%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT022+2 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 9.35s 9.61s % Output : Proof 9.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT022+2 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : duper %s % 0.10/0.36 % Computer : n018.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 12:07:07 UTC 2026 % 0.10/0.36 % CPUTime : % 9.35/9.61 SZS status Theorem for theBenchmark.p % 9.35/9.61 SZS output start Proof for theBenchmark.p % 9.35/9.61 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), constant X → Not (decreases X)) True % 9.35/9.61 Clause #1 (by assumption #[]): Eq % 9.35/9.61 (∀ (E S1 S2 T : Iota), % 9.35/9.61 And (And (environment E) (subpopulations S1 S2 E T)) (greater (resilience S2) (resilience S1)) → % 9.35/9.61 And (decreases (resources E T) → increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T))) % 9.35/9.61 (constant (resources E T) → constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) % 9.35/9.61 True % 9.35/9.61 Clause #2 (by assumption #[]): Eq (greater (resilience efficient_producers) (resilience first_movers)) True % 9.35/9.61 Clause #3 (by assumption #[]): Eq % 9.35/9.61 (Not % 9.35/9.61 (∀ (E T : Iota), % 9.35/9.61 And (environment E) (subpopulations first_movers efficient_producers E T) → % 9.35/9.61 And % 9.35/9.61 (decreases (resources E T) → % 9.35/9.61 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) % 9.35/9.61 (constant (resources E T) → % 9.35/9.61 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))) % 9.35/9.61 True % 9.35/9.61 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (constant a → Not (decreases a)) True % 9.35/9.61 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (constant a) False) (Eq (Not (decreases a)) True) % 9.35/9.61 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (constant a) False) (Eq (decreases a) False) % 9.35/9.61 Clause #7 (by clausification #[1]): ∀ (a : Iota), % 9.35/9.61 Eq % 9.35/9.61 (∀ (S1 S2 T : Iota), % 9.35/9.61 And (And (environment a) (subpopulations S1 S2 a T)) (greater (resilience S2) (resilience S1)) → % 9.35/9.61 And (decreases (resources a T) → increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T))) % 9.35/9.61 (constant (resources a T) → constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) % 9.35/9.61 True % 9.35/9.61 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), % 9.35/9.61 Eq % 9.35/9.61 (∀ (S2 T : Iota), % 9.35/9.61 And (And (environment a) (subpopulations a_1 S2 a T)) (greater (resilience S2) (resilience a_1)) → % 9.35/9.61 And (decreases (resources a T) → increases (difference (disbanding_rate a_1 T) (disbanding_rate S2 T))) % 9.35/9.61 (constant (resources a T) → constant (difference (disbanding_rate a_1 T) (disbanding_rate S2 T)))) % 9.35/9.61 True % 9.35/9.61 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), % 9.35/9.61 Eq % 9.35/9.61 (∀ (T : Iota), % 9.35/9.61 And (And (environment a) (subpopulations a_1 a_2 a T)) (greater (resilience a_2) (resilience a_1)) → % 9.35/9.61 And (decreases (resources a T) → increases (difference (disbanding_rate a_1 T) (disbanding_rate a_2 T))) % 9.35/9.61 (constant (resources a T) → constant (difference (disbanding_rate a_1 T) (disbanding_rate a_2 T)))) % 9.35/9.61 True % 9.35/9.61 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.61 Eq % 9.35/9.61 (And (And (environment a) (subpopulations a_1 a_2 a a_3)) (greater (resilience a_2) (resilience a_1)) → % 9.35/9.61 And (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))) % 9.35/9.61 (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3)))) % 9.35/9.61 True % 9.35/9.61 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.61 Or (Eq (And (And (environment a) (subpopulations a_1 a_2 a a_3)) (greater (resilience a_2) (resilience a_1))) False) % 9.35/9.61 (Eq % 9.35/9.61 (And (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))) % 9.35/9.61 (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3)))) % 9.35/9.61 True) % 9.35/9.61 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.61 Or % 9.35/9.61 (Eq % 9.35/9.61 (And (decreases (resources a a_1) → increases (difference (disbanding_rate a_2 a_1) (disbanding_rate a_3 a_1))) % 9.35/9.61 (constant (resources a a_1) → constant (difference (disbanding_rate a_2 a_1) (disbanding_rate a_3 a_1)))) % 9.35/9.61 True) % 9.35/9.61 (Or (Eq (And (environment a) (subpopulations a_2 a_3 a a_1)) False) % 9.35/9.61 (Eq (greater (resilience a_3) (resilience a_2)) False)) % 9.35/9.61 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.65 Or (Eq (And (environment a) (subpopulations a_1 a_2 a a_3)) False) % 9.35/9.65 (Or (Eq (greater (resilience a_2) (resilience a_1)) False) % 9.35/9.65 (Eq (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))) % 9.35/9.65 True)) % 9.35/9.65 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.65 Or (Eq (And (environment a) (subpopulations a_1 a_2 a a_3)) False) % 9.35/9.65 (Or (Eq (greater (resilience a_2) (resilience a_1)) False) % 9.35/9.65 (Eq (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))) % 9.35/9.65 True)) % 9.35/9.65 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.65 Or (Eq (greater (resilience a) (resilience a_1)) False) % 9.35/9.65 (Or % 9.35/9.65 (Eq (constant (resources a_2 a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True) % 9.35/9.65 (Or (Eq (environment a_2) False) (Eq (subpopulations a_1 a a_2 a_3) False))) % 9.35/9.65 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.65 Or (Eq (greater (resilience a) (resilience a_1)) False) % 9.35/9.65 (Or (Eq (environment a_2) False) % 9.35/9.65 (Or (Eq (subpopulations a_1 a a_2 a_3) False) % 9.35/9.65 (Or (Eq (constant (resources a_2 a_3)) False) % 9.35/9.65 (Eq (constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True)))) % 9.35/9.65 Clause #17 (by superposition #[16, 2]): ∀ (a a_1 : Iota), % 9.35/9.65 Or (Eq (environment a) False) % 9.35/9.65 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 9.35/9.65 (Or (Eq (constant (resources a a_1)) False) % 9.35/9.65 (Or % 9.35/9.65 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True) % 9.35/9.65 (Eq False True)))) % 9.35/9.65 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), % 9.35/9.65 Or (Eq (environment a) False) % 9.35/9.65 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 9.35/9.65 (Or (Eq (constant (resources a a_1)) False) % 9.35/9.65 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True))) % 9.35/9.65 Clause #19 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.65 Or (Eq (greater (resilience a) (resilience a_1)) False) % 9.35/9.65 (Or % 9.35/9.65 (Eq (decreases (resources a_2 a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) % 9.35/9.65 True) % 9.35/9.65 (Or (Eq (environment a_2) False) (Eq (subpopulations a_1 a a_2 a_3) False))) % 9.35/9.65 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota), % 9.35/9.65 Or (Eq (greater (resilience a) (resilience a_1)) False) % 9.35/9.65 (Or (Eq (environment a_2) False) % 9.35/9.65 (Or (Eq (subpopulations a_1 a a_2 a_3) False) % 9.35/9.65 (Or (Eq (decreases (resources a_2 a_3)) False) % 9.35/9.65 (Eq (increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True)))) % 9.35/9.65 Clause #21 (by superposition #[20, 2]): ∀ (a a_1 : Iota), % 9.35/9.65 Or (Eq (environment a) False) % 9.35/9.65 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 9.35/9.65 (Or (Eq (decreases (resources a a_1)) False) % 9.35/9.65 (Or % 9.35/9.65 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) % 9.35/9.65 True) % 9.35/9.65 (Eq False True)))) % 9.35/9.65 Clause #22 (by clausification #[3]): Eq % 9.35/9.65 (∀ (E T : Iota), % 9.35/9.65 And (environment E) (subpopulations first_movers efficient_producers E T) → % 9.35/9.65 And % 9.35/9.65 (decreases (resources E T) → % 9.35/9.65 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) % 9.35/9.65 (constant (resources E T) → % 9.35/9.65 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))) % 9.35/9.65 False % 9.35/9.65 Clause #23 (by clausification #[22]): ∀ (a : Iota), % 9.35/9.65 Eq % 9.35/9.65 (Not % 9.35/9.65 (∀ (T : Iota), % 9.35/9.65 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) → % 9.35/9.65 And % 9.35/9.65 (decreases (resources (skS.0 0 a) T) → % 9.35/9.65 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) % 9.35/9.65 (constant (resources (skS.0 0 a) T) → % 9.35/9.65 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))) % 9.35/9.69 True % 9.35/9.69 Clause #24 (by clausification #[23]): ∀ (a : Iota), % 9.35/9.69 Eq % 9.35/9.69 (∀ (T : Iota), % 9.35/9.69 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) → % 9.35/9.69 And % 9.35/9.69 (decreases (resources (skS.0 0 a) T) → % 9.35/9.69 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) % 9.35/9.69 (constant (resources (skS.0 0 a) T) → % 9.35/9.69 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))) % 9.35/9.69 False % 9.35/9.69 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), % 9.35/9.69 Eq % 9.35/9.69 (Not % 9.35/9.69 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) → % 9.35/9.69 And % 9.35/9.69 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.35/9.69 increases % 9.35/9.69 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.35/9.69 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.35/9.69 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.35/9.69 Not % 9.35/9.69 (decreases % 9.35/9.69 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.35/9.69 (disbanding_rate efficient_producers (skS.0 1 a a_1))))))) % 9.35/9.69 True % 9.35/9.69 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), % 9.35/9.69 Eq % 9.35/9.69 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) → % 9.35/9.69 And % 9.35/9.69 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.35/9.69 increases % 9.35/9.69 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.35/9.69 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.35/9.69 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.35/9.69 Not % 9.35/9.69 (decreases % 9.35/9.69 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.35/9.69 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))) % 9.35/9.69 False % 9.35/9.69 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), % 9.35/9.69 Eq (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1))) True % 9.35/9.69 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), % 9.35/9.69 Eq % 9.35/9.69 (And % 9.35/9.69 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.35/9.69 increases % 9.35/9.69 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.35/9.69 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.35/9.69 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.35/9.69 Not % 9.35/9.69 (decreases % 9.35/9.69 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.35/9.69 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))) % 9.35/9.69 False % 9.35/9.69 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) True % 9.35/9.69 Clause #30 (by clausification #[27]): ∀ (a : Iota), Eq (environment (skS.0 0 a)) True % 9.35/9.69 Clause #31 (by superposition #[30, 18]): ∀ (a a_1 : Iota), % 9.35/9.69 Or (Eq True False) % 9.35/9.69 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 9.35/9.70 (Or (Eq (constant (resources (skS.0 0 a) a_1)) False) % 9.35/9.70 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True))) % 9.35/9.70 Clause #32 (by clausification #[21]): ∀ (a a_1 : Iota), % 9.35/9.70 Or (Eq (environment a) False) % 9.35/9.70 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 9.35/9.70 (Or (Eq (decreases (resources a a_1)) False) % 9.35/9.70 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) % 9.35/9.70 True))) % 9.35/9.70 Clause #33 (by superposition #[32, 30]): ∀ (a a_1 : Iota), % 9.35/9.70 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 9.35/9.70 (Or (Eq (decreases (resources (skS.0 0 a) a_1)) False) % 9.35/9.70 (Or % 9.35/9.70 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True) % 9.35/9.70 (Eq False True))) % 9.35/9.70 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), % 9.35/9.70 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 9.45/9.74 (Or (Eq (decreases (resources (skS.0 0 a) a_1)) False) % 9.45/9.74 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)) % 9.45/9.74 Clause #35 (by superposition #[34, 29]): ∀ (a a_1 : Iota), % 9.45/9.74 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.45/9.74 (Or % 9.45/9.74 (Eq % 9.45/9.74 (increases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.74 True) % 9.45/9.74 (Eq False True)) % 9.45/9.74 Clause #36 (by clausification #[31]): ∀ (a a_1 : Iota), % 9.45/9.74 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 9.45/9.74 (Or (Eq (constant (resources (skS.0 0 a) a_1)) False) % 9.45/9.74 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)) % 9.45/9.74 Clause #37 (by superposition #[36, 29]): ∀ (a a_1 : Iota), % 9.45/9.74 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.45/9.74 (Or % 9.45/9.74 (Eq % 9.45/9.74 (constant % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.74 True) % 9.45/9.74 (Eq False True)) % 9.45/9.74 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), % 9.45/9.74 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.45/9.74 (Eq % 9.45/9.74 (constant % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.74 True) % 9.45/9.74 Clause #39 (by clausification #[28]): ∀ (a a_1 : Iota), % 9.45/9.74 Or % 9.45/9.74 (Eq % 9.45/9.74 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.45/9.74 increases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.74 False) % 9.45/9.74 (Eq % 9.45/9.74 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.45/9.74 Not % 9.45/9.74 (decreases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1))))) % 9.45/9.74 False) % 9.45/9.74 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), % 9.45/9.74 Or % 9.45/9.74 (Eq % 9.45/9.74 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.45/9.74 Not % 9.45/9.74 (decreases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1))))) % 9.45/9.74 False) % 9.45/9.74 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.74 Clause #41 (by clausification #[39]): ∀ (a a_1 : Iota), % 9.45/9.74 Or % 9.45/9.74 (Eq % 9.45/9.74 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.45/9.74 Not % 9.45/9.74 (decreases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1))))) % 9.45/9.74 False) % 9.45/9.74 (Eq % 9.45/9.74 (increases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.74 False) % 9.45/9.74 Clause #42 (by clausification #[40]): ∀ (a a_1 : Iota), % 9.45/9.74 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.74 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.74 Clause #43 (by clausification #[40]): ∀ (a a_1 : Iota), % 9.45/9.74 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.74 (Eq % 9.45/9.74 (Not % 9.45/9.74 (decreases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1))))) % 9.45/9.74 False) % 9.45/9.74 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), % 9.45/9.74 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.74 (Eq % 9.45/9.74 (decreases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.74 True) % 9.45/9.74 Clause #45 (by clausification #[35]): ∀ (a a_1 : Iota), % 9.45/9.74 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.45/9.74 (Eq % 9.45/9.74 (increases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.74 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.74 True) % 9.45/9.74 Clause #46 (by superposition #[45, 42]): ∀ (a a_1 : Iota), % 9.45/9.74 Or % 9.45/9.74 (Eq % 9.45/9.74 (increases % 9.45/9.74 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.78 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 True) % 9.45/9.78 (Or (Eq False True) (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)) % 9.45/9.78 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), % 9.45/9.78 Or % 9.45/9.78 (Eq % 9.45/9.78 (increases % 9.45/9.78 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.78 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 True) % 9.45/9.78 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.78 Clause #48 (by clausification #[41]): ∀ (a a_1 : Iota), % 9.45/9.78 Or % 9.45/9.78 (Eq % 9.45/9.78 (increases % 9.45/9.78 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.78 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 False) % 9.45/9.78 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.78 Clause #50 (by superposition #[48, 47]): ∀ (a a_1 : Iota), % 9.45/9.78 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.78 (Or (Eq False True) (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)) % 9.45/9.78 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), % 9.45/9.78 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.78 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.45/9.78 Clause #52 (by eliminate duplicate literals #[51]): ∀ (a a_1 : Iota), Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True % 9.45/9.78 Clause #53 (by backward demodulation #[52, 38]): ∀ (a a_1 : Iota), % 9.45/9.78 Or (Eq True False) % 9.45/9.78 (Eq % 9.45/9.78 (constant % 9.45/9.78 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.78 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 True) % 9.45/9.78 Clause #57 (by superposition #[52, 6]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.45/9.78 Clause #59 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False % 9.45/9.78 Clause #60 (by backward demodulation #[59, 44]): ∀ (a a_1 : Iota), % 9.45/9.78 Or (Eq False True) % 9.45/9.78 (Eq % 9.45/9.78 (decreases % 9.45/9.78 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.78 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 True) % 9.45/9.78 Clause #62 (by clausification #[53]): ∀ (a a_1 : Iota), % 9.45/9.78 Eq % 9.45/9.78 (constant % 9.45/9.78 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 True % 9.45/9.78 Clause #63 (by superposition #[62, 6]): ∀ (a a_1 : Iota), % 9.45/9.78 Or (Eq True False) % 9.45/9.78 (Eq % 9.45/9.78 (decreases % 9.45/9.78 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.45/9.78 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 False) % 9.45/9.78 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), % 9.45/9.78 Eq % 9.45/9.78 (decreases % 9.45/9.78 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 False % 9.45/9.78 Clause #67 (by clausification #[60]): ∀ (a a_1 : Iota), % 9.45/9.78 Eq % 9.45/9.78 (decreases % 9.45/9.78 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.45/9.78 True % 9.45/9.78 Clause #68 (by superposition #[67, 64]): Eq True False % 9.45/9.78 Clause #69 (by clausification #[68]): False % 9.45/9.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------