%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT022+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 06:06:15 AM UTC 2026 % Result : Theorem 9.26s 9.59s % Output : Proof 9.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT022+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : duper %s % 0.11/0.37 % Computer : n029.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 12:05:57 UTC 2026 % 0.11/0.37 % CPUTime : % 9.26/9.59 SZS status Theorem for theBenchmark.p % 9.26/9.59 SZS output start Proof for theBenchmark.p % 9.26/9.59 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), constant X → Not (decreases X)) True % 9.26/9.59 Clause #1 (by assumption #[]): Eq % 9.26/9.59 (∀ (E S1 S2 T : Iota), % 9.26/9.59 And (And (environment E) (subpopulations S1 S2 E T)) (greater (resilience S2) (resilience S1)) → % 9.26/9.59 And (decreases (resources E T) → increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T))) % 9.26/9.59 (constant (resources E T) → constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) % 9.26/9.59 True % 9.26/9.59 Clause #2 (by assumption #[]): Eq (greater (resilience efficient_producers) (resilience first_movers)) True % 9.26/9.59 Clause #3 (by assumption #[]): Eq % 9.26/9.59 (Not % 9.26/9.59 (∀ (E T : Iota), % 9.26/9.59 And (environment E) (subpopulations first_movers efficient_producers E T) → % 9.26/9.59 And % 9.26/9.59 (decreases (resources E T) → % 9.26/9.59 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) % 9.26/9.59 (constant (resources E T) → % 9.26/9.59 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))) % 9.26/9.59 True % 9.26/9.59 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (constant a → Not (decreases a)) True % 9.26/9.59 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (constant a) False) (Eq (Not (decreases a)) True) % 9.26/9.59 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (constant a) False) (Eq (decreases a) False) % 9.26/9.59 Clause #7 (by clausification #[1]): ∀ (a : Iota), % 9.26/9.59 Eq % 9.26/9.59 (∀ (S1 S2 T : Iota), % 9.26/9.59 And (And (environment a) (subpopulations S1 S2 a T)) (greater (resilience S2) (resilience S1)) → % 9.26/9.59 And (decreases (resources a T) → increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T))) % 9.26/9.59 (constant (resources a T) → constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) % 9.26/9.59 True % 9.26/9.59 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), % 9.26/9.59 Eq % 9.26/9.59 (∀ (S2 T : Iota), % 9.26/9.59 And (And (environment a) (subpopulations a_1 S2 a T)) (greater (resilience S2) (resilience a_1)) → % 9.26/9.59 And (decreases (resources a T) → increases (difference (disbanding_rate a_1 T) (disbanding_rate S2 T))) % 9.26/9.59 (constant (resources a T) → constant (difference (disbanding_rate a_1 T) (disbanding_rate S2 T)))) % 9.26/9.59 True % 9.26/9.59 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), % 9.26/9.59 Eq % 9.26/9.59 (∀ (T : Iota), % 9.26/9.59 And (And (environment a) (subpopulations a_1 a_2 a T)) (greater (resilience a_2) (resilience a_1)) → % 9.26/9.59 And (decreases (resources a T) → increases (difference (disbanding_rate a_1 T) (disbanding_rate a_2 T))) % 9.26/9.59 (constant (resources a T) → constant (difference (disbanding_rate a_1 T) (disbanding_rate a_2 T)))) % 9.26/9.59 True % 9.26/9.59 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota), % 9.26/9.59 Eq % 9.26/9.59 (And (And (environment a) (subpopulations a_1 a_2 a a_3)) (greater (resilience a_2) (resilience a_1)) → % 9.26/9.59 And (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))) % 9.26/9.59 (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3)))) % 9.26/9.59 True % 9.26/9.59 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota), % 9.26/9.59 Or (Eq (And (And (environment a) (subpopulations a_1 a_2 a a_3)) (greater (resilience a_2) (resilience a_1))) False) % 9.26/9.59 (Eq % 9.26/9.59 (And (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))) % 9.26/9.59 (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3)))) % 9.26/9.59 True) % 9.26/9.59 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota), % 9.26/9.59 Or % 9.26/9.59 (Eq % 9.26/9.59 (And (decreases (resources a a_1) → increases (difference (disbanding_rate a_2 a_1) (disbanding_rate a_3 a_1))) % 9.26/9.59 (constant (resources a a_1) → constant (difference (disbanding_rate a_2 a_1) (disbanding_rate a_3 a_1)))) % 9.26/9.59 True) % 9.26/9.59 (Or (Eq (And (environment a) (subpopulations a_2 a_3 a a_1)) False) % 9.26/9.59 (Eq (greater (resilience a_3) (resilience a_2)) False)) % 9.26/9.59 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota), % 9.36/9.63 Or (Eq (And (environment a) (subpopulations a_1 a_2 a a_3)) False) % 9.36/9.63 (Or (Eq (greater (resilience a_2) (resilience a_1)) False) % 9.36/9.63 (Eq (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))) % 9.36/9.63 True)) % 9.36/9.63 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota), % 9.36/9.63 Or (Eq (And (environment a) (subpopulations a_1 a_2 a a_3)) False) % 9.36/9.63 (Or (Eq (greater (resilience a_2) (resilience a_1)) False) % 9.36/9.63 (Eq (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))) % 9.36/9.63 True)) % 9.36/9.63 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota), % 9.36/9.63 Or (Eq (greater (resilience a) (resilience a_1)) False) % 9.36/9.63 (Or % 9.36/9.63 (Eq (constant (resources a_2 a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True) % 9.36/9.63 (Or (Eq (environment a_2) False) (Eq (subpopulations a_1 a a_2 a_3) False))) % 9.36/9.63 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : Iota), % 9.36/9.63 Or (Eq (greater (resilience a) (resilience a_1)) False) % 9.36/9.63 (Or (Eq (environment a_2) False) % 9.36/9.63 (Or (Eq (subpopulations a_1 a a_2 a_3) False) % 9.36/9.63 (Or (Eq (constant (resources a_2 a_3)) False) % 9.36/9.63 (Eq (constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True)))) % 9.36/9.63 Clause #17 (by superposition #[16, 2]): ∀ (a a_1 : Iota), % 9.36/9.63 Or (Eq (environment a) False) % 9.36/9.63 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 9.36/9.63 (Or (Eq (constant (resources a a_1)) False) % 9.36/9.63 (Or % 9.36/9.63 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True) % 9.36/9.63 (Eq False True)))) % 9.36/9.63 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), % 9.36/9.63 Or (Eq (environment a) False) % 9.36/9.63 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 9.36/9.63 (Or (Eq (constant (resources a a_1)) False) % 9.36/9.63 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True))) % 9.36/9.63 Clause #19 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : Iota), % 9.36/9.63 Or (Eq (greater (resilience a) (resilience a_1)) False) % 9.36/9.63 (Or % 9.36/9.63 (Eq (decreases (resources a_2 a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) % 9.36/9.63 True) % 9.36/9.63 (Or (Eq (environment a_2) False) (Eq (subpopulations a_1 a a_2 a_3) False))) % 9.36/9.63 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota), % 9.36/9.63 Or (Eq (greater (resilience a) (resilience a_1)) False) % 9.36/9.63 (Or (Eq (environment a_2) False) % 9.36/9.63 (Or (Eq (subpopulations a_1 a a_2 a_3) False) % 9.36/9.63 (Or (Eq (decreases (resources a_2 a_3)) False) % 9.36/9.63 (Eq (increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True)))) % 9.36/9.63 Clause #21 (by superposition #[20, 2]): ∀ (a a_1 : Iota), % 9.36/9.63 Or (Eq (environment a) False) % 9.36/9.63 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 9.36/9.63 (Or (Eq (decreases (resources a a_1)) False) % 9.36/9.63 (Or % 9.36/9.63 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) % 9.36/9.63 True) % 9.36/9.63 (Eq False True)))) % 9.36/9.63 Clause #22 (by clausification #[3]): Eq % 9.36/9.63 (∀ (E T : Iota), % 9.36/9.63 And (environment E) (subpopulations first_movers efficient_producers E T) → % 9.36/9.63 And % 9.36/9.63 (decreases (resources E T) → % 9.36/9.63 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) % 9.36/9.63 (constant (resources E T) → % 9.36/9.63 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))) % 9.36/9.63 False % 9.36/9.63 Clause #23 (by clausification #[22]): ∀ (a : Iota), % 9.36/9.63 Eq % 9.36/9.63 (Not % 9.36/9.63 (∀ (T : Iota), % 9.36/9.63 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) → % 9.36/9.63 And % 9.36/9.63 (decreases (resources (skS.0 0 a) T) → % 9.36/9.63 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) % 9.36/9.63 (constant (resources (skS.0 0 a) T) → % 9.36/9.63 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))) % 9.36/9.67 True % 9.36/9.67 Clause #24 (by clausification #[23]): ∀ (a : Iota), % 9.36/9.67 Eq % 9.36/9.67 (∀ (T : Iota), % 9.36/9.67 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) → % 9.36/9.67 And % 9.36/9.67 (decreases (resources (skS.0 0 a) T) → % 9.36/9.67 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) % 9.36/9.67 (constant (resources (skS.0 0 a) T) → % 9.36/9.67 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))) % 9.36/9.67 False % 9.36/9.67 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), % 9.36/9.67 Eq % 9.36/9.67 (Not % 9.36/9.67 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) → % 9.36/9.67 And % 9.36/9.67 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.36/9.67 increases % 9.36/9.67 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.36/9.67 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.36/9.67 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.36/9.67 Not % 9.36/9.67 (decreases % 9.36/9.67 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.36/9.67 (disbanding_rate efficient_producers (skS.0 1 a a_1))))))) % 9.36/9.67 True % 9.36/9.67 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), % 9.36/9.67 Eq % 9.36/9.67 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) → % 9.36/9.67 And % 9.36/9.67 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.36/9.67 increases % 9.36/9.67 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.36/9.67 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.36/9.67 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.36/9.67 Not % 9.36/9.67 (decreases % 9.36/9.67 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.36/9.67 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))) % 9.36/9.67 False % 9.36/9.67 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), % 9.36/9.67 Eq (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1))) True % 9.36/9.67 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), % 9.36/9.67 Eq % 9.36/9.67 (And % 9.36/9.67 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.36/9.67 increases % 9.36/9.67 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.36/9.67 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.36/9.67 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.36/9.67 Not % 9.36/9.67 (decreases % 9.36/9.67 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.36/9.67 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))) % 9.36/9.67 False % 9.36/9.67 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 % 9.36/9.67 Clause #30 (by clausification #[27]): ∀ (a : Iota), Eq (environment (skS.0 0 a)) True % 9.36/9.67 Clause #31 (by superposition #[30, 18]): ∀ (a a_1 : Iota), % 9.36/9.67 Or (Eq True False) % 9.36/9.67 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 9.36/9.67 (Or (Eq (constant (resources (skS.0 0 a) a_1)) False) % 9.36/9.67 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True))) % 9.36/9.67 Clause #32 (by clausification #[21]): ∀ (a a_1 : Iota), % 9.36/9.67 Or (Eq (environment a) False) % 9.36/9.67 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False) % 9.36/9.67 (Or (Eq (decreases (resources a a_1)) False) % 9.36/9.67 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) % 9.36/9.67 True))) % 9.36/9.67 Clause #33 (by superposition #[32, 30]): ∀ (a a_1 : Iota), % 9.36/9.67 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 9.36/9.67 (Or (Eq (decreases (resources (skS.0 0 a) a_1)) False) % 9.36/9.67 (Or % 9.36/9.67 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True) % 9.36/9.67 (Eq False True))) % 9.36/9.67 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), % 9.36/9.67 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 9.46/9.71 (Or (Eq (decreases (resources (skS.0 0 a) a_1)) False) % 9.46/9.71 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)) % 9.46/9.71 Clause #35 (by superposition #[34, 29]): ∀ (a a_1 : Iota), % 9.46/9.71 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.46/9.71 (Or % 9.46/9.71 (Eq % 9.46/9.71 (increases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.71 True) % 9.46/9.71 (Eq False True)) % 9.46/9.71 Clause #36 (by clausification #[31]): ∀ (a a_1 : Iota), % 9.46/9.71 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False) % 9.46/9.71 (Or (Eq (constant (resources (skS.0 0 a) a_1)) False) % 9.46/9.71 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)) % 9.46/9.71 Clause #37 (by superposition #[36, 29]): ∀ (a a_1 : Iota), % 9.46/9.71 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.46/9.71 (Or % 9.46/9.71 (Eq % 9.46/9.71 (constant % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.71 True) % 9.46/9.71 (Eq False True)) % 9.46/9.71 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), % 9.46/9.71 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.46/9.71 (Eq % 9.46/9.71 (constant % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.71 True) % 9.46/9.71 Clause #39 (by clausification #[28]): ∀ (a a_1 : Iota), % 9.46/9.71 Or % 9.46/9.71 (Eq % 9.46/9.71 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.46/9.71 increases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.71 False) % 9.46/9.71 (Eq % 9.46/9.71 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.46/9.71 Not % 9.46/9.71 (decreases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1))))) % 9.46/9.71 False) % 9.46/9.71 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), % 9.46/9.71 Or % 9.46/9.71 (Eq % 9.46/9.71 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.46/9.71 Not % 9.46/9.71 (decreases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1))))) % 9.46/9.71 False) % 9.46/9.71 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.71 Clause #41 (by clausification #[39]): ∀ (a a_1 : Iota), % 9.46/9.71 Or % 9.46/9.71 (Eq % 9.46/9.71 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) → % 9.46/9.71 Not % 9.46/9.71 (decreases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1))))) % 9.46/9.71 False) % 9.46/9.71 (Eq % 9.46/9.71 (increases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.71 False) % 9.46/9.71 Clause #42 (by clausification #[40]): ∀ (a a_1 : Iota), % 9.46/9.71 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.71 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.71 Clause #43 (by clausification #[40]): ∀ (a a_1 : Iota), % 9.46/9.71 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.71 (Eq % 9.46/9.71 (Not % 9.46/9.71 (decreases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1))))) % 9.46/9.71 False) % 9.46/9.71 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), % 9.46/9.71 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.71 (Eq % 9.46/9.71 (decreases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.71 True) % 9.46/9.71 Clause #45 (by clausification #[35]): ∀ (a a_1 : Iota), % 9.46/9.71 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False) % 9.46/9.71 (Eq % 9.46/9.71 (increases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.71 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.71 True) % 9.46/9.71 Clause #46 (by superposition #[45, 42]): ∀ (a a_1 : Iota), % 9.46/9.71 Or % 9.46/9.71 (Eq % 9.46/9.71 (increases % 9.46/9.71 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.75 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 True) % 9.46/9.75 (Or (Eq False True) (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)) % 9.46/9.75 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), % 9.46/9.75 Or % 9.46/9.75 (Eq % 9.46/9.75 (increases % 9.46/9.75 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.75 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 True) % 9.46/9.75 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.75 Clause #48 (by clausification #[41]): ∀ (a a_1 : Iota), % 9.46/9.75 Or % 9.46/9.75 (Eq % 9.46/9.75 (increases % 9.46/9.75 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.75 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 False) % 9.46/9.75 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.75 Clause #50 (by superposition #[48, 47]): ∀ (a a_1 : Iota), % 9.46/9.75 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.75 (Or (Eq False True) (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)) % 9.46/9.75 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota), % 9.46/9.75 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.75 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True) % 9.46/9.75 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 % 9.46/9.75 Clause #53 (by backward demodulation #[52, 38]): ∀ (a a_1 : Iota), % 9.46/9.75 Or (Eq True False) % 9.46/9.75 (Eq % 9.46/9.75 (constant % 9.46/9.75 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.75 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 True) % 9.46/9.75 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) % 9.46/9.75 Clause #59 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False % 9.46/9.75 Clause #60 (by backward demodulation #[59, 44]): ∀ (a a_1 : Iota), % 9.46/9.75 Or (Eq False True) % 9.46/9.75 (Eq % 9.46/9.75 (decreases % 9.46/9.75 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.75 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 True) % 9.46/9.75 Clause #62 (by clausification #[53]): ∀ (a a_1 : Iota), % 9.46/9.75 Eq % 9.46/9.75 (constant % 9.46/9.75 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 True % 9.46/9.75 Clause #63 (by superposition #[62, 6]): ∀ (a a_1 : Iota), % 9.46/9.75 Or (Eq True False) % 9.46/9.75 (Eq % 9.46/9.75 (decreases % 9.46/9.75 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) % 9.46/9.75 (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 False) % 9.46/9.75 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), % 9.46/9.75 Eq % 9.46/9.75 (decreases % 9.46/9.75 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 False % 9.46/9.75 Clause #67 (by clausification #[60]): ∀ (a a_1 : Iota), % 9.46/9.75 Eq % 9.46/9.75 (decreases % 9.46/9.75 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))) % 9.46/9.75 True % 9.46/9.75 Clause #68 (by superposition #[67, 64]): Eq True False % 9.46/9.75 Clause #69 (by clausification #[68]): False % 9.46/9.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------