, sK1(appear(first_movers, sK6), sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, sK1(sK4(sK6), sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, sK5(sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, appear(efficient_producers, sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, appear(efficient_producers, e)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, appear(first_movers, sK6)), zero) % 12.86/13.03 greater(cardinality_at_time(first_movers, sK4(sK6)), zero) % 12.86/13.03 greater(sK4(sK6), equilibrium(sK6)) % 12.86/13.03 greater(sK4(sK6), appear(efficient_producers, sK6)) % 12.86/13.03 greater(growth_rate(efficient_producers, sK5(sK6)), growth_rate(first_movers, sK5(sK6))) % 12.86/13.03 greater(growth_rate(efficient_producers, appear(efficient_producers, e)), growth_rate(first_movers, appear(efficient_producers, e))) % 12.86/13.03 greater(growth_rate(efficient_producers, appear(first_movers, sK6)), growth_rate(first_movers, appear(first_movers, sK6))) % 12.86/13.03 greater(growth_rate(efficient_producers, sK2(sK5(sK6), sK6)), growth_rate(first_movers, sK2(sK5(sK6), sK6))) % 12.86/13.03 greater_or_equal(_0, _0) % 12.86/13.03 greater_or_equal(sK1(sK5(sK6), sK6), sK5(sK6)) % 12.86/13.03 greater_or_equal(sK1(appear(efficient_producers, sK6), sK6), appear(efficient_producers, sK6)) % 12.86/13.03 greater_or_equal(sK1(appear(efficient_producers, e), sK6), appear(efficient_producers, e)) % 12.86/13.03 greater_or_equal(sK1(appear(first_movers, sK6), sK6), appear(first_movers, sK6)) % 12.86/13.03 greater_or_equal(sK1(sK4(sK6), sK6), sK4(sK6)) % 12.86/13.03 greater_or_equal(sK5(sK6), equilibrium(sK6)) % 12.86/13.03 greater_or_equal(sK5(sK6), appear(efficient_producers, sK6)) % 12.86/13.03 greater_or_equal(sK5(sK6), sK4(sK6)) % 12.86/13.03 greater_or_equal(appear(efficient_producers, e), equilibrium(sK6)) % 12.86/13.03 greater_or_equal(appear(efficient_producers, e), sK5(sK6)) % 12.86/13.03 greater_or_equal(appear(efficient_producers, e), appear(efficient_producers, sK6)) % 12.86/13.03 greater_or_equal(appear(efficient_producers, e), appear(first_movers, sK6)) % 12.86/13.03 greater_or_equal(appear(efficient_producers, e), sK4(sK6)) % 12.86/13.03 greater_or_equal(appear(first_movers, sK6), equilibrium(sK6)) % 12.86/13.03 greater_or_equal(appear(first_movers, sK6), sK5(sK6)) % 12.86/13.03 greater_or_equal(appear(first_movers, sK6), appear(efficient_producers, sK6)) % 12.86/13.03 greater_or_equal(appear(first_movers, sK6), sK4(sK6)) % 12.86/13.03 greater_or_equal(sK4(sK6), equilibrium(sK6)) % 12.86/13.03 greater_or_equal(sK4(sK6), appear(efficient_producers, sK6)) % 12.86/13.03 greater_or_equal(cardinality_at_time(efficient_producers, sK5(sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(efficient_producers, appear(efficient_producers, sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(efficient_producers, appear(efficient_producers, e)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(efficient_producers, appear(first_movers, sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(efficient_producers, sK4(sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, sK1(sK5(sK6), sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, sK1(appear(efficient_producers, sK6), sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, sK1(appear(efficient_producers, e), sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, sK1(appear(first_movers, sK6), sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, sK1(sK4(sK6), sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, sK5(sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, appear(efficient_producers, sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, appear(efficient_producers, e)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, appear(first_movers, sK6)), zero) % 12.86/13.03 greater_or_equal(cardinality_at_time(first_movers, sK4(sK6)), zero) % 12.86/13.03 greater_or_equal(sK2(sK5(sK6), sK6), sK5(sK6)) % 12.86/13.03 greater_or_equal(sK2(appear(efficient_producers, sK6), sK6), appear(efficient_producers, sK6)) % 12.86/13.03 greater_or_equal(sK2(appear(efficient_producers, e), sK6), appear(efficient_producers, e)) % 12.86/13.03 greater_or_equal(sK2(appear(first_movers, sK6), sK6), appear(first_movers, sK6)) % 12.86/13.03 greater_or_equal(sK2(sK4(sK6), sK6), sK4(sK6)) % 12.86/13.03 greater_or_equal(growth_rate(efficient_producers, sK5(sK6)), growth_rate(first_movers, sK5(sK6))) % 12.86/13.03 greater_or_equal(growth_rate(efficient_producers, appear(efficient_producers, e)), growth_rate(first_movers, appear(efficient_producers, e))) % 12.86/13.03 greater_or_equal(growth_rate(efficient_producers, appear(first_movers, sK6)), growth_rate(first_movers, appear(first_movers, sK6))) % 12.86/13.03 greater_or_equal(growth_rate(efficient_producers, sK2(sK5(sK6), sK6)), growth_rate(first_movers, sK2(sK5(sK6), sK6))) % 12.86/13.03 in_environment(sK6, sK5(sK6)) % 12.86/13.03 in_environment(sK6, appear(efficient_producers, sK6)) % 12.86/13.03 in_environment(sK6, appear(efficient_producers, e)) % 12.86/13.03 in_environment(sK6, appear(first_movers, sK6)) % 12.86/13.03 in_environment(sK6, sK4(sK6)) % 12.86/13.03 sP0(sK5(sK6), sK6) % 12.86/13.03 sP0(appear(efficient_producers, sK6), sK6) % 12.86/13.03 sP0(appear(efficient_producers, e), sK6) % 12.86/13.03 sP0(appear(first_movers, sK6), sK6) % 12.86/13.03 sP0(sK4(sK6), sK6) % 12.86/13.03 stable(sK6) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, sK5(sK6)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, appear(efficient_producers, sK6)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, appear(efficient_producers, e)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, appear(first_movers, sK6)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, sK2(sK5(sK6), sK6)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, sK2(appear(efficient_producers, sK6), sK6)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, sK2(appear(efficient_producers, e), sK6)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, sK2(appear(first_movers, sK6), sK6)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, sK2(sK4(sK6), sK6)) % 12.86/13.03 subpopulations(first_movers, efficient_producers, sK6, sK4(sK6)) % 12.86/13.03 END OF MODEL %------------------------------------------------------------------------------