TSTP Solution File: MGT021+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : MGT021+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 3.88s 4.08s
% Output : Proof 3.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT021+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 06:25:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.88/4.08 SZS status Theorem for theBenchmark.p
% 3.88/4.08 SZS output start Proof for theBenchmark.p
% 3.88/4.08 Clause #0 (by assumption #[]): Eq (∀ (E T : Iota), And (environment E) (subpopulations first_movers efficient_producers E T) → in_environment E T) True
% 3.88/4.08 Clause #1 (by assumption #[]): Eq
% 3.88/4.08 (∀ (E T : Iota),
% 3.88/4.08 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 3.88/4.08 greater (number_of_organizations E T) zero)
% 3.88/4.08 True
% 3.88/4.08 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), increases X → Not (decreases X)) True
% 3.88/4.08 Clause #4 (by assumption #[]): Eq
% 3.88/4.08 (∀ (E T : Iota),
% 3.88/4.08 And (And (environment E) (in_environment E T)) (greater (number_of_organizations E T) zero) →
% 3.88/4.08 And (greater (equilibrium E) T → decreases (resources E T))
% 3.88/4.08 (Not (greater (equilibrium E) T) → constant (resources E T)))
% 3.88/4.08 True
% 3.88/4.08 Clause #5 (by assumption #[]): Eq
% 3.88/4.08 (∀ (E T : Iota),
% 3.88/4.08 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 3.88/4.08 And
% 3.88/4.08 (decreases (resources E T) →
% 3.88/4.08 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))
% 3.88/4.08 (constant (resources E T) →
% 3.88/4.08 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))
% 3.88/4.08 True
% 3.88/4.08 Clause #6 (by assumption #[]): Eq
% 3.88/4.08 (Not
% 3.88/4.08 (∀ (E T : Iota),
% 3.88/4.08 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 3.88/4.08 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))
% 3.88/4.08 True
% 3.88/4.08 Clause #7 (by clausification #[2]): ∀ (a : Iota), Eq (increases a → Not (decreases a)) True
% 3.88/4.08 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (increases a) False) (Eq (Not (decreases a)) True)
% 3.88/4.08 Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (increases a) False) (Eq (decreases a) False)
% 3.88/4.08 Clause #10 (by clausification #[0]): ∀ (a : Iota),
% 3.88/4.08 Eq (∀ (T : Iota), And (environment a) (subpopulations first_movers efficient_producers a T) → in_environment a T) True
% 3.88/4.08 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota),
% 3.88/4.08 Eq (And (environment a) (subpopulations first_movers efficient_producers a a_1) → in_environment a a_1) True
% 3.88/4.08 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota),
% 3.88/4.08 Or (Eq (And (environment a) (subpopulations first_movers efficient_producers a a_1)) False)
% 3.88/4.08 (Eq (in_environment a a_1) True)
% 3.88/4.08 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota),
% 3.88/4.08 Or (Eq (in_environment a a_1) True)
% 3.88/4.08 (Or (Eq (environment a) False) (Eq (subpopulations first_movers efficient_producers a a_1) False))
% 3.88/4.08 Clause #14 (by clausification #[1]): ∀ (a : Iota),
% 3.88/4.08 Eq
% 3.88/4.08 (∀ (T : Iota),
% 3.88/4.08 And (environment a) (subpopulations first_movers efficient_producers a T) →
% 3.88/4.08 greater (number_of_organizations a T) zero)
% 3.88/4.08 True
% 3.88/4.08 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota),
% 3.88/4.08 Eq
% 3.88/4.08 (And (environment a) (subpopulations first_movers efficient_producers a a_1) →
% 3.88/4.08 greater (number_of_organizations a a_1) zero)
% 3.88/4.08 True
% 3.88/4.08 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 3.88/4.08 Or (Eq (And (environment a) (subpopulations first_movers efficient_producers a a_1)) False)
% 3.88/4.08 (Eq (greater (number_of_organizations a a_1) zero) True)
% 3.88/4.08 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.88/4.08 Or (Eq (greater (number_of_organizations a a_1) zero) True)
% 3.88/4.08 (Or (Eq (environment a) False) (Eq (subpopulations first_movers efficient_producers a a_1) False))
% 3.88/4.08 Clause #23 (by clausification #[6]): Eq
% 3.88/4.08 (∀ (E T : Iota),
% 3.88/4.08 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 3.88/4.08 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))
% 3.88/4.08 False
% 3.88/4.08 Clause #24 (by clausification #[23]): ∀ (a : Iota),
% 3.88/4.08 Eq
% 3.88/4.08 (Not
% 3.88/4.08 (∀ (T : Iota),
% 3.88/4.08 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) →
% 3.88/4.08 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))
% 3.88/4.08 True
% 3.88/4.08 Clause #25 (by clausification #[24]): ∀ (a : Iota),
% 3.88/4.08 Eq
% 3.88/4.09 (∀ (T : Iota),
% 3.88/4.09 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) →
% 3.88/4.09 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))
% 3.88/4.09 False
% 3.88/4.09 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota),
% 3.88/4.09 Eq
% 3.88/4.09 (Not
% 3.88/4.09 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.88/4.09 Not
% 3.88/4.09 (decreases
% 3.88/4.09 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.88/4.09 (disbanding_rate efficient_producers (skS.0 1 a a_1))))))
% 3.88/4.09 True
% 3.88/4.09 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota),
% 3.88/4.09 Eq
% 3.88/4.09 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.88/4.09 Not
% 3.88/4.09 (decreases
% 3.88/4.09 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.88/4.09 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))
% 3.88/4.09 False
% 3.88/4.09 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota),
% 3.88/4.09 Eq (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.88/4.09 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota),
% 3.88/4.09 Eq
% 3.88/4.09 (Not
% 3.88/4.09 (decreases
% 3.88/4.09 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.88/4.09 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))
% 3.88/4.09 False
% 3.88/4.09 Clause #30 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.88/4.09 Clause #31 (by clausification #[28]): ∀ (a : Iota), Eq (environment (skS.0 0 a)) True
% 3.88/4.09 Clause #32 (by clausification #[4]): ∀ (a : Iota),
% 3.88/4.09 Eq
% 3.88/4.09 (∀ (T : Iota),
% 3.88/4.09 And (And (environment a) (in_environment a T)) (greater (number_of_organizations a T) zero) →
% 3.88/4.09 And (greater (equilibrium a) T → decreases (resources a T))
% 3.88/4.09 (Not (greater (equilibrium a) T) → constant (resources a T)))
% 3.88/4.09 True
% 3.88/4.09 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota),
% 3.88/4.09 Eq
% 3.88/4.09 (And (And (environment a) (in_environment a a_1)) (greater (number_of_organizations a a_1) zero) →
% 3.88/4.09 And (greater (equilibrium a) a_1 → decreases (resources a a_1))
% 3.88/4.09 (Not (greater (equilibrium a) a_1) → constant (resources a a_1)))
% 3.88/4.09 True
% 3.88/4.09 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 3.88/4.09 Or (Eq (And (And (environment a) (in_environment a a_1)) (greater (number_of_organizations a a_1) zero)) False)
% 3.88/4.09 (Eq
% 3.88/4.09 (And (greater (equilibrium a) a_1 → decreases (resources a a_1))
% 3.88/4.09 (Not (greater (equilibrium a) a_1) → constant (resources a a_1)))
% 3.88/4.09 True)
% 3.88/4.09 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 3.88/4.09 Or
% 3.88/4.09 (Eq
% 3.88/4.09 (And (greater (equilibrium a) a_1 → decreases (resources a a_1))
% 3.88/4.09 (Not (greater (equilibrium a) a_1) → constant (resources a a_1)))
% 3.88/4.09 True)
% 3.88/4.09 (Or (Eq (And (environment a) (in_environment a a_1)) False)
% 3.88/4.09 (Eq (greater (number_of_organizations a a_1) zero) False))
% 3.88/4.09 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 3.88/4.09 Or (Eq (And (environment a) (in_environment a a_1)) False)
% 3.88/4.09 (Or (Eq (greater (number_of_organizations a a_1) zero) False)
% 3.88/4.09 (Eq (Not (greater (equilibrium a) a_1) → constant (resources a a_1)) True))
% 3.88/4.09 Clause #37 (by clausification #[35]): ∀ (a a_1 : Iota),
% 3.88/4.09 Or (Eq (And (environment a) (in_environment a a_1)) False)
% 3.88/4.09 (Or (Eq (greater (number_of_organizations a a_1) zero) False)
% 3.88/4.09 (Eq (greater (equilibrium a) a_1 → decreases (resources a a_1)) True))
% 3.88/4.09 Clause #38 (by clausification #[36]): ∀ (a a_1 : Iota),
% 3.88/4.09 Or (Eq (greater (number_of_organizations a a_1) zero) False)
% 3.88/4.09 (Or (Eq (Not (greater (equilibrium a) a_1) → constant (resources a a_1)) True)
% 3.88/4.09 (Or (Eq (environment a) False) (Eq (in_environment a a_1) False)))
% 3.88/4.09 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota),
% 3.88/4.09 Or (Eq (greater (number_of_organizations a a_1) zero) False)
% 3.88/4.09 (Or (Eq (environment a) False)
% 3.88/4.09 (Or (Eq (in_environment a a_1) False)
% 3.88/4.09 (Or (Eq (Not (greater (equilibrium a) a_1)) False) (Eq (constant (resources a a_1)) True))))
% 3.88/4.11 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or (Eq (greater (number_of_organizations a a_1) zero) False)
% 3.88/4.11 (Or (Eq (environment a) False)
% 3.88/4.11 (Or (Eq (in_environment a a_1) False)
% 3.88/4.11 (Or (Eq (constant (resources a a_1)) True) (Eq (greater (equilibrium a) a_1) True))))
% 3.88/4.11 Clause #41 (by superposition #[31, 13]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or (Eq (in_environment (skS.0 0 a) a_1) True)
% 3.88/4.11 (Or (Eq True False) (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False))
% 3.88/4.11 Clause #42 (by superposition #[31, 17]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or (Eq (greater (number_of_organizations (skS.0 0 a) a_1) zero) True)
% 3.88/4.11 (Or (Eq True False) (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False))
% 3.88/4.11 Clause #43 (by clausification #[37]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or (Eq (greater (number_of_organizations a a_1) zero) False)
% 3.88/4.11 (Or (Eq (greater (equilibrium a) a_1 → decreases (resources a a_1)) True)
% 3.88/4.11 (Or (Eq (environment a) False) (Eq (in_environment a a_1) False)))
% 3.88/4.11 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or (Eq (greater (number_of_organizations a a_1) zero) False)
% 3.88/4.11 (Or (Eq (environment a) False)
% 3.88/4.11 (Or (Eq (in_environment a a_1) False)
% 3.88/4.11 (Or (Eq (greater (equilibrium a) a_1) False) (Eq (decreases (resources a a_1)) True))))
% 3.88/4.11 Clause #45 (by clausification #[41]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or (Eq (in_environment (skS.0 0 a) a_1) True)
% 3.88/4.11 (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.88/4.11 Clause #46 (by superposition #[45, 30]): ∀ (a a_1 : Iota), Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq False True)
% 3.88/4.11 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.88/4.11 Clause #48 (by clausification #[42]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or (Eq (greater (number_of_organizations (skS.0 0 a) a_1) zero) True)
% 3.88/4.11 (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.88/4.11 Clause #49 (by superposition #[48, 30]): ∀ (a a_1 : Iota), Or (Eq (greater (number_of_organizations (skS.0 0 a) (skS.0 1 a a_1)) zero) True) (Eq False True)
% 3.88/4.11 Clause #50 (by clausification #[5]): ∀ (a : Iota),
% 3.88/4.11 Eq
% 3.88/4.11 (∀ (T : Iota),
% 3.88/4.11 And (environment a) (subpopulations first_movers efficient_producers a T) →
% 3.88/4.11 And
% 3.88/4.11 (decreases (resources a T) →
% 3.88/4.11 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))
% 3.88/4.11 (constant (resources a T) →
% 3.88/4.11 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))
% 3.88/4.11 True
% 3.88/4.11 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota),
% 3.88/4.11 Eq
% 3.88/4.11 (And (environment a) (subpopulations first_movers efficient_producers a a_1) →
% 3.88/4.11 And
% 3.88/4.11 (decreases (resources a a_1) →
% 3.88/4.11 increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))
% 3.88/4.11 (constant (resources a a_1) →
% 3.88/4.11 Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))))
% 3.88/4.11 True
% 3.88/4.11 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or (Eq (And (environment a) (subpopulations first_movers efficient_producers a a_1)) False)
% 3.88/4.11 (Eq
% 3.88/4.11 (And
% 3.88/4.11 (decreases (resources a a_1) →
% 3.88/4.11 increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))
% 3.88/4.11 (constant (resources a a_1) →
% 3.88/4.11 Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))))
% 3.88/4.11 True)
% 3.88/4.11 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota),
% 3.88/4.11 Or
% 3.88/4.11 (Eq
% 3.88/4.11 (And
% 3.88/4.11 (decreases (resources a a_1) →
% 3.88/4.11 increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))
% 3.88/4.11 (constant (resources a a_1) →
% 3.88/4.11 Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))))
% 3.88/4.11 True)
% 3.88/4.11 (Or (Eq (environment a) False) (Eq (subpopulations first_movers efficient_producers a a_1) False))
% 3.88/4.11 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (environment a) False)
% 3.98/4.13 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.98/4.13 (Eq
% 3.98/4.13 (constant (resources a a_1) →
% 3.98/4.13 Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))))
% 3.98/4.13 True))
% 3.98/4.13 Clause #55 (by clausification #[53]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (environment a) False)
% 3.98/4.13 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.98/4.13 (Eq
% 3.98/4.13 (decreases (resources a a_1) →
% 3.98/4.13 increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))
% 3.98/4.13 True))
% 3.98/4.13 Clause #56 (by clausification #[54]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (environment a) False)
% 3.98/4.13 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.98/4.13 (Or (Eq (constant (resources a a_1)) False)
% 3.98/4.13 (Eq (Not (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))))
% 3.98/4.13 True)))
% 3.98/4.13 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (environment a) False)
% 3.98/4.13 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.98/4.13 (Or (Eq (constant (resources a a_1)) False)
% 3.98/4.13 (Eq (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))
% 3.98/4.13 False)))
% 3.98/4.13 Clause #58 (by superposition #[57, 31]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.98/4.13 (Or (Eq (constant (resources (skS.0 0 a) a_1)) False)
% 3.98/4.13 (Or
% 3.98/4.13 (Eq (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) False)
% 3.98/4.13 (Eq False True)))
% 3.98/4.13 Clause #59 (by clausification #[55]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (environment a) False)
% 3.98/4.13 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.98/4.13 (Or (Eq (decreases (resources a a_1)) False)
% 3.98/4.13 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))
% 3.98/4.13 True)))
% 3.98/4.13 Clause #60 (by superposition #[59, 31]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.98/4.13 (Or (Eq (decreases (resources (skS.0 0 a) a_1)) False)
% 3.98/4.13 (Or
% 3.98/4.13 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)
% 3.98/4.13 (Eq False True)))
% 3.98/4.13 Clause #61 (by clausification #[49]): ∀ (a a_1 : Iota), Eq (greater (number_of_organizations (skS.0 0 a) (skS.0 1 a a_1)) zero) True
% 3.98/4.13 Clause #62 (by superposition #[61, 40]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq True False)
% 3.98/4.13 (Or (Eq (environment (skS.0 0 a)) False)
% 3.98/4.13 (Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.98/4.13 (Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.98/4.13 (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True))))
% 3.98/4.13 Clause #63 (by superposition #[61, 44]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq True False)
% 3.98/4.13 (Or (Eq (environment (skS.0 0 a)) False)
% 3.98/4.13 (Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.98/4.13 (Or (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) False)
% 3.98/4.13 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True))))
% 3.98/4.13 Clause #64 (by clausification #[29]): ∀ (a a_1 : Iota),
% 3.98/4.13 Eq
% 3.98/4.13 (decreases
% 3.98/4.13 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.13 True
% 3.98/4.13 Clause #65 (by clausification #[58]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.98/4.13 (Or (Eq (constant (resources (skS.0 0 a) a_1)) False)
% 3.98/4.13 (Eq (decreases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) False))
% 3.98/4.13 Clause #66 (by superposition #[65, 30]): ∀ (a a_1 : Iota),
% 3.98/4.13 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.98/4.13 (Or
% 3.98/4.13 (Eq
% 3.98/4.13 (decreases
% 3.98/4.13 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.98/4.13 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.13 False)
% 3.98/4.15 (Eq False True))
% 3.98/4.15 Clause #67 (by clausification #[60]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.98/4.15 (Or (Eq (decreases (resources (skS.0 0 a) a_1)) False)
% 3.98/4.15 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True))
% 3.98/4.15 Clause #68 (by superposition #[67, 30]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.98/4.15 (Or
% 3.98/4.15 (Eq
% 3.98/4.15 (increases
% 3.98/4.15 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.98/4.15 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.15 True)
% 3.98/4.15 (Eq False True))
% 3.98/4.15 Clause #69 (by clausification #[62]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq (environment (skS.0 0 a)) False)
% 3.98/4.15 (Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.98/4.15 (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True)))
% 3.98/4.15 Clause #70 (by forward demodulation #[69, 31]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq True False)
% 3.98/4.15 (Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.98/4.15 (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True)))
% 3.98/4.15 Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.98/4.15 (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True))
% 3.98/4.15 Clause #72 (by forward demodulation #[71, 47]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq True False)
% 3.98/4.15 (Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.98/4.15 (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True))
% 3.98/4.15 Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.98/4.15 (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True)
% 3.98/4.15 Clause #74 (by clausification #[66]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.98/4.15 (Eq
% 3.98/4.15 (decreases
% 3.98/4.15 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.98/4.15 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.15 False)
% 3.98/4.15 Clause #75 (by superposition #[74, 73]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or
% 3.98/4.15 (Eq
% 3.98/4.15 (decreases
% 3.98/4.15 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.98/4.15 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.15 False)
% 3.98/4.15 (Or (Eq False True) (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True))
% 3.98/4.15 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or
% 3.98/4.15 (Eq
% 3.98/4.15 (decreases
% 3.98/4.15 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.98/4.15 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.15 False)
% 3.98/4.15 (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True)
% 3.98/4.15 Clause #77 (by superposition #[76, 64]): ∀ (a a_1 : Iota), Or (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True) (Eq False True)
% 3.98/4.15 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) True
% 3.98/4.15 Clause #81 (by clausification #[63]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq (environment (skS.0 0 a)) False)
% 3.98/4.15 (Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Or (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True)))
% 3.98/4.15 Clause #82 (by forward demodulation #[81, 31]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq True False)
% 3.98/4.15 (Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Or (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True)))
% 3.98/4.15 Clause #83 (by clausification #[82]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq (in_environment (skS.0 0 a) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Or (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) False)
% 3.98/4.15 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True))
% 3.98/4.15 Clause #84 (by forward demodulation #[83, 47]): ∀ (a a_1 : Iota),
% 3.98/4.15 Or (Eq True False)
% 3.98/4.16 (Or (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) False)
% 3.98/4.16 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True))
% 3.98/4.16 Clause #85 (by clausification #[84]): ∀ (a a_1 : Iota),
% 3.98/4.16 Or (Eq (greater (equilibrium (skS.0 0 a)) (skS.0 1 a a_1)) False)
% 3.98/4.16 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.98/4.16 Clause #86 (by forward demodulation #[85, 78]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.98/4.16 Clause #87 (by clausification #[86]): ∀ (a a_1 : Iota), Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.98/4.16 Clause #88 (by clausification #[68]): ∀ (a a_1 : Iota),
% 3.98/4.16 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.98/4.16 (Eq
% 3.98/4.16 (increases
% 3.98/4.16 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.98/4.16 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.16 True)
% 3.98/4.16 Clause #89 (by forward demodulation #[88, 87]): ∀ (a a_1 : Iota),
% 3.98/4.16 Or (Eq True False)
% 3.98/4.16 (Eq
% 3.98/4.16 (increases
% 3.98/4.16 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.98/4.16 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.16 True)
% 3.98/4.16 Clause #90 (by clausification #[89]): ∀ (a a_1 : Iota),
% 3.98/4.16 Eq
% 3.98/4.16 (increases
% 3.98/4.16 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.16 True
% 3.98/4.16 Clause #91 (by superposition #[90, 9]): ∀ (a a_1 : Iota),
% 3.98/4.16 Or (Eq True False)
% 3.98/4.16 (Eq
% 3.98/4.16 (decreases
% 3.98/4.16 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.98/4.16 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.16 False)
% 3.98/4.16 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota),
% 3.98/4.16 Eq
% 3.98/4.16 (decreases
% 3.98/4.16 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.98/4.16 False
% 3.98/4.16 Clause #93 (by superposition #[92, 64]): Eq False True
% 3.98/4.16 Clause #94 (by clausification #[93]): False
% 3.98/4.16 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------