TSTP Solution File: MGT023+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 09:09:59 EDT 2023
% Result : Theorem 4.57s 4.77s
% Output : Proof 4.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15 % Command : duper %s
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 06:54:04 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.57/4.77 SZS status Theorem for theBenchmark.p
% 4.57/4.77 SZS output start Proof for theBenchmark.p
% 4.57/4.77 Clause #0 (by assumption #[]): Eq
% 4.57/4.77 (∀ (E To : Iota),
% 4.57/4.77 And
% 4.57/4.77 (And (And (environment E) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To))))
% 4.57/4.77 (in_environment E To))
% 4.57/4.77 (∀ (T : Iota),
% 4.57/4.77 And (subpopulations first_movers efficient_producers E T) (greater T To) →
% 4.57/4.77 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) →
% 4.57/4.77 Eq To (critical_point E))
% 4.57/4.77 True
% 4.57/4.77 Clause #1 (by assumption #[]): Eq
% 4.57/4.77 (∀ (E : Iota),
% 4.57/4.77 And (environment E) (stable E) →
% 4.57/4.77 Exists fun To =>
% 4.57/4.77 And
% 4.57/4.77 (And (in_environment E To) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To))))
% 4.57/4.77 (∀ (T : Iota),
% 4.57/4.77 And (subpopulations first_movers efficient_producers E T) (greater T To) →
% 4.57/4.77 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.57/4.77 True
% 4.57/4.77 Clause #2 (by assumption #[]): Eq (Not (∀ (E : Iota), And (environment E) (stable E) → in_environment E (critical_point E))) True
% 4.57/4.77 Clause #3 (by clausification #[2]): Eq (∀ (E : Iota), And (environment E) (stable E) → in_environment E (critical_point E)) False
% 4.57/4.77 Clause #4 (by clausification #[3]): ∀ (a : Iota),
% 4.57/4.77 Eq
% 4.57/4.77 (Not (And (environment (skS.0 0 a)) (stable (skS.0 0 a)) → in_environment (skS.0 0 a) (critical_point (skS.0 0 a))))
% 4.57/4.77 True
% 4.57/4.77 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 4.57/4.77 Eq (And (environment (skS.0 0 a)) (stable (skS.0 0 a)) → in_environment (skS.0 0 a) (critical_point (skS.0 0 a)))
% 4.57/4.77 False
% 4.57/4.77 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (And (environment (skS.0 0 a)) (stable (skS.0 0 a))) True
% 4.57/4.77 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (in_environment (skS.0 0 a) (critical_point (skS.0 0 a))) False
% 4.57/4.77 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (stable (skS.0 0 a)) True
% 4.57/4.77 Clause #9 (by clausification #[6]): ∀ (a : Iota), Eq (environment (skS.0 0 a)) True
% 4.57/4.77 Clause #10 (by clausification #[0]): ∀ (a : Iota),
% 4.57/4.77 Eq
% 4.57/4.77 (∀ (To : Iota),
% 4.57/4.77 And
% 4.57/4.77 (And (And (environment a) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To))))
% 4.57/4.77 (in_environment a To))
% 4.57/4.77 (∀ (T : Iota),
% 4.57/4.77 And (subpopulations first_movers efficient_producers a T) (greater T To) →
% 4.57/4.77 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) →
% 4.57/4.77 Eq To (critical_point a))
% 4.57/4.77 True
% 4.57/4.77 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota),
% 4.57/4.77 Eq
% 4.57/4.77 (And
% 4.57/4.77 (And (And (environment a) (Not (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1))))
% 4.57/4.77 (in_environment a a_1))
% 4.57/4.77 (∀ (T : Iota),
% 4.57/4.77 And (subpopulations first_movers efficient_producers a T) (greater T a_1) →
% 4.57/4.77 greater (growth_rate efficient_producers T) (growth_rate first_movers T)) →
% 4.57/4.77 Eq a_1 (critical_point a))
% 4.57/4.77 True
% 4.57/4.77 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota),
% 4.57/4.77 Or
% 4.57/4.77 (Eq
% 4.57/4.77 (And
% 4.57/4.77 (And (And (environment a) (Not (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1))))
% 4.57/4.77 (in_environment a a_1))
% 4.57/4.77 (∀ (T : Iota),
% 4.57/4.77 And (subpopulations first_movers efficient_producers a T) (greater T a_1) →
% 4.57/4.77 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.57/4.77 False)
% 4.57/4.77 (Eq (Eq a_1 (critical_point a)) True)
% 4.57/4.77 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota),
% 4.57/4.77 Or (Eq (Eq a (critical_point a_1)) True)
% 4.57/4.77 (Or
% 4.57/4.77 (Eq
% 4.57/4.77 (And (And (environment a_1) (Not (greater (growth_rate efficient_producers a) (growth_rate first_movers a))))
% 4.57/4.77 (in_environment a_1 a))
% 4.57/4.77 False)
% 4.57/4.77 (Eq
% 4.57/4.77 (∀ (T : Iota),
% 4.57/4.77 And (subpopulations first_movers efficient_producers a_1 T) (greater T a) →
% 4.57/4.77 greater (growth_rate efficient_producers T) (growth_rate first_movers T))
% 4.57/4.77 False))
% 4.57/4.77 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota),
% 4.57/4.77 Or
% 4.57/4.77 (Eq
% 4.57/4.77 (And (And (environment a) (Not (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1))))
% 4.62/4.79 (in_environment a a_1))
% 4.62/4.79 False)
% 4.62/4.79 (Or
% 4.62/4.79 (Eq
% 4.62/4.79 (∀ (T : Iota),
% 4.62/4.79 And (subpopulations first_movers efficient_producers a T) (greater T a_1) →
% 4.62/4.79 greater (growth_rate efficient_producers T) (growth_rate first_movers T))
% 4.62/4.79 False)
% 4.62/4.79 (Eq a_1 (critical_point a)))
% 4.62/4.79 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota),
% 4.62/4.79 Or
% 4.62/4.79 (Eq
% 4.62/4.79 (∀ (T : Iota),
% 4.62/4.79 And (subpopulations first_movers efficient_producers a T) (greater T a_1) →
% 4.62/4.79 greater (growth_rate efficient_producers T) (growth_rate first_movers T))
% 4.62/4.79 False)
% 4.62/4.79 (Or (Eq a_1 (critical_point a))
% 4.62/4.79 (Or
% 4.62/4.79 (Eq (And (environment a) (Not (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1))))
% 4.62/4.79 False)
% 4.62/4.79 (Eq (in_environment a a_1) False)))
% 4.62/4.79 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.79 Or (Eq a (critical_point a_1))
% 4.62/4.79 (Or
% 4.62/4.79 (Eq (And (environment a_1) (Not (greater (growth_rate efficient_producers a) (growth_rate first_movers a))))
% 4.62/4.79 False)
% 4.62/4.79 (Or (Eq (in_environment a_1 a) False)
% 4.62/4.79 (Eq
% 4.62/4.79 (Not
% 4.62/4.79 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2))
% 4.62/4.79 (greater (skS.0 1 a_1 a a_2) a) →
% 4.62/4.79 greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2))
% 4.62/4.79 (growth_rate first_movers (skS.0 1 a_1 a a_2))))
% 4.62/4.79 True)))
% 4.62/4.79 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.79 Or (Eq a (critical_point a_1))
% 4.62/4.79 (Or (Eq (in_environment a_1 a) False)
% 4.62/4.79 (Or
% 4.62/4.79 (Eq
% 4.62/4.79 (Not
% 4.62/4.79 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2))
% 4.62/4.79 (greater (skS.0 1 a_1 a a_2) a) →
% 4.62/4.79 greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2))
% 4.62/4.79 (growth_rate first_movers (skS.0 1 a_1 a a_2))))
% 4.62/4.79 True)
% 4.62/4.79 (Or (Eq (environment a_1) False)
% 4.62/4.79 (Eq (Not (greater (growth_rate efficient_producers a) (growth_rate first_movers a))) False))))
% 4.62/4.79 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.79 Or (Eq a (critical_point a_1))
% 4.62/4.79 (Or (Eq (in_environment a_1 a) False)
% 4.62/4.79 (Or (Eq (environment a_1) False)
% 4.62/4.79 (Or (Eq (Not (greater (growth_rate efficient_producers a) (growth_rate first_movers a))) False)
% 4.62/4.79 (Eq
% 4.62/4.79 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2))
% 4.62/4.79 (greater (skS.0 1 a_1 a a_2) a) →
% 4.62/4.79 greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2))
% 4.62/4.79 (growth_rate first_movers (skS.0 1 a_1 a a_2)))
% 4.62/4.79 False))))
% 4.62/4.79 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.79 Or (Eq a (critical_point a_1))
% 4.62/4.79 (Or (Eq (in_environment a_1 a) False)
% 4.62/4.79 (Or (Eq (environment a_1) False)
% 4.62/4.79 (Or
% 4.62/4.79 (Eq
% 4.62/4.79 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2))
% 4.62/4.79 (greater (skS.0 1 a_1 a a_2) a) →
% 4.62/4.79 greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2))
% 4.62/4.79 (growth_rate first_movers (skS.0 1 a_1 a a_2)))
% 4.62/4.79 False)
% 4.62/4.79 (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True))))
% 4.62/4.79 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.79 Or (Eq a (critical_point a_1))
% 4.62/4.79 (Or (Eq (in_environment a_1 a) False)
% 4.62/4.79 (Or (Eq (environment a_1) False)
% 4.62/4.79 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)
% 4.62/4.79 (Eq
% 4.62/4.79 (And (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2))
% 4.62/4.79 (greater (skS.0 1 a_1 a a_2) a))
% 4.62/4.79 True))))
% 4.62/4.79 Clause #21 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.79 Or (Eq a (critical_point a_1))
% 4.62/4.79 (Or (Eq (in_environment a_1 a) False)
% 4.62/4.79 (Or (Eq (environment a_1) False)
% 4.62/4.79 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)
% 4.62/4.79 (Eq
% 4.62/4.79 (greater (growth_rate efficient_producers (skS.0 1 a_1 a a_2))
% 4.62/4.81 (growth_rate first_movers (skS.0 1 a_1 a a_2)))
% 4.62/4.81 False))))
% 4.62/4.81 Clause #22 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.81 Or (Eq a (critical_point a_1))
% 4.62/4.81 (Or (Eq (in_environment a_1 a) False)
% 4.62/4.81 (Or (Eq (environment a_1) False)
% 4.62/4.81 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)
% 4.62/4.81 (Eq (greater (skS.0 1 a_1 a a_2) a) True))))
% 4.62/4.81 Clause #23 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.81 Or (Eq a (critical_point a_1))
% 4.62/4.81 (Or (Eq (in_environment a_1 a) False)
% 4.62/4.81 (Or (Eq (environment a_1) False)
% 4.62/4.81 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)
% 4.62/4.81 (Eq (subpopulations first_movers efficient_producers a_1 (skS.0 1 a_1 a a_2)) True))))
% 4.62/4.81 Clause #24 (by clausification #[1]): ∀ (a : Iota),
% 4.62/4.81 Eq
% 4.62/4.81 (And (environment a) (stable a) →
% 4.62/4.81 Exists fun To =>
% 4.62/4.81 And
% 4.62/4.81 (And (in_environment a To) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To))))
% 4.62/4.81 (∀ (T : Iota),
% 4.62/4.81 And (subpopulations first_movers efficient_producers a T) (greater T To) →
% 4.62/4.81 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.62/4.81 True
% 4.62/4.81 Clause #25 (by clausification #[24]): ∀ (a : Iota),
% 4.62/4.81 Or (Eq (And (environment a) (stable a)) False)
% 4.62/4.81 (Eq
% 4.62/4.81 (Exists fun To =>
% 4.62/4.81 And
% 4.62/4.81 (And (in_environment a To) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To))))
% 4.62/4.81 (∀ (T : Iota),
% 4.62/4.81 And (subpopulations first_movers efficient_producers a T) (greater T To) →
% 4.62/4.81 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.62/4.81 True)
% 4.62/4.81 Clause #26 (by clausification #[25]): ∀ (a : Iota),
% 4.62/4.81 Or
% 4.62/4.81 (Eq
% 4.62/4.81 (Exists fun To =>
% 4.62/4.81 And
% 4.62/4.81 (And (in_environment a To) (Not (greater (growth_rate efficient_producers To) (growth_rate first_movers To))))
% 4.62/4.81 (∀ (T : Iota),
% 4.62/4.81 And (subpopulations first_movers efficient_producers a T) (greater T To) →
% 4.62/4.81 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.62/4.81 True)
% 4.62/4.81 (Or (Eq (environment a) False) (Eq (stable a) False))
% 4.62/4.81 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota),
% 4.62/4.81 Or (Eq (environment a) False)
% 4.62/4.81 (Or (Eq (stable a) False)
% 4.62/4.81 (Eq
% 4.62/4.81 (And
% 4.62/4.81 (And (in_environment a (skS.0 2 a a_1))
% 4.62/4.81 (Not
% 4.62/4.81 (greater (growth_rate efficient_producers (skS.0 2 a a_1)) (growth_rate first_movers (skS.0 2 a a_1)))))
% 4.62/4.81 (∀ (T : Iota),
% 4.62/4.81 And (subpopulations first_movers efficient_producers a T) (greater T (skS.0 2 a a_1)) →
% 4.62/4.81 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.62/4.81 True))
% 4.62/4.81 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota),
% 4.62/4.81 Or (Eq (environment a) False)
% 4.62/4.81 (Or (Eq (stable a) False)
% 4.62/4.81 (Eq
% 4.62/4.81 (∀ (T : Iota),
% 4.62/4.81 And (subpopulations first_movers efficient_producers a T) (greater T (skS.0 2 a a_1)) →
% 4.62/4.81 greater (growth_rate efficient_producers T) (growth_rate first_movers T))
% 4.62/4.81 True))
% 4.62/4.81 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota),
% 4.62/4.81 Or (Eq (environment a) False)
% 4.62/4.81 (Or (Eq (stable a) False)
% 4.62/4.81 (Eq
% 4.62/4.81 (And (in_environment a (skS.0 2 a a_1))
% 4.62/4.81 (Not (greater (growth_rate efficient_producers (skS.0 2 a a_1)) (growth_rate first_movers (skS.0 2 a a_1)))))
% 4.62/4.81 True))
% 4.62/4.81 Clause #30 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.81 Or (Eq (environment a) False)
% 4.62/4.81 (Or (Eq (stable a) False)
% 4.62/4.81 (Eq
% 4.62/4.81 (And (subpopulations first_movers efficient_producers a a_1) (greater a_1 (skS.0 2 a a_2)) →
% 4.62/4.81 greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1))
% 4.62/4.81 True))
% 4.62/4.81 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.81 Or (Eq (environment a) False)
% 4.62/4.81 (Or (Eq (stable a) False)
% 4.62/4.81 (Or (Eq (And (subpopulations first_movers efficient_producers a a_1) (greater a_1 (skS.0 2 a a_2))) False)
% 4.62/4.81 (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True)))
% 4.62/4.83 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.83 Or (Eq (environment a) False)
% 4.62/4.83 (Or (Eq (stable a) False)
% 4.62/4.83 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True)
% 4.62/4.83 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 4.62/4.83 (Eq (greater a_1 (skS.0 2 a a_2)) False))))
% 4.62/4.83 Clause #33 (by superposition #[32, 9]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.83 Or (Eq (stable (skS.0 0 a)) False)
% 4.62/4.83 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True)
% 4.62/4.83 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.62/4.83 (Or (Eq (greater a_1 (skS.0 2 (skS.0 0 a) a_2)) False) (Eq False True))))
% 4.62/4.83 Clause #34 (by clausification #[29]): ∀ (a a_1 : Iota),
% 4.62/4.83 Or (Eq (environment a) False)
% 4.62/4.83 (Or (Eq (stable a) False)
% 4.62/4.83 (Eq (Not (greater (growth_rate efficient_producers (skS.0 2 a a_1)) (growth_rate first_movers (skS.0 2 a a_1))))
% 4.62/4.83 True))
% 4.62/4.83 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))
% 4.62/4.83 Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota),
% 4.62/4.83 Or (Eq (environment a) False)
% 4.62/4.83 (Or (Eq (stable a) False)
% 4.62/4.83 (Eq (greater (growth_rate efficient_producers (skS.0 2 a a_1)) (growth_rate first_movers (skS.0 2 a a_1))) False))
% 4.62/4.83 Clause #37 (by superposition #[36, 9]): ∀ (a a_1 : Iota),
% 4.62/4.83 Or (Eq (stable (skS.0 0 a)) False)
% 4.62/4.83 (Or
% 4.62/4.83 (Eq
% 4.62/4.83 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.62/4.83 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.62/4.83 False)
% 4.62/4.83 (Eq False True))
% 4.62/4.83 Clause #38 (by superposition #[35, 9]): ∀ (a a_1 : Iota),
% 4.62/4.83 Or (Eq (stable (skS.0 0 a)) False)
% 4.62/4.83 (Or (Eq (in_environment (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1)) True) (Eq False True))
% 4.62/4.83 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)
% 4.62/4.83 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)
% 4.62/4.83 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
% 4.62/4.83 Clause #42 (by superposition #[41, 22]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.83 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.62/4.83 (Or (Eq True False)
% 4.62/4.83 (Or (Eq (environment (skS.0 0 a)) False)
% 4.62/4.83 (Or
% 4.62/4.83 (Eq
% 4.62/4.83 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.62/4.83 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.62/4.83 True)
% 4.62/4.83 (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))))
% 4.62/4.83 Clause #43 (by superposition #[41, 21]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.83 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.62/4.83 (Or (Eq True False)
% 4.62/4.83 (Or (Eq (environment (skS.0 0 a)) False)
% 4.62/4.83 (Or
% 4.62/4.83 (Eq
% 4.62/4.83 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.62/4.83 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.62/4.83 True)
% 4.62/4.83 (Eq
% 4.62/4.83 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.62/4.83 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.62/4.83 False))))
% 4.62/4.83 Clause #44 (by superposition #[41, 23]): ∀ (a a_1 a_2 : Iota),
% 4.62/4.83 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.62/4.83 (Or (Eq True False)
% 4.62/4.83 (Or (Eq (environment (skS.0 0 a)) False)
% 4.62/4.83 (Or
% 4.62/4.83 (Eq
% 4.62/4.83 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.62/4.83 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.62/4.83 True)
% 4.62/4.83 (Eq
% 4.62/4.83 (subpopulations first_movers efficient_producers (skS.0 0 a)
% 4.62/4.83 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.62/4.83 True))))
% 4.62/4.83 Clause #45 (by clausification #[37]): ∀ (a a_1 : Iota),
% 4.68/4.85 Or (Eq (stable (skS.0 0 a)) False)
% 4.68/4.85 (Eq
% 4.68/4.85 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.68/4.85 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.68/4.85 False)
% 4.68/4.85 Clause #46 (by forward demodulation #[45, 8]): ∀ (a a_1 : Iota),
% 4.68/4.85 Or (Eq True False)
% 4.68/4.85 (Eq
% 4.68/4.85 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.68/4.85 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.68/4.85 False)
% 4.68/4.85 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota),
% 4.68/4.85 Eq
% 4.68/4.85 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.68/4.85 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.68/4.85 False
% 4.68/4.85 Clause #48 (by clausification #[33]): ∀ (a a_1 a_2 : Iota),
% 4.68/4.85 Or (Eq (stable (skS.0 0 a)) False)
% 4.68/4.85 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True)
% 4.68/4.85 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.68/4.85 (Eq (greater a_1 (skS.0 2 (skS.0 0 a) a_2)) False)))
% 4.68/4.85 Clause #49 (by forward demodulation #[48, 8]): ∀ (a a_1 a_2 : Iota),
% 4.68/4.85 Or (Eq True False)
% 4.68/4.85 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)
% 4.68/4.85 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a_1) a) False)
% 4.68/4.85 (Eq (greater a (skS.0 2 (skS.0 0 a_1) a_2)) False)))
% 4.68/4.85 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 4.68/4.85 Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)
% 4.68/4.85 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a_1) a) False)
% 4.68/4.85 (Eq (greater a (skS.0 2 (skS.0 0 a_1) a_2)) False))
% 4.68/4.85 Clause #51 (by clausification #[44]): ∀ (a a_1 a_2 : Iota),
% 4.68/4.85 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.68/4.85 (Or (Eq (environment (skS.0 0 a)) False)
% 4.68/4.85 (Or
% 4.68/4.85 (Eq
% 4.68/4.85 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.68/4.85 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.68/4.85 True)
% 4.68/4.85 (Eq
% 4.68/4.85 (subpopulations first_movers efficient_producers (skS.0 0 a)
% 4.68/4.85 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.68/4.85 True)))
% 4.68/4.85 Clause #52 (by forward demodulation #[51, 9]): ∀ (a a_1 a_2 : Iota),
% 4.68/4.85 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.68/4.85 (Or (Eq True False)
% 4.68/4.85 (Or
% 4.68/4.85 (Eq
% 4.68/4.85 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.68/4.85 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.68/4.85 True)
% 4.68/4.85 (Eq
% 4.68/4.85 (subpopulations first_movers efficient_producers (skS.0 0 a)
% 4.68/4.85 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.68/4.85 True)))
% 4.68/4.85 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota),
% 4.68/4.85 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.68/4.85 (Or
% 4.68/4.85 (Eq
% 4.68/4.85 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.68/4.85 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.68/4.85 True)
% 4.68/4.85 (Eq
% 4.68/4.85 (subpopulations first_movers efficient_producers (skS.0 0 a)
% 4.68/4.85 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.68/4.85 True))
% 4.68/4.85 Clause #54 (by superposition #[53, 47]): ∀ (a a_1 a_2 : Iota),
% 4.68/4.85 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.68/4.85 (Or
% 4.68/4.85 (Eq
% 4.68/4.85 (subpopulations first_movers efficient_producers (skS.0 0 a)
% 4.68/4.85 (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.68/4.85 True)
% 4.68/4.85 (Eq True False))
% 4.68/4.85 Clause #56 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 4.68/4.85 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.68/4.85 (Eq
% 4.68/4.85 (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))
% 4.68/4.85 True)
% 4.68/4.85 Clause #57 (by superposition #[56, 50]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.68/4.85 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.68/4.85 (Or
% 4.68/4.85 (Eq
% 4.68/4.85 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.68/4.85 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.68/4.85 True)
% 4.69/4.88 (Or (Eq True False)
% 4.69/4.88 (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)))
% 4.69/4.88 Clause #58 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (Or (Eq (environment (skS.0 0 a)) False)
% 4.69/4.88 (Or
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.69/4.88 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.69/4.88 True)
% 4.69/4.88 (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)))
% 4.69/4.88 Clause #59 (by forward demodulation #[58, 9]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (Or (Eq True False)
% 4.69/4.88 (Or
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.69/4.88 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.69/4.88 True)
% 4.69/4.88 (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)))
% 4.69/4.88 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (Or
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.69/4.88 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.69/4.88 True)
% 4.69/4.88 (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))
% 4.69/4.88 Clause #61 (by forward demodulation #[60, 47]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (Or (Eq False True)
% 4.69/4.88 (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))
% 4.69/4.88 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (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)
% 4.69/4.88 Clause #63 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (Or (Eq (environment (skS.0 0 a)) False)
% 4.69/4.88 (Or
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.69/4.88 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.69/4.88 True)
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.88 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.88 False)))
% 4.69/4.88 Clause #64 (by forward demodulation #[63, 9]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (Or (Eq True False)
% 4.69/4.88 (Or
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.69/4.88 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.69/4.88 True)
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.88 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.88 False)))
% 4.69/4.88 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (Or
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 2 (skS.0 0 a) a_1))
% 4.69/4.88 (growth_rate first_movers (skS.0 2 (skS.0 0 a) a_1)))
% 4.69/4.88 True)
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.88 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.88 False))
% 4.69/4.88 Clause #66 (by forward demodulation #[65, 47]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.88 (Or (Eq False True)
% 4.69/4.88 (Eq
% 4.69/4.88 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.88 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.88 False))
% 4.69/4.88 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.88 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.89 (Eq
% 4.69/4.89 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.89 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.89 False)
% 4.69/4.89 Clause #68 (by clausification #[57]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.69/4.89 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.89 (Or
% 4.69/4.89 (Eq
% 4.69/4.89 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.89 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.89 True)
% 4.69/4.89 (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))
% 4.69/4.89 Clause #69 (by superposition #[68, 62]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.89 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.89 (Or
% 4.69/4.89 (Eq
% 4.69/4.89 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.89 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.89 True)
% 4.69/4.89 (Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) (Eq False True)))
% 4.69/4.89 Clause #72 (by clausification #[69]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.89 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.89 (Or
% 4.69/4.89 (Eq
% 4.69/4.89 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.89 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.89 True)
% 4.69/4.89 (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))))
% 4.69/4.89 Clause #73 (by eliminate duplicate literals #[72]): ∀ (a a_1 a_2 : Iota),
% 4.69/4.89 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.89 (Eq
% 4.69/4.89 (greater (growth_rate efficient_producers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2))
% 4.69/4.89 (growth_rate first_movers (skS.0 1 (skS.0 0 a) (skS.0 2 (skS.0 0 a) a_1) a_2)))
% 4.69/4.89 True)
% 4.69/4.89 Clause #74 (by superposition #[73, 67]): ∀ (a a_1 : Iota),
% 4.69/4.89 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.89 (Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a))) (Eq True False))
% 4.69/4.89 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota),
% 4.69/4.89 Or (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.89 (Eq (skS.0 2 (skS.0 0 a) a_1) (critical_point (skS.0 0 a)))
% 4.69/4.89 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))
% 4.69/4.89 Clause #77 (by backward demodulation #[76, 41]): ∀ (a : Iota), Eq (in_environment (skS.0 0 a) (critical_point (skS.0 0 a))) True
% 4.69/4.89 Clause #84 (by superposition #[77, 7]): Eq True False
% 4.69/4.89 Clause #85 (by clausification #[84]): False
% 4.69/4.89 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------