TSTP Solution File: MGT020+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : MGT020+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 : Thu Aug 31 09:09:58 EDT 2023
% Result : Theorem 4.18s 4.34s
% Output : Proof 4.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT020+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 06:05:12 EDT 2023
% 0.15/0.35 % CPUTime :
% 4.18/4.34 SZS status Theorem for theBenchmark.p
% 4.18/4.34 SZS output start Proof for theBenchmark.p
% 4.18/4.34 Clause #0 (by assumption #[]): Eq
% 4.18/4.34 (∀ (E T : Iota),
% 4.18/4.34 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 4.18/4.34 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))
% 4.18/4.34 True
% 4.18/4.34 Clause #1 (by assumption #[]): Eq
% 4.18/4.34 (∀ (E T : Iota),
% 4.18/4.34 environment E →
% 4.18/4.34 And (in_environment E (initial_FM_EP E) → subpopulations first_movers efficient_producers E (initial_FM_EP E))
% 4.18/4.34 (subpopulations first_movers efficient_producers E T → greater_or_equal T (initial_FM_EP E)))
% 4.18/4.34 True
% 4.18/4.34 Clause #2 (by assumption #[]): Eq
% 4.18/4.34 (∀ (E T T1 T2 : Iota),
% 4.18/4.34 And
% 4.18/4.34 (And (And (And (environment E) (greater_or_equal T T1)) (greater_or_equal T2 T))
% 4.18/4.34 (subpopulations first_movers efficient_producers E T2))
% 4.18/4.34 (greater (disbanding_rate first_movers T1) (disbanding_rate efficient_producers T1)) →
% 4.18/4.34 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) →
% 4.18/4.34 greater (disbanding_rate first_movers T2) (disbanding_rate efficient_producers T2))
% 4.18/4.34 True
% 4.18/4.34 Clause #3 (by assumption #[]): Eq (∀ (E T : Iota), And (environment E) (subpopulations first_movers efficient_producers E T) → in_environment E T) True
% 4.18/4.34 Clause #4 (by assumption #[]): Eq (∀ (E : Iota), environment E → greater_or_equal (initial_FM_EP E) (start_time E)) True
% 4.18/4.34 Clause #5 (by assumption #[]): Eq
% 4.18/4.34 (∀ (E T1 T2 : Iota),
% 4.18/4.34 And (And (And (environment E) (greater_or_equal T1 (start_time E))) (greater T2 T1)) (in_environment E T2) →
% 4.18/4.34 in_environment E T1)
% 4.18/4.34 True
% 4.18/4.34 Clause #7 (by assumption #[]): Eq (∀ (X Y : Iota), greater_or_equal X Y → Or (greater X Y) (Eq X Y)) True
% 4.18/4.34 Clause #8 (by assumption #[]): Eq
% 4.18/4.34 (∀ (E : Iota),
% 4.18/4.34 environment E →
% 4.18/4.34 greater (disbanding_rate first_movers (initial_FM_EP E)) (disbanding_rate efficient_producers (initial_FM_EP E)))
% 4.18/4.34 True
% 4.18/4.34 Clause #10 (by assumption #[]): Eq
% 4.18/4.34 (Not
% 4.18/4.34 (∀ (E T : Iota),
% 4.18/4.34 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 4.18/4.34 greater (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))
% 4.18/4.34 True
% 4.18/4.34 Clause #11 (by clausification #[3]): ∀ (a : Iota),
% 4.18/4.34 Eq (∀ (T : Iota), And (environment a) (subpopulations first_movers efficient_producers a T) → in_environment a T) True
% 4.18/4.34 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota),
% 4.18/4.34 Eq (And (environment a) (subpopulations first_movers efficient_producers a a_1) → in_environment a a_1) True
% 4.18/4.34 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota),
% 4.18/4.34 Or (Eq (And (environment a) (subpopulations first_movers efficient_producers a a_1)) False)
% 4.18/4.34 (Eq (in_environment a a_1) True)
% 4.18/4.34 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota),
% 4.18/4.34 Or (Eq (in_environment a a_1) True)
% 4.18/4.34 (Or (Eq (environment a) False) (Eq (subpopulations first_movers efficient_producers a a_1) False))
% 4.18/4.34 Clause #20 (by clausification #[5]): ∀ (a : Iota),
% 4.18/4.34 Eq
% 4.18/4.34 (∀ (T1 T2 : Iota),
% 4.18/4.34 And (And (And (environment a) (greater_or_equal T1 (start_time a))) (greater T2 T1)) (in_environment a T2) →
% 4.18/4.34 in_environment a T1)
% 4.18/4.34 True
% 4.18/4.34 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota),
% 4.18/4.34 Eq
% 4.18/4.34 (∀ (T2 : Iota),
% 4.18/4.34 And (And (And (environment a) (greater_or_equal a_1 (start_time a))) (greater T2 a_1)) (in_environment a T2) →
% 4.18/4.34 in_environment a a_1)
% 4.18/4.34 True
% 4.18/4.34 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 4.18/4.34 Eq
% 4.18/4.34 (And (And (And (environment a) (greater_or_equal a_1 (start_time a))) (greater a_2 a_1)) (in_environment a a_2) →
% 4.18/4.34 in_environment a a_1)
% 4.18/4.34 True
% 4.18/4.34 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : Iota),
% 4.18/4.34 Or
% 4.18/4.34 (Eq (And (And (And (environment a) (greater_or_equal a_1 (start_time a))) (greater a_2 a_1)) (in_environment a a_2))
% 4.18/4.34 False)
% 4.18/4.34 (Eq (in_environment a a_1) True)
% 4.18/4.34 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 4.18/4.34 Or (Eq (in_environment a a_1) True)
% 4.18/4.34 (Or (Eq (And (And (environment a) (greater_or_equal a_1 (start_time a))) (greater a_2 a_1)) False)
% 4.18/4.36 (Eq (in_environment a a_2) False))
% 4.18/4.36 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 4.18/4.36 Or (Eq (in_environment a a_1) True)
% 4.18/4.36 (Or (Eq (in_environment a a_2) False)
% 4.18/4.36 (Or (Eq (And (environment a) (greater_or_equal a_1 (start_time a))) False) (Eq (greater a_2 a_1) False)))
% 4.18/4.36 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota),
% 4.18/4.36 Or (Eq (in_environment a a_1) True)
% 4.18/4.36 (Or (Eq (in_environment a a_2) False)
% 4.18/4.36 (Or (Eq (greater a_2 a_1) False)
% 4.18/4.36 (Or (Eq (environment a) False) (Eq (greater_or_equal a_1 (start_time a)) False))))
% 4.18/4.36 Clause #27 (by clausification #[4]): ∀ (a : Iota), Eq (environment a → greater_or_equal (initial_FM_EP a) (start_time a)) True
% 4.18/4.36 Clause #28 (by clausification #[27]): ∀ (a : Iota), Or (Eq (environment a) False) (Eq (greater_or_equal (initial_FM_EP a) (start_time a)) True)
% 4.18/4.36 Clause #38 (by clausification #[0]): ∀ (a : Iota),
% 4.18/4.36 Eq
% 4.18/4.36 (∀ (T : Iota),
% 4.18/4.36 And (environment a) (subpopulations first_movers efficient_producers a T) →
% 4.18/4.36 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))
% 4.18/4.36 True
% 4.18/4.36 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota),
% 4.18/4.36 Eq
% 4.18/4.36 (And (environment a) (subpopulations first_movers efficient_producers a a_1) →
% 4.18/4.36 Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))))
% 4.18/4.36 True
% 4.18/4.36 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 4.18/4.36 Or (Eq (And (environment a) (subpopulations first_movers efficient_producers a a_1)) False)
% 4.18/4.36 (Eq (Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))))
% 4.18/4.36 True)
% 4.18/4.36 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 4.18/4.36 Or (Eq (Not (decreases (difference (disbanding_rate first_movers a) (disbanding_rate efficient_producers a)))) True)
% 4.18/4.36 (Or (Eq (environment a_1) False) (Eq (subpopulations first_movers efficient_producers a_1 a) False))
% 4.18/4.36 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 4.18/4.36 Or (Eq (environment a) False)
% 4.18/4.36 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 4.18/4.36 (Eq (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) False))
% 4.18/4.36 Clause #43 (by clausification #[8]): ∀ (a : Iota),
% 4.18/4.36 Eq
% 4.18/4.36 (environment a →
% 4.18/4.36 greater (disbanding_rate first_movers (initial_FM_EP a)) (disbanding_rate efficient_producers (initial_FM_EP a)))
% 4.18/4.36 True
% 4.18/4.36 Clause #44 (by clausification #[43]): ∀ (a : Iota),
% 4.18/4.36 Or (Eq (environment a) False)
% 4.18/4.36 (Eq
% 4.18/4.36 (greater (disbanding_rate first_movers (initial_FM_EP a)) (disbanding_rate efficient_producers (initial_FM_EP a)))
% 4.18/4.36 True)
% 4.18/4.36 Clause #45 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Y : Iota), greater_or_equal a Y → Or (greater a Y) (Eq a Y)) True
% 4.18/4.36 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (greater_or_equal a a_1 → Or (greater a a_1) (Eq a a_1)) True
% 4.18/4.36 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) False) (Eq (Or (greater a a_1) (Eq a a_1)) True)
% 4.18/4.36 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) False) (Or (Eq (greater a a_1) True) (Eq (Eq a a_1) True))
% 4.18/4.36 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) False) (Or (Eq (greater a a_1) True) (Eq a a_1))
% 4.18/4.36 Clause #50 (by clausification #[10]): Eq
% 4.18/4.36 (∀ (E T : Iota),
% 4.18/4.36 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 4.18/4.36 greater (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))
% 4.18/4.36 False
% 4.18/4.36 Clause #51 (by clausification #[50]): ∀ (a : Iota),
% 4.18/4.36 Eq
% 4.18/4.36 (Not
% 4.18/4.36 (∀ (T : Iota),
% 4.18/4.36 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) →
% 4.18/4.36 greater (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))
% 4.18/4.36 True
% 4.18/4.36 Clause #52 (by clausification #[51]): ∀ (a : Iota),
% 4.18/4.36 Eq
% 4.18/4.36 (∀ (T : Iota),
% 4.18/4.36 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) →
% 4.18/4.36 greater (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))
% 4.18/4.37 False
% 4.18/4.37 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota),
% 4.18/4.37 Eq
% 4.18/4.37 (Not
% 4.18/4.37 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) →
% 4.18/4.37 greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 4.18/4.37 True
% 4.18/4.37 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota),
% 4.18/4.37 Eq
% 4.18/4.37 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) →
% 4.18/4.37 greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.18/4.37 False
% 4.18/4.37 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota),
% 4.18/4.37 Eq (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1))) True
% 4.18/4.37 Clause #56 (by clausification #[54]): ∀ (a a_1 : Iota),
% 4.18/4.37 Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.18/4.37 False
% 4.18/4.37 Clause #57 (by clausification #[55]): ∀ (a a_1 : Iota), Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.18/4.37 Clause #58 (by clausification #[55]): ∀ (a : Iota), Eq (environment (skS.0 0 a)) True
% 4.18/4.37 Clause #59 (by superposition #[58, 14]): ∀ (a a_1 : Iota),
% 4.18/4.37 Or (Eq (in_environment (skS.0 0 a) a_1) True)
% 4.18/4.37 (Or (Eq True False) (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False))
% 4.18/4.37 Clause #60 (by superposition #[58, 28]): ∀ (a : Iota), Or (Eq True False) (Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (start_time (skS.0 0 a))) True)
% 4.18/4.37 Clause #61 (by superposition #[58, 42]): ∀ (a a_1 : Iota),
% 4.18/4.37 Or (Eq True False)
% 4.18/4.37 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.18/4.37 (Eq (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) False))
% 4.18/4.37 Clause #62 (by superposition #[58, 44]): ∀ (a : Iota),
% 4.18/4.37 Or (Eq True False)
% 4.18/4.37 (Eq
% 4.18/4.37 (greater (disbanding_rate first_movers (initial_FM_EP (skS.0 0 a)))
% 4.18/4.37 (disbanding_rate efficient_producers (initial_FM_EP (skS.0 0 a))))
% 4.18/4.37 True)
% 4.18/4.37 Clause #63 (by clausification #[2]): ∀ (a : Iota),
% 4.18/4.37 Eq
% 4.18/4.37 (∀ (T T1 T2 : Iota),
% 4.18/4.37 And
% 4.18/4.37 (And (And (And (environment a) (greater_or_equal T T1)) (greater_or_equal T2 T))
% 4.18/4.37 (subpopulations first_movers efficient_producers a T2))
% 4.18/4.37 (greater (disbanding_rate first_movers T1) (disbanding_rate efficient_producers T1)) →
% 4.18/4.37 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))) →
% 4.18/4.37 greater (disbanding_rate first_movers T2) (disbanding_rate efficient_producers T2))
% 4.18/4.37 True
% 4.18/4.37 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota),
% 4.18/4.37 Eq
% 4.18/4.37 (∀ (T1 T2 : Iota),
% 4.18/4.37 And
% 4.18/4.37 (And (And (And (environment a) (greater_or_equal a_1 T1)) (greater_or_equal T2 a_1))
% 4.18/4.37 (subpopulations first_movers efficient_producers a T2))
% 4.18/4.37 (greater (disbanding_rate first_movers T1) (disbanding_rate efficient_producers T1)) →
% 4.18/4.37 Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) →
% 4.18/4.37 greater (disbanding_rate first_movers T2) (disbanding_rate efficient_producers T2))
% 4.18/4.37 True
% 4.18/4.37 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 : Iota),
% 4.18/4.37 Eq
% 4.18/4.37 (∀ (T2 : Iota),
% 4.18/4.37 And
% 4.18/4.37 (And (And (And (environment a) (greater_or_equal a_1 a_2)) (greater_or_equal T2 a_1))
% 4.18/4.37 (subpopulations first_movers efficient_producers a T2))
% 4.18/4.37 (greater (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2)) →
% 4.18/4.37 Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) →
% 4.18/4.37 greater (disbanding_rate first_movers T2) (disbanding_rate efficient_producers T2))
% 4.18/4.37 True
% 4.18/4.37 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.37 Eq
% 4.18/4.37 (And
% 4.18/4.37 (And (And (And (environment a) (greater_or_equal a_1 a_2)) (greater_or_equal a_3 a_1))
% 4.18/4.39 (subpopulations first_movers efficient_producers a a_3))
% 4.18/4.39 (greater (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2)) →
% 4.18/4.39 Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) →
% 4.18/4.39 greater (disbanding_rate first_movers a_3) (disbanding_rate efficient_producers a_3))
% 4.18/4.39 True
% 4.18/4.39 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.39 Or
% 4.18/4.39 (Eq
% 4.18/4.39 (And
% 4.18/4.39 (And (And (And (environment a) (greater_or_equal a_1 a_2)) (greater_or_equal a_3 a_1))
% 4.18/4.39 (subpopulations first_movers efficient_producers a a_3))
% 4.18/4.39 (greater (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2)))
% 4.18/4.39 False)
% 4.18/4.39 (Eq
% 4.18/4.39 (Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) →
% 4.18/4.39 greater (disbanding_rate first_movers a_3) (disbanding_rate efficient_producers a_3))
% 4.18/4.39 True)
% 4.18/4.39 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.39 Or
% 4.18/4.39 (Eq
% 4.18/4.39 (Not (decreases (difference (disbanding_rate first_movers a) (disbanding_rate efficient_producers a))) →
% 4.18/4.39 greater (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))
% 4.18/4.39 True)
% 4.18/4.39 (Or
% 4.18/4.39 (Eq
% 4.18/4.39 (And (And (And (environment a_2) (greater_or_equal a a_3)) (greater_or_equal a_1 a))
% 4.18/4.39 (subpopulations first_movers efficient_producers a_2 a_1))
% 4.18/4.39 False)
% 4.18/4.39 (Eq (greater (disbanding_rate first_movers a_3) (disbanding_rate efficient_producers a_3)) False))
% 4.18/4.39 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.39 Or
% 4.18/4.39 (Eq
% 4.18/4.39 (And (And (And (environment a) (greater_or_equal a_1 a_2)) (greater_or_equal a_3 a_1))
% 4.18/4.39 (subpopulations first_movers efficient_producers a a_3))
% 4.18/4.39 False)
% 4.18/4.39 (Or (Eq (greater (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2)) False)
% 4.18/4.39 (Or
% 4.18/4.39 (Eq (Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))))
% 4.18/4.39 False)
% 4.18/4.39 (Eq (greater (disbanding_rate first_movers a_3) (disbanding_rate efficient_producers a_3)) True)))
% 4.18/4.39 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.39 Or (Eq (greater (disbanding_rate first_movers a) (disbanding_rate efficient_producers a)) False)
% 4.18/4.39 (Or
% 4.18/4.39 (Eq (Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))))
% 4.18/4.39 False)
% 4.18/4.39 (Or (Eq (greater (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2)) True)
% 4.18/4.39 (Or (Eq (And (And (environment a_3) (greater_or_equal a_1 a)) (greater_or_equal a_2 a_1)) False)
% 4.18/4.39 (Eq (subpopulations first_movers efficient_producers a_3 a_2) False))))
% 4.18/4.39 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.39 Or (Eq (greater (disbanding_rate first_movers a) (disbanding_rate efficient_producers a)) False)
% 4.18/4.39 (Or (Eq (greater (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)) True)
% 4.18/4.39 (Or (Eq (And (And (environment a_2) (greater_or_equal a_3 a)) (greater_or_equal a_1 a_3)) False)
% 4.18/4.39 (Or (Eq (subpopulations first_movers efficient_producers a_2 a_1) False)
% 4.18/4.39 (Eq (decreases (difference (disbanding_rate first_movers a_3) (disbanding_rate efficient_producers a_3)))
% 4.18/4.39 True))))
% 4.18/4.39 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.39 Or (Eq (greater (disbanding_rate first_movers a) (disbanding_rate efficient_producers a)) False)
% 4.18/4.39 (Or (Eq (greater (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)) True)
% 4.18/4.39 (Or (Eq (subpopulations first_movers efficient_producers a_2 a_1) False)
% 4.18/4.39 (Or
% 4.18/4.39 (Eq (decreases (difference (disbanding_rate first_movers a_3) (disbanding_rate efficient_producers a_3)))
% 4.18/4.39 True)
% 4.18/4.39 (Or (Eq (And (environment a_2) (greater_or_equal a_3 a)) False) (Eq (greater_or_equal a_1 a_3) False)))))
% 4.18/4.39 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.39 Or (Eq (greater (disbanding_rate first_movers a) (disbanding_rate efficient_producers a)) False)
% 4.18/4.40 (Or (Eq (greater (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)) True)
% 4.18/4.40 (Or (Eq (subpopulations first_movers efficient_producers a_2 a_1) False)
% 4.18/4.40 (Or
% 4.18/4.40 (Eq (decreases (difference (disbanding_rate first_movers a_3) (disbanding_rate efficient_producers a_3)))
% 4.18/4.40 True)
% 4.18/4.40 (Or (Eq (greater_or_equal a_1 a_3) False)
% 4.18/4.40 (Or (Eq (environment a_2) False) (Eq (greater_or_equal a_3 a) False))))))
% 4.18/4.40 Clause #74 (by clausification #[1]): ∀ (a : Iota),
% 4.18/4.40 Eq
% 4.18/4.40 (∀ (T : Iota),
% 4.18/4.40 environment a →
% 4.18/4.40 And (in_environment a (initial_FM_EP a) → subpopulations first_movers efficient_producers a (initial_FM_EP a))
% 4.18/4.40 (subpopulations first_movers efficient_producers a T → greater_or_equal T (initial_FM_EP a)))
% 4.18/4.40 True
% 4.18/4.40 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota),
% 4.18/4.40 Eq
% 4.18/4.40 (environment a →
% 4.18/4.40 And (in_environment a (initial_FM_EP a) → subpopulations first_movers efficient_producers a (initial_FM_EP a))
% 4.18/4.40 (subpopulations first_movers efficient_producers a a_1 → greater_or_equal a_1 (initial_FM_EP a)))
% 4.18/4.40 True
% 4.18/4.40 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota),
% 4.18/4.40 Or (Eq (environment a) False)
% 4.18/4.40 (Eq
% 4.18/4.40 (And (in_environment a (initial_FM_EP a) → subpopulations first_movers efficient_producers a (initial_FM_EP a))
% 4.18/4.40 (subpopulations first_movers efficient_producers a a_1 → greater_or_equal a_1 (initial_FM_EP a)))
% 4.18/4.40 True)
% 4.18/4.40 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota),
% 4.18/4.40 Or (Eq (environment a) False)
% 4.18/4.40 (Eq (subpopulations first_movers efficient_producers a a_1 → greater_or_equal a_1 (initial_FM_EP a)) True)
% 4.18/4.40 Clause #78 (by clausification #[76]): ∀ (a : Iota),
% 4.18/4.40 Or (Eq (environment a) False)
% 4.18/4.40 (Eq (in_environment a (initial_FM_EP a) → subpopulations first_movers efficient_producers a (initial_FM_EP a)) True)
% 4.18/4.40 Clause #79 (by clausification #[77]): ∀ (a a_1 : Iota),
% 4.18/4.40 Or (Eq (environment a) False)
% 4.18/4.40 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 4.18/4.40 (Eq (greater_or_equal a_1 (initial_FM_EP a)) True))
% 4.18/4.40 Clause #80 (by superposition #[79, 58]): ∀ (a a_1 : Iota),
% 4.18/4.40 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.18/4.40 (Or (Eq (greater_or_equal a_1 (initial_FM_EP (skS.0 0 a))) True) (Eq False True))
% 4.18/4.40 Clause #81 (by clausification #[78]): ∀ (a : Iota),
% 4.18/4.40 Or (Eq (environment a) False)
% 4.18/4.40 (Or (Eq (in_environment a (initial_FM_EP a)) False)
% 4.18/4.40 (Eq (subpopulations first_movers efficient_producers a (initial_FM_EP a)) True))
% 4.18/4.40 Clause #82 (by superposition #[81, 58]): ∀ (a : Iota),
% 4.18/4.40 Or (Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) False)
% 4.18/4.40 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True)
% 4.18/4.40 (Eq False True))
% 4.18/4.40 Clause #83 (by clausification #[60]): ∀ (a : Iota), Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (start_time (skS.0 0 a))) True
% 4.18/4.40 Clause #86 (by clausification #[62]): ∀ (a : Iota),
% 4.18/4.40 Eq
% 4.18/4.40 (greater (disbanding_rate first_movers (initial_FM_EP (skS.0 0 a)))
% 4.18/4.40 (disbanding_rate efficient_producers (initial_FM_EP (skS.0 0 a))))
% 4.18/4.40 True
% 4.18/4.40 Clause #87 (by superposition #[86, 73]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.18/4.40 Or (Eq True False)
% 4.18/4.40 (Or (Eq (greater (disbanding_rate first_movers a) (disbanding_rate efficient_producers a)) True)
% 4.18/4.40 (Or (Eq (subpopulations first_movers efficient_producers a_1 a) False)
% 4.18/4.40 (Or
% 4.18/4.40 (Eq (decreases (difference (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2)))
% 4.18/4.40 True)
% 4.18/4.40 (Or (Eq (greater_or_equal a a_2) False)
% 4.18/4.40 (Or (Eq (environment a_1) False) (Eq (greater_or_equal a_2 (initial_FM_EP (skS.0 0 a_3))) False))))))
% 4.18/4.40 Clause #89 (by clausification #[59]): ∀ (a a_1 : Iota),
% 4.18/4.40 Or (Eq (in_environment (skS.0 0 a) a_1) True)
% 4.18/4.40 (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.18/4.40 Clause #90 (by superposition #[89, 57]): ∀ (a a_1 : Iota), Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq False True)
% 4.27/4.42 Clause #91 (by clausification #[61]): ∀ (a a_1 : Iota),
% 4.27/4.42 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.27/4.42 (Eq (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) False)
% 4.27/4.42 Clause #93 (by clausification #[90]): ∀ (a a_1 : Iota), Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.27/4.42 Clause #94 (by superposition #[93, 26]): ∀ (a a_1 a_2 : Iota),
% 4.27/4.42 Or (Eq (in_environment (skS.0 0 a) a_1) True)
% 4.27/4.42 (Or (Eq True False)
% 4.27/4.42 (Or (Eq (greater (skS.0 1 a a_2) a_1) False)
% 4.27/4.42 (Or (Eq (environment (skS.0 0 a)) False) (Eq (greater_or_equal a_1 (start_time (skS.0 0 a))) False))))
% 4.27/4.42 Clause #95 (by clausification #[80]): ∀ (a a_1 : Iota),
% 4.27/4.42 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.27/4.42 (Eq (greater_or_equal a_1 (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.42 Clause #96 (by superposition #[95, 57]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a))) True) (Eq False True)
% 4.27/4.42 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota), Eq (greater_or_equal (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a))) True
% 4.27/4.42 Clause #99 (by superposition #[97, 49]): ∀ (a a_1 : Iota),
% 4.27/4.42 Or (Eq True False)
% 4.27/4.42 (Or (Eq (greater (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.42 (Eq (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a))))
% 4.27/4.42 Clause #102 (by clausification #[82]): ∀ (a : Iota),
% 4.27/4.42 Or (Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) False)
% 4.27/4.42 (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.42 Clause #105 (by clausification #[99]): ∀ (a a_1 : Iota),
% 4.27/4.42 Or (Eq (greater (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a))) True) (Eq (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a)))
% 4.27/4.42 Clause #110 (by clausification #[94]): ∀ (a a_1 a_2 : Iota),
% 4.27/4.42 Or (Eq (in_environment (skS.0 0 a) a_1) True)
% 4.27/4.42 (Or (Eq (greater (skS.0 1 a a_2) a_1) False)
% 4.27/4.42 (Or (Eq (environment (skS.0 0 a)) False) (Eq (greater_or_equal a_1 (start_time (skS.0 0 a))) False)))
% 4.27/4.42 Clause #111 (by forward demodulation #[110, 58]): ∀ (a a_1 a_2 : Iota),
% 4.27/4.42 Or (Eq (in_environment (skS.0 0 a) a_1) True)
% 4.27/4.42 (Or (Eq (greater (skS.0 1 a a_2) a_1) False)
% 4.27/4.42 (Or (Eq True False) (Eq (greater_or_equal a_1 (start_time (skS.0 0 a))) False)))
% 4.27/4.42 Clause #112 (by clausification #[111]): ∀ (a a_1 a_2 : Iota),
% 4.27/4.42 Or (Eq (in_environment (skS.0 0 a) a_1) True)
% 4.27/4.42 (Or (Eq (greater (skS.0 1 a a_2) a_1) False) (Eq (greater_or_equal a_1 (start_time (skS.0 0 a))) False))
% 4.27/4.42 Clause #113 (by superposition #[112, 105]): ∀ (a a_1 : Iota),
% 4.27/4.42 Or (Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.42 (Or (Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (start_time (skS.0 0 a))) False)
% 4.27/4.42 (Or (Eq False True) (Eq (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a)))))
% 4.27/4.42 Clause #115 (by clausification #[87]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.27/4.42 Or (Eq (greater (disbanding_rate first_movers a) (disbanding_rate efficient_producers a)) True)
% 4.27/4.42 (Or (Eq (subpopulations first_movers efficient_producers a_1 a) False)
% 4.27/4.42 (Or
% 4.27/4.42 (Eq (decreases (difference (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2))) True)
% 4.27/4.42 (Or (Eq (greater_or_equal a a_2) False)
% 4.27/4.42 (Or (Eq (environment a_1) False) (Eq (greater_or_equal a_2 (initial_FM_EP (skS.0 0 a_3))) False)))))
% 4.27/4.42 Clause #116 (by superposition #[115, 57]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.27/4.42 Or
% 4.27/4.42 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.42 True)
% 4.27/4.42 (Or (Eq (decreases (difference (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2))) True)
% 4.27/4.42 (Or (Eq (greater_or_equal (skS.0 1 a a_1) a_2) False)
% 4.27/4.42 (Or (Eq (environment (skS.0 0 a)) False)
% 4.27/4.42 (Or (Eq (greater_or_equal a_2 (initial_FM_EP (skS.0 0 a_3))) False) (Eq False True)))))
% 4.27/4.42 Clause #124 (by clausification #[113]): ∀ (a a_1 : Iota),
% 4.27/4.42 Or (Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.42 (Or (Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (start_time (skS.0 0 a))) False)
% 4.27/4.44 (Eq (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a))))
% 4.27/4.44 Clause #125 (by superposition #[124, 83]): ∀ (a a_1 : Iota),
% 4.27/4.44 Or (Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.44 (Or (Eq (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a))) (Eq False True))
% 4.27/4.44 Clause #129 (by clausification #[125]): ∀ (a a_1 : Iota),
% 4.27/4.44 Or (Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True) (Eq (skS.0 1 a a_1) (initial_FM_EP (skS.0 0 a)))
% 4.27/4.44 Clause #134 (by superposition #[129, 93]): ∀ (a : Iota),
% 4.27/4.44 Or (Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.44 (Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.44 Clause #139 (by eliminate duplicate literals #[134]): ∀ (a : Iota), Eq (in_environment (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True
% 4.27/4.44 Clause #140 (by backward demodulation #[139, 102]): ∀ (a : Iota),
% 4.27/4.44 Or (Eq True False) (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.44 Clause #142 (by clausification #[140]): ∀ (a : Iota), Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (initial_FM_EP (skS.0 0 a))) True
% 4.27/4.44 Clause #145 (by superposition #[142, 91]): ∀ (a : Iota),
% 4.27/4.44 Or (Eq True False)
% 4.27/4.44 (Eq
% 4.27/4.44 (decreases
% 4.27/4.44 (difference (disbanding_rate first_movers (initial_FM_EP (skS.0 0 a)))
% 4.27/4.44 (disbanding_rate efficient_producers (initial_FM_EP (skS.0 0 a)))))
% 4.27/4.44 False)
% 4.27/4.44 Clause #146 (by superposition #[142, 95]): ∀ (a : Iota), Or (Eq True False) (Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (initial_FM_EP (skS.0 0 a))) True)
% 4.27/4.44 Clause #148 (by clausification #[146]): ∀ (a : Iota), Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (initial_FM_EP (skS.0 0 a))) True
% 4.27/4.44 Clause #151 (by clausification #[116]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.27/4.44 Or
% 4.27/4.44 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.44 True)
% 4.27/4.44 (Or (Eq (decreases (difference (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2))) True)
% 4.27/4.44 (Or (Eq (greater_or_equal (skS.0 1 a a_1) a_2) False)
% 4.27/4.44 (Or (Eq (environment (skS.0 0 a)) False) (Eq (greater_or_equal a_2 (initial_FM_EP (skS.0 0 a_3))) False))))
% 4.27/4.44 Clause #152 (by forward demodulation #[151, 58]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.27/4.44 Or
% 4.27/4.44 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.44 True)
% 4.27/4.44 (Or (Eq (decreases (difference (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2))) True)
% 4.27/4.44 (Or (Eq (greater_or_equal (skS.0 1 a a_1) a_2) False)
% 4.27/4.44 (Or (Eq True False) (Eq (greater_or_equal a_2 (initial_FM_EP (skS.0 0 a_3))) False))))
% 4.27/4.44 Clause #153 (by clausification #[152]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.27/4.44 Or
% 4.27/4.44 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.44 True)
% 4.27/4.44 (Or (Eq (decreases (difference (disbanding_rate first_movers a_2) (disbanding_rate efficient_producers a_2))) True)
% 4.27/4.44 (Or (Eq (greater_or_equal (skS.0 1 a a_1) a_2) False)
% 4.27/4.44 (Eq (greater_or_equal a_2 (initial_FM_EP (skS.0 0 a_3))) False)))
% 4.27/4.44 Clause #154 (by superposition #[153, 97]): ∀ (a a_1 a_2 : Iota),
% 4.27/4.44 Or
% 4.27/4.44 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.44 True)
% 4.27/4.44 (Or
% 4.27/4.44 (Eq
% 4.27/4.44 (decreases
% 4.27/4.44 (difference (disbanding_rate first_movers (initial_FM_EP (skS.0 0 a)))
% 4.27/4.44 (disbanding_rate efficient_producers (initial_FM_EP (skS.0 0 a)))))
% 4.27/4.44 True)
% 4.27/4.44 (Or (Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (initial_FM_EP (skS.0 0 a_2))) False) (Eq False True)))
% 4.27/4.44 Clause #155 (by clausification #[145]): ∀ (a : Iota),
% 4.27/4.44 Eq
% 4.27/4.44 (decreases
% 4.27/4.44 (difference (disbanding_rate first_movers (initial_FM_EP (skS.0 0 a)))
% 4.27/4.44 (disbanding_rate efficient_producers (initial_FM_EP (skS.0 0 a)))))
% 4.27/4.44 False
% 4.27/4.44 Clause #176 (by clausification #[154]): ∀ (a a_1 a_2 : Iota),
% 4.27/4.44 Or
% 4.27/4.44 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.45 True)
% 4.27/4.45 (Or
% 4.27/4.45 (Eq
% 4.27/4.45 (decreases
% 4.27/4.45 (difference (disbanding_rate first_movers (initial_FM_EP (skS.0 0 a)))
% 4.27/4.45 (disbanding_rate efficient_producers (initial_FM_EP (skS.0 0 a)))))
% 4.27/4.45 True)
% 4.27/4.45 (Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (initial_FM_EP (skS.0 0 a_2))) False))
% 4.27/4.45 Clause #177 (by forward demodulation #[176, 155]): ∀ (a a_1 a_2 : Iota),
% 4.27/4.45 Or
% 4.27/4.45 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.45 True)
% 4.27/4.45 (Or (Eq False True) (Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (initial_FM_EP (skS.0 0 a_2))) False))
% 4.27/4.45 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 : Iota),
% 4.27/4.45 Or
% 4.27/4.45 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.45 True)
% 4.27/4.45 (Eq (greater_or_equal (initial_FM_EP (skS.0 0 a)) (initial_FM_EP (skS.0 0 a_2))) False)
% 4.27/4.45 Clause #179 (by superposition #[178, 148]): ∀ (a a_1 : Iota),
% 4.27/4.45 Or
% 4.27/4.45 (Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1)))
% 4.27/4.45 True)
% 4.27/4.45 (Eq False True)
% 4.27/4.45 Clause #180 (by clausification #[179]): ∀ (a a_1 : Iota),
% 4.27/4.45 Eq (greater (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1))) True
% 4.27/4.45 Clause #182 (by superposition #[180, 56]): Eq True False
% 4.27/4.45 Clause #184 (by clausification #[182]): False
% 4.27/4.45 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------