%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT023+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:06:16 AM UTC 2026 % Result : Theorem 10.56s 10.88s % Output : Proof 10.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT023+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : duper %s % 0.11/0.37 % Computer : n002.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 12:08:52 UTC 2026 % 0.11/0.37 % CPUTime : % 10.56/10.88 SZS status Theorem for theBenchmark.p % 10.56/10.88 SZS output start Proof for theBenchmark.p % 10.56/10.88 Clause #0 (by assumption #[]): Eq % 10.56/10.88 (∀ (E To : Iota), % 10.56/10.88 And % 10.56/10.88 (And (And (environment E) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To)))) % 10.56/10.88 (in_environment E To)) % 10.56/10.88 (∀ (T : Iota), % 10.56/10.88 And (subpopulations first_movers efficient_producers E T) (greater T To) → % 10.56/10.88 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) → % 10.56/10.88 Eq To (critical_point E)) % 10.56/10.88 True % 10.56/10.88 Clause #1 (by assumption #[]): Eq % 10.56/10.88 (∀ (E : Iota), % 10.56/10.88 And (environment E) (stable E) → % 10.56/10.88 Exists fun To => % 10.56/10.88 And % 10.56/10.88 (And (in_environment E To) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To)))) % 10.56/10.88 (∀ (T : Iota), % 10.56/10.88 And (subpopulations first_movers efficient_producers E T) (greater T To) → % 10.56/10.88 greater (growth_rate efficient_producers T) (growth_rate first_movers T))) % 10.56/10.88 True % 10.56/10.88 Clause #2 (by assumption #[]): Eq (Not (∀ (E : Iota), And (environment E) (stable E) → in_environment E (critical_point E))) True % 10.56/10.88 Clause #3 (by clausification #[2]): Eq (∀ (E : Iota), And (environment E) (stable E) → in_environment E (critical_point E)) False % 10.56/10.88 Clause #4 (by clausification #[3]): ∀ (a : Iota), % 10.56/10.88 Eq % 10.56/10.88 (Not (And (environment (skS.0 0 a)) (stable (skS.0 0 a)) → in_environment (skS.0 0 a) (critical_point (skS.0 0 a)))) % 10.56/10.88 True % 10.56/10.88 Clause #5 (by clausification #[4]): ∀ (a : Iota), % 10.56/10.88 Eq (And (environment (skS.0 0 a)) (stable (skS.0 0 a)) → in_environment (skS.0 0 a) (critical_point (skS.0 0 a))) % 10.56/10.88 False % 10.56/10.88 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (And (environment (skS.0 0 a)) (stable (skS.0 0 a))) True % 10.56/10.88 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (in_environment (skS.0 0 a) (critical_point (skS.0 0 a))) False % 10.56/10.88 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (stable (skS.0 0 a)) True % 10.56/10.88 Clause #9 (by clausification #[6]): ∀ (a : Iota), Eq (environment (skS.0 0 a)) True % 10.56/10.88 Clause #10 (by clausification #[0]): ∀ (a : Iota), % 10.56/10.88 Eq % 10.56/10.88 (∀ (To : Iota), % 10.56/10.88 And % 10.56/10.88 (And (And (environment a) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To)))) % 10.56/10.88 (in_environment a To)) % 10.56/10.88 (∀ (T : Iota), % 10.56/10.88 And (subpopulations first_movers efficient_producers a T) (greater T To) → % 10.56/10.88 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) → % 10.56/10.88 Eq To (critical_point a)) % 10.56/10.88 True % 10.56/10.88 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), % 10.56/10.88 Eq % 10.56/10.88 (And % 10.56/10.88 (And (And (environment a) (Not (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)))) % 10.56/10.88 (in_environment a a_1)) % 10.56/10.88 (∀ (T : Iota), % 10.56/10.88 And (subpopulations first_movers efficient_producers a T) (greater T a_1) → % 10.56/10.88 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) → % 10.56/10.88 Eq a_1 (critical_point a)) % 10.56/10.88 True % 10.56/10.88 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), % 10.56/10.88 Or % 10.56/10.88 (Eq % 10.56/10.88 (And % 10.56/10.88 (And (And (environment a) (Not (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)))) % 10.56/10.88 (in_environment a a_1)) % 10.56/10.88 (∀ (T : Iota), % 10.56/10.88 And (subpopulations first_movers efficient_producers a T) (greater T a_1) → % 10.56/10.88 greater (growth_rate efficient_producers T) (growth_rate first_movers T))) % 10.56/10.88 False) % 10.56/10.88 (Eq (Eq a_1 (critical_point a)) True) % 10.56/10.88 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), % 10.56/10.88 Or (Eq (Eq a (critical_point a_1)) True) % 10.56/10.88 (Or % 10.56/10.88 (Eq % 10.56/10.88 (And (And (environment a_1) (Not (greater (growth_rate efficient_producers a) (growth_rate first_movers a)))) % 10.56/10.88 (in_environment a_1 a)) % 10.56/10.88 False) % 10.56/10.88 (Eq % 10.56/10.88 (∀ (T : Iota), % 10.56/10.88 And (subpopulations first_movers efficient_producers a_1 T) (greater T a) → % 10.56/10.88 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) % 10.56/10.88 False)) % 10.56/10.88 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), % 10.56/10.88 Or % 10.56/10.88 (Eq % 10.56/10.88 (And (And (environment a) (Not (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)))) % 10.66/10.92 (in_environment a a_1)) % 10.66/10.92 False) % 10.66/10.92 (Or % 10.66/10.92 (Eq % 10.66/10.92 (∀ (T : Iota), % 10.66/10.92 And (subpopulations first_movers efficient_producers a T) (greater T a_1) → % 10.66/10.92 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) % 10.66/10.92 False) % 10.66/10.92 (Eq a_1 (critical_point a))) % 10.66/10.92 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), % 10.66/10.92 Or % 10.66/10.92 (Eq % 10.66/10.92 (∀ (T : Iota), % 10.66/10.92 And (subpopulations first_movers efficient_producers a T) (greater T a_1) → % 10.66/10.92 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) % 10.66/10.92 False) % 10.66/10.92 (Or (Eq a_1 (critical_point a)) % 10.66/10.92 (Or % 10.66/10.92 (Eq (And (environment a) (Not (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)))) % 10.66/10.92 False) % 10.66/10.92 (Eq (in_environment a a_1) False))) % 10.66/10.92 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), % 10.66/10.92 Or (Eq a (critical_point a_1)) % 10.66/10.92 (Or % 10.66/10.92 (Eq (And (environment a_1) (Not (greater (growth_rate efficient_producers a) (growth_rate first_movers a)))) % 10.66/10.92 False) % 10.66/10.92 (Or (Eq (in_environment a_1 a) False) % 10.66/10.92 (Eq % 10.66/10.92 (Not % 10.66/10.92 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2)) % 10.66/10.92 (greater (skS.0 1 a_1 a a_2) a) → % 10.66/10.92 greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2)) % 10.66/10.92 (growth_rate first_movers (skS.0 1 a_1 a a_2)))) % 10.66/10.92 True))) % 10.66/10.92 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), % 10.66/10.92 Or (Eq a (critical_point a_1)) % 10.66/10.92 (Or (Eq (in_environment a_1 a) False) % 10.66/10.92 (Or % 10.66/10.92 (Eq % 10.66/10.92 (Not % 10.66/10.92 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2)) % 10.66/10.92 (greater (skS.0 1 a_1 a a_2) a) → % 10.66/10.92 greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2)) % 10.66/10.92 (growth_rate first_movers (skS.0 1 a_1 a a_2)))) % 10.66/10.92 True) % 10.66/10.92 (Or (Eq (environment a_1) False) % 10.66/10.92 (Eq (Not (greater (growth_rate efficient_producers a) (growth_rate first_movers a))) False)))) % 10.66/10.92 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), % 10.66/10.92 Or (Eq a (critical_point a_1)) % 10.66/10.92 (Or (Eq (in_environment a_1 a) False) % 10.66/10.92 (Or (Eq (environment a_1) False) % 10.66/10.92 (Or (Eq (Not (greater (growth_rate efficient_producers a) (growth_rate first_movers a))) False) % 10.66/10.92 (Eq % 10.66/10.92 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2)) % 10.66/10.92 (greater (skS.0 1 a_1 a a_2) a) → % 10.66/10.92 greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2)) % 10.66/10.92 (growth_rate first_movers (skS.0 1 a_1 a a_2))) % 10.66/10.92 False)))) % 10.66/10.92 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), % 10.66/10.92 Or (Eq a (critical_point a_1)) % 10.66/10.92 (Or (Eq (in_environment a_1 a) False) % 10.66/10.92 (Or (Eq (environment a_1) False) % 10.66/10.92 (Or % 10.66/10.92 (Eq % 10.66/10.92 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2)) % 10.66/10.92 (greater (skS.0 1 a_1 a a_2) a) → % 10.66/10.92 greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2)) % 10.66/10.92 (growth_rate first_movers (skS.0 1 a_1 a a_2))) % 10.66/10.92 False) % 10.66/10.92 (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)))) % 10.66/10.92 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), % 10.66/10.92 Or (Eq a (critical_point a_1)) % 10.66/10.92 (Or (Eq (in_environment a_1 a) False) % 10.66/10.92 (Or (Eq (environment a_1) False) % 10.66/10.92 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True) % 10.66/10.92 (Eq % 10.66/10.92 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2)) % 10.66/10.92 (greater (skS.0 1 a_1 a a_2) a)) % 10.66/10.92 True)))) % 10.66/10.92 Clause #21 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), % 10.66/10.92 Or (Eq a (critical_point a_1)) % 10.66/10.92 (Or (Eq (in_environment a_1 a) False) % 10.66/10.92 (Or (Eq (environment a_1) False) % 10.66/10.92 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True) % 10.66/10.92 (Eq % 10.66/10.92 (greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2)) % 10.66/10.96 (growth_rate first_movers (skS.0 1 a_1 a a_2))) % 10.66/10.96 False)))) % 10.66/10.96 Clause #22 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), % 10.66/10.96 Or (Eq a (critical_point a_1)) % 10.66/10.96 (Or (Eq (in_environment a_1 a) False) % 10.66/10.96 (Or (Eq (environment a_1) False) % 10.66/10.96 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True) % 10.66/10.96 (Eq (greater (skS.0 1 a_1 a a_2) a) True)))) % 10.66/10.96 Clause #23 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), % 10.66/10.96 Or (Eq a (critical_point a_1)) % 10.66/10.96 (Or (Eq (in_environment a_1 a) False) % 10.66/10.96 (Or (Eq (environment a_1) False) % 10.66/10.96 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True) % 10.66/10.96 (Eq (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2)) True)))) % 10.66/10.96 Clause #24 (by clausification #[1]): ∀ (a : Iota), % 10.66/10.96 Eq % 10.66/10.96 (And (environment a) (stable a) → % 10.66/10.96 Exists fun To => % 10.66/10.96 And % 10.66/10.96 (And (in_environment a To) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To)))) % 10.66/10.96 (∀ (T : Iota), % 10.66/10.96 And (subpopulations first_movers efficient_producers a T) (greater T To) → % 10.66/10.96 greater (growth_rate efficient_producers T) (growth_rate first_movers T))) % 10.66/10.96 True % 10.66/10.96 Clause #25 (by clausification #[24]): ∀ (a : Iota), % 10.66/10.96 Or (Eq (And (environment a) (stable a)) False) % 10.66/10.96 (Eq % 10.66/10.96 (Exists fun To => % 10.66/10.96 And % 10.66/10.96 (And (in_environment a To) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To)))) % 10.66/10.96 (∀ (T : Iota), % 10.66/10.96 And (subpopulations first_movers efficient_producers a T) (greater T To) → % 10.66/10.96 greater (growth_rate efficient_producers T) (growth_rate first_movers T))) % 10.66/10.96 True) % 10.66/10.96 Clause #26 (by clausification #[25]): ∀ (a : Iota), % 10.66/10.96 Or % 10.66/10.96 (Eq % 10.66/10.96 (Exists fun To => % 10.66/10.96 And % 10.66/10.96 (And (in_environment a To) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To)))) % 10.66/10.96 (∀ (T : Iota), % 10.66/10.96 And (subpopulations first_movers efficient_producers a T) (greater T To) → % 10.66/10.96 greater (growth_rate efficient_producers T) (growth_rate first_movers T))) % 10.66/10.96 True) % 10.66/10.96 (Or (Eq (environment a) False) (Eq (stable a) False)) % 10.66/10.96 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), % 10.66/10.96 Or (Eq (environment a) False) % 10.66/10.96 (Or (Eq (stable a) False) % 10.66/10.96 (Eq % 10.66/10.96 (And % 10.66/10.96 (And (in_environment a (skS.0 2 a a_1)) % 10.66/10.96 (Not % 10.66/10.96 (greater (growth_rate efficient_producers (skS.0 2 a a_1)) (growth_rate first_movers (skS.0 2 a a_1))))) % 10.66/10.96 (∀ (T : Iota), % 10.66/10.96 And (subpopulations first_movers efficient_producers a T) (greater T (skS.0 2 a a_1)) → % 10.66/10.96 greater (growth_rate efficient_producers T) (growth_rate first_movers T))) % 10.66/10.96 True)) % 10.66/10.96 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), % 10.66/10.96 Or (Eq (environment a) False) % 10.66/10.96 (Or (Eq (stable a) False) % 10.66/10.96 (Eq % 10.66/10.96 (∀ (T : Iota), % 10.66/10.96 And (subpopulations first_movers efficient_producers a T) (greater T (skS.0 2 a a_1)) → % 10.66/10.96 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) % 10.66/10.96 True)) % 10.66/10.96 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota), % 10.66/10.96 Or (Eq (environment a) False) % 10.66/10.96 (Or (Eq (stable a) False) % 10.66/10.96 (Eq % 10.66/10.96 (And (in_environment a (skS.0 2 a a_1)) % 10.66/10.96 (Not (greater (growth_rate efficient_producers (skS.0 2 a a_1)) (growth_rate first_movers (skS.0 2 a a_1))))) % 10.66/10.96 True)) % 10.66/10.96 Clause #30 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), % 10.66/10.96 Or (Eq (environment a) False) % 10.66/10.96 (Or (Eq (stable a) False) % 10.66/10.96 (Eq % 10.66/10.96 (And (subpopulations first_movers efficient_producers a a_1) (greater a_1 (skS.0 2 a a_2)) → % 10.66/10.96 greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) % 10.66/10.96 True)) % 10.66/10.96 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), % 10.66/10.96 Or (Eq (environment a) False) % 10.66/10.96 (Or (Eq (stable a) False) % 10.66/10.96 (Or (Eq (And (subpopulations first_movers efficient_producers a a_1) (greater a_1 (skS.0 2 a a_2))) False) % 10.66/10.96 (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True))) % 10.66/11.01 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), % 10.66/11.01 Or (Eq (environment a) False) % 10.66/11.01 (Or (Eq (stable a) False) % 10.66/11.01 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True) % 10.66/11.01 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 10.66/11.01 (Eq (greater a_1 (skS.0 2 a a_2)) False)))) % 10.66/11.01 Clause #33 (by superposition #[32, 9]): ∀ (a a_1 a_2 : Iota), % 10.66/11.01 Or (Eq (stable (skS.0 0 a)) False) % 10.66/11.01 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True) % 10.66/11.01 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 10.66/11.01 (Or (Eq (greater a_1 (skS.0 2 (skS.0 0 a) a_2)) False) (Eq False True)))) % 10.66/11.01 Clause #34 (by clausification #[29]): ∀ (a a_1 : Iota), % 10.66/11.01 Or (Eq (environment a) False) % 10.66/11.01 (Or (Eq (stable a) False) % 10.66/11.01 (Eq (Not (greater (growth_rate efficient_producers (skS.0 2 a a_1)) (growth_rate first_movers (skS.0 2 a a_1)))) % 10.66/11.01 True)) % 10.66/11.01 Clause #35 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (environment a) False) (Or (Eq (stable a) False) (Eq (in_environment a (skS.0 2 a a_1)) True)) % 10.66/11.01 Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota), % 10.66/11.01 Or (Eq (environment a) False) % 10.66/11.01 (Or (Eq (stable a) False) % 10.66/11.01 (Eq (greater (growth_rate efficient_producers (skS.0 2 a a_1)) (growth_rate first_movers (skS.0 2 a a_1))) False)) % 10.66/11.01 Clause #37 (by superposition #[36, 9]): ∀ (a a_1 : Iota), % 10.66/11.01 Or (Eq (stable (skS.0 0 a)) False) % 10.66/11.01 (Or % 10.66/11.01 (Eq % 10.66/11.01 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.66/11.01 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.66/11.01 False) % 10.66/11.01 (Eq False True)) % 10.66/11.01 Clause #38 (by superposition #[35, 9]): ∀ (a a_1 : Iota), % 10.66/11.01 Or (Eq (stable (skS.0 0 a)) False) % 10.66/11.01 (Or (Eq (in_environment (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1)) True) (Eq False True)) % 10.66/11.01 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (stable (skS.0 0 a)) False) (Eq (in_environment (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1)) True) % 10.66/11.01 Clause #40 (by forward demodulation #[39, 8]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in_environment (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1)) True) % 10.66/11.01 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Eq (in_environment (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1)) True % 10.66/11.01 Clause #42 (by superposition #[41, 22]): ∀ (a a_1 a_2 : Iota), % 10.66/11.01 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.66/11.01 (Or (Eq True False) % 10.66/11.01 (Or (Eq (environment (skS.0 0 a)) False) % 10.66/11.01 (Or % 10.66/11.01 (Eq % 10.66/11.01 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.66/11.01 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.66/11.01 True) % 10.66/11.01 (Eq (greater (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2) (skS.0 2 (skS.0 0 a) a_1)) True)))) % 10.66/11.01 Clause #43 (by superposition #[41, 21]): ∀ (a a_1 a_2 : Iota), % 10.66/11.01 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.66/11.01 (Or (Eq True False) % 10.66/11.01 (Or (Eq (environment (skS.0 0 a)) False) % 10.66/11.01 (Or % 10.66/11.01 (Eq % 10.66/11.01 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.66/11.01 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.66/11.01 True) % 10.66/11.01 (Eq % 10.66/11.01 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.66/11.01 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.66/11.01 False)))) % 10.66/11.01 Clause #44 (by superposition #[41, 23]): ∀ (a a_1 a_2 : Iota), % 10.66/11.01 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.66/11.01 (Or (Eq True False) % 10.66/11.01 (Or (Eq (environment (skS.0 0 a)) False) % 10.66/11.01 (Or % 10.66/11.01 (Eq % 10.66/11.01 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.66/11.01 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.66/11.01 True) % 10.66/11.01 (Eq % 10.66/11.01 (subpopulations first_movers efficient_producers (skS.0 0 a) % 10.66/11.01 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.66/11.01 True)))) % 10.66/11.01 Clause #45 (by clausification #[37]): ∀ (a a_1 : Iota), % 10.79/11.06 Or (Eq (stable (skS.0 0 a)) False) % 10.79/11.06 (Eq % 10.79/11.06 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.06 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.06 False) % 10.79/11.06 Clause #46 (by forward demodulation #[45, 8]): ∀ (a a_1 : Iota), % 10.79/11.06 Or (Eq True False) % 10.79/11.06 (Eq % 10.79/11.06 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.06 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.06 False) % 10.79/11.06 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), % 10.79/11.06 Eq % 10.79/11.06 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.06 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.06 False % 10.79/11.06 Clause #48 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), % 10.79/11.06 Or (Eq (stable (skS.0 0 a)) False) % 10.79/11.06 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True) % 10.79/11.06 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 10.79/11.06 (Eq (greater a_1 (skS.0 2 (skS.0 0 a) a_2)) False))) % 10.79/11.06 Clause #49 (by forward demodulation #[48, 8]): ∀ (a a_1 a_2 : Iota), % 10.79/11.06 Or (Eq True False) % 10.79/11.06 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True) % 10.79/11.06 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a_1) a) False) % 10.79/11.06 (Eq (greater a (skS.0 2 (skS.0 0 a_1) a_2)) False))) % 10.79/11.06 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), % 10.79/11.06 Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True) % 10.79/11.06 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a_1) a) False) % 10.79/11.06 (Eq (greater a (skS.0 2 (skS.0 0 a_1) a_2)) False)) % 10.79/11.06 Clause #51 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), % 10.79/11.06 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.06 (Or (Eq (environment (skS.0 0 a)) False) % 10.79/11.06 (Or % 10.79/11.06 (Eq % 10.79/11.06 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.06 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.06 True) % 10.79/11.06 (Eq % 10.79/11.06 (subpopulations first_movers efficient_producers (skS.0 0 a) % 10.79/11.06 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.06 True))) % 10.79/11.06 Clause #52 (by forward demodulation #[51, 9]): ∀ (a a_1 a_2 : Iota), % 10.79/11.06 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.06 (Or (Eq True False) % 10.79/11.06 (Or % 10.79/11.06 (Eq % 10.79/11.06 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.06 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.06 True) % 10.79/11.06 (Eq % 10.79/11.06 (subpopulations first_movers efficient_producers (skS.0 0 a) % 10.79/11.06 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.06 True))) % 10.79/11.06 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), % 10.79/11.06 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.06 (Or % 10.79/11.06 (Eq % 10.79/11.06 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.06 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.06 True) % 10.79/11.06 (Eq % 10.79/11.06 (subpopulations first_movers efficient_producers (skS.0 0 a) % 10.79/11.06 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.06 True)) % 10.79/11.06 Clause #54 (by superposition #[53, 47]): ∀ (a a_1 a_2 : Iota), % 10.79/11.06 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.06 (Or % 10.79/11.06 (Eq % 10.79/11.06 (subpopulations first_movers efficient_producers (skS.0 0 a) % 10.79/11.06 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.06 True) % 10.79/11.06 (Eq True False)) % 10.79/11.06 Clause #56 (by clausification #[54]): ∀ (a a_1 a_2 : Iota), % 10.79/11.06 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.06 (Eq % 10.79/11.06 (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.06 True) % 10.79/11.06 Clause #57 (by superposition #[56, 50]): ∀ (a a_1 a_2 a_3 : Iota), % 10.79/11.06 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.06 (Or % 10.79/11.06 (Eq % 10.79/11.06 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.06 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.79/11.06 True) % 10.79/11.12 (Or (Eq True False) % 10.79/11.12 (Eq (greater (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2) (skS.0 2 (skS.0 0 a) a_3)) False))) % 10.79/11.12 Clause #58 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Or (Eq (environment (skS.0 0 a)) False) % 10.79/11.12 (Or % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.12 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.12 True) % 10.79/11.12 (Eq (greater (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2) (skS.0 2 (skS.0 0 a) a_1)) True))) % 10.79/11.12 Clause #59 (by forward demodulation #[58, 9]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Or (Eq True False) % 10.79/11.12 (Or % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.12 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.12 True) % 10.79/11.12 (Eq (greater (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2) (skS.0 2 (skS.0 0 a) a_1)) True))) % 10.79/11.12 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Or % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.12 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.12 True) % 10.79/11.12 (Eq (greater (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2) (skS.0 2 (skS.0 0 a) a_1)) True)) % 10.79/11.12 Clause #61 (by forward demodulation #[60, 47]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Or (Eq False True) % 10.79/11.12 (Eq (greater (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2) (skS.0 2 (skS.0 0 a) a_1)) True)) % 10.79/11.12 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Eq (greater (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2) (skS.0 2 (skS.0 0 a) a_1)) True) % 10.79/11.12 Clause #63 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Or (Eq (environment (skS.0 0 a)) False) % 10.79/11.12 (Or % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.12 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.12 True) % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.12 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.79/11.12 False))) % 10.79/11.12 Clause #64 (by forward demodulation #[63, 9]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Or (Eq True False) % 10.79/11.12 (Or % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.12 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.12 True) % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.12 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.79/11.12 False))) % 10.79/11.12 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Or % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1)) % 10.79/11.12 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1))) % 10.79/11.12 True) % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.12 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.79/11.12 False)) % 10.79/11.12 Clause #66 (by forward demodulation #[65, 47]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.79/11.12 (Or (Eq False True) % 10.79/11.12 (Eq % 10.79/11.12 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.79/11.12 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.79/11.12 False)) % 10.79/11.12 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota), % 10.79/11.12 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.89/11.15 (Eq % 10.89/11.15 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.89/11.15 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.89/11.15 False) % 10.89/11.15 Clause #68 (by clausification #[57]): ∀ (a a_1 a_2 a_3 : Iota), % 10.89/11.15 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.89/11.15 (Or % 10.89/11.15 (Eq % 10.89/11.15 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.89/11.15 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.89/11.15 True) % 10.89/11.15 (Eq (greater (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2) (skS.0 2 (skS.0 0 a) a_3)) False)) % 10.89/11.15 Clause #69 (by superposition #[68, 62]): ∀ (a a_1 a_2 : Iota), % 10.89/11.15 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.89/11.15 (Or % 10.89/11.15 (Eq % 10.89/11.15 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.89/11.15 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.89/11.15 True) % 10.89/11.15 (Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) (Eq False True))) % 10.89/11.15 Clause #72 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), % 10.89/11.15 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.89/11.15 (Or % 10.89/11.15 (Eq % 10.89/11.15 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.89/11.15 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.89/11.15 True) % 10.89/11.15 (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))) % 10.89/11.15 Clause #73 (by eliminate duplicate literals #[72]): ∀ (a a_1 a_2 : Iota), % 10.89/11.15 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.89/11.15 (Eq % 10.89/11.15 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)) % 10.89/11.15 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))) % 10.89/11.15 True) % 10.89/11.15 Clause #74 (by superposition #[73, 67]): ∀ (a a_1 : Iota), % 10.89/11.15 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.89/11.15 (Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) (Eq True False)) % 10.89/11.15 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), % 10.89/11.15 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.89/11.15 (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) % 10.89/11.15 Clause #76 (by eliminate duplicate literals #[75]): ∀ (a a_1 : Iota), Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)) % 10.89/11.15 Clause #77 (by backward demodulation #[76, 41]): ∀ (a : Iota), Eq (in_environment (skS.0 0 a) (critical_point (skS.0 0 a))) True % 10.89/11.15 Clause #84 (by superposition #[77, 7]): Eq True False % 10.89/11.15 Clause #85 (by clausification #[84]): False % 10.89/11.15 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------