TSTP Solution File: MGT032+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 09:10:03 EDT 2023
% Result : Theorem 4.36s 4.62s
% Output : Proof 4.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.10 % Command : duper %s
% 0.11/0.29 % Computer : n008.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon Aug 28 06:38:02 EDT 2023
% 0.11/0.30 % CPUTime :
% 4.36/4.62 SZS status Theorem for theBenchmark.p
% 4.36/4.62 SZS output start Proof for theBenchmark.p
% 4.36/4.62 Clause #0 (by assumption #[]): Eq
% 4.36/4.62 (∀ (E S1 S2 T : Iota),
% 4.36/4.62 And (And (environment E) (subpopulations S1 S2 E T)) (greater (growth_rate S2 T) (growth_rate S1 T)) →
% 4.36/4.62 selection_favors S2 S1 T)
% 4.36/4.62 True
% 4.36/4.62 Clause #1 (by assumption #[]): Eq
% 4.36/4.62 (∀ (E : Iota),
% 4.36/4.62 And (environment E) (stable E) →
% 4.36/4.62 Exists fun To =>
% 4.36/4.62 And (in_environment E To)
% 4.36/4.62 (∀ (T : Iota),
% 4.36/4.62 And (subpopulations first_movers efficient_producers E T) (greater_or_equal T To) →
% 4.36/4.62 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.36/4.62 True
% 4.36/4.62 Clause #2 (by assumption #[]): Eq
% 4.36/4.62 (Not
% 4.36/4.62 (∀ (E : Iota),
% 4.36/4.62 And (environment E) (stable E) →
% 4.36/4.62 Exists fun To =>
% 4.36/4.62 And (in_environment E To)
% 4.36/4.62 (∀ (T : Iota),
% 4.36/4.62 And (subpopulations first_movers efficient_producers E T) (greater_or_equal T To) →
% 4.36/4.62 selection_favors efficient_producers first_movers T)))
% 4.36/4.62 True
% 4.36/4.62 Clause #3 (by clausification #[0]): ∀ (a : Iota),
% 4.36/4.62 Eq
% 4.36/4.62 (∀ (S1 S2 T : Iota),
% 4.36/4.62 And (And (environment a) (subpopulations S1 S2 a T)) (greater (growth_rate S2 T) (growth_rate S1 T)) →
% 4.36/4.62 selection_favors S2 S1 T)
% 4.36/4.62 True
% 4.36/4.62 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 4.36/4.62 Eq
% 4.36/4.62 (∀ (S2 T : Iota),
% 4.36/4.62 And (And (environment a) (subpopulations a_1 S2 a T)) (greater (growth_rate S2 T) (growth_rate a_1 T)) →
% 4.36/4.62 selection_favors S2 a_1 T)
% 4.36/4.62 True
% 4.36/4.62 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 4.36/4.62 Eq
% 4.36/4.62 (∀ (T : Iota),
% 4.36/4.62 And (And (environment a) (subpopulations a_1 a_2 a T)) (greater (growth_rate a_2 T) (growth_rate a_1 T)) →
% 4.36/4.62 selection_favors a_2 a_1 T)
% 4.36/4.62 True
% 4.36/4.62 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.36/4.62 Eq
% 4.36/4.62 (And (And (environment a) (subpopulations a_1 a_2 a a_3)) (greater (growth_rate a_2 a_3) (growth_rate a_1 a_3)) →
% 4.36/4.62 selection_favors a_2 a_1 a_3)
% 4.36/4.62 True
% 4.36/4.62 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.36/4.62 Or
% 4.36/4.62 (Eq (And (And (environment a) (subpopulations a_1 a_2 a a_3)) (greater (growth_rate a_2 a_3) (growth_rate a_1 a_3)))
% 4.36/4.62 False)
% 4.36/4.62 (Eq (selection_favors a_2 a_1 a_3) True)
% 4.36/4.62 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.36/4.62 Or (Eq (selection_favors a a_1 a_2) True)
% 4.36/4.62 (Or (Eq (And (environment a_3) (subpopulations a_1 a a_3 a_2)) False)
% 4.36/4.62 (Eq (greater (growth_rate a a_2) (growth_rate a_1 a_2)) False))
% 4.36/4.62 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.36/4.62 Or (Eq (selection_favors a a_1 a_2) True)
% 4.36/4.62 (Or (Eq (greater (growth_rate a a_2) (growth_rate a_1 a_2)) False)
% 4.36/4.62 (Or (Eq (environment a_3) False) (Eq (subpopulations a_1 a a_3 a_2) False)))
% 4.36/4.62 Clause #10 (by clausification #[2]): Eq
% 4.36/4.62 (∀ (E : Iota),
% 4.36/4.62 And (environment E) (stable E) →
% 4.36/4.62 Exists fun To =>
% 4.36/4.62 And (in_environment E To)
% 4.36/4.62 (∀ (T : Iota),
% 4.36/4.62 And (subpopulations first_movers efficient_producers E T) (greater_or_equal T To) →
% 4.36/4.62 selection_favors efficient_producers first_movers T))
% 4.36/4.62 False
% 4.36/4.62 Clause #11 (by clausification #[10]): ∀ (a : Iota),
% 4.36/4.62 Eq
% 4.36/4.62 (Not
% 4.36/4.62 (And (environment (skS.0 0 a)) (stable (skS.0 0 a)) →
% 4.36/4.62 Exists fun To =>
% 4.36/4.62 And (in_environment (skS.0 0 a) To)
% 4.36/4.62 (∀ (T : Iota),
% 4.36/4.62 And (subpopulations first_movers efficient_producers (skS.0 0 a) T) (greater_or_equal T To) →
% 4.36/4.62 selection_favors efficient_producers first_movers T)))
% 4.36/4.62 True
% 4.36/4.62 Clause #12 (by clausification #[11]): ∀ (a : Iota),
% 4.36/4.62 Eq
% 4.36/4.62 (And (environment (skS.0 0 a)) (stable (skS.0 0 a)) →
% 4.36/4.62 Exists fun To =>
% 4.36/4.62 And (in_environment (skS.0 0 a) To)
% 4.36/4.62 (∀ (T : Iota),
% 4.36/4.62 And (subpopulations first_movers efficient_producers (skS.0 0 a) T) (greater_or_equal T To) →
% 4.36/4.62 selection_favors efficient_producers first_movers T))
% 4.36/4.62 False
% 4.36/4.62 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (And (environment (skS.0 0 a)) (stable (skS.0 0 a))) True
% 4.36/4.62 Clause #14 (by clausification #[12]): ∀ (a : Iota),
% 4.42/4.64 Eq
% 4.42/4.64 (Exists fun To =>
% 4.42/4.64 And (in_environment (skS.0 0 a) To)
% 4.42/4.64 (∀ (T : Iota),
% 4.42/4.64 And (subpopulations first_movers efficient_producers (skS.0 0 a) T) (greater_or_equal T To) →
% 4.42/4.64 selection_favors efficient_producers first_movers T))
% 4.42/4.64 False
% 4.42/4.64 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (stable (skS.0 0 a)) True
% 4.42/4.64 Clause #16 (by clausification #[13]): ∀ (a : Iota), Eq (environment (skS.0 0 a)) True
% 4.42/4.64 Clause #17 (by clausification #[1]): ∀ (a : Iota),
% 4.42/4.64 Eq
% 4.42/4.64 (And (environment a) (stable a) →
% 4.42/4.64 Exists fun To =>
% 4.42/4.64 And (in_environment a To)
% 4.42/4.64 (∀ (T : Iota),
% 4.42/4.64 And (subpopulations first_movers efficient_producers a T) (greater_or_equal T To) →
% 4.42/4.64 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.42/4.64 True
% 4.42/4.64 Clause #18 (by clausification #[17]): ∀ (a : Iota),
% 4.42/4.64 Or (Eq (And (environment a) (stable a)) False)
% 4.42/4.64 (Eq
% 4.42/4.64 (Exists fun To =>
% 4.42/4.64 And (in_environment a To)
% 4.42/4.64 (∀ (T : Iota),
% 4.42/4.64 And (subpopulations first_movers efficient_producers a T) (greater_or_equal T To) →
% 4.42/4.64 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.42/4.64 True)
% 4.42/4.64 Clause #19 (by clausification #[18]): ∀ (a : Iota),
% 4.42/4.64 Or
% 4.42/4.64 (Eq
% 4.42/4.64 (Exists fun To =>
% 4.42/4.64 And (in_environment a To)
% 4.42/4.64 (∀ (T : Iota),
% 4.42/4.64 And (subpopulations first_movers efficient_producers a T) (greater_or_equal T To) →
% 4.42/4.64 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.42/4.64 True)
% 4.42/4.64 (Or (Eq (environment a) False) (Eq (stable a) False))
% 4.42/4.64 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota),
% 4.42/4.64 Or (Eq (environment a) False)
% 4.42/4.64 (Or (Eq (stable a) False)
% 4.42/4.64 (Eq
% 4.42/4.64 (And (in_environment a (skS.0 1 a a_1))
% 4.42/4.64 (∀ (T : Iota),
% 4.42/4.64 And (subpopulations first_movers efficient_producers a T) (greater_or_equal T (skS.0 1 a a_1)) →
% 4.42/4.64 greater (growth_rate efficient_producers T) (growth_rate first_movers T)))
% 4.42/4.64 True))
% 4.42/4.64 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota),
% 4.42/4.64 Or (Eq (environment a) False)
% 4.42/4.64 (Or (Eq (stable a) False)
% 4.42/4.64 (Eq
% 4.42/4.64 (∀ (T : Iota),
% 4.42/4.64 And (subpopulations first_movers efficient_producers a T) (greater_or_equal T (skS.0 1 a a_1)) →
% 4.42/4.64 greater (growth_rate efficient_producers T) (growth_rate first_movers T))
% 4.42/4.64 True))
% 4.42/4.64 Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (environment a) False) (Or (Eq (stable a) False) (Eq (in_environment a (skS.0 1 a a_1)) True))
% 4.42/4.64 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.64 Or (Eq (environment a) False)
% 4.42/4.64 (Or (Eq (stable a) False)
% 4.42/4.64 (Eq
% 4.42/4.64 (And (subpopulations first_movers efficient_producers a a_1) (greater_or_equal a_1 (skS.0 1 a a_2)) →
% 4.42/4.64 greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1))
% 4.42/4.64 True))
% 4.42/4.64 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.64 Or (Eq (environment a) False)
% 4.42/4.64 (Or (Eq (stable a) False)
% 4.42/4.64 (Or
% 4.42/4.64 (Eq (And (subpopulations first_movers efficient_producers a a_1) (greater_or_equal a_1 (skS.0 1 a a_2))) False)
% 4.42/4.64 (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True)))
% 4.42/4.64 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.64 Or (Eq (environment a) False)
% 4.42/4.64 (Or (Eq (stable a) False)
% 4.42/4.64 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True)
% 4.42/4.64 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 4.42/4.64 (Eq (greater_or_equal a_1 (skS.0 1 a a_2)) False))))
% 4.42/4.64 Clause #26 (by superposition #[25, 16]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.64 Or (Eq (stable (skS.0 0 a)) False)
% 4.42/4.64 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True)
% 4.42/4.64 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.42/4.64 (Or (Eq (greater_or_equal a_1 (skS.0 1 (skS.0 0 a) a_2)) False) (Eq False True))))
% 4.42/4.64 Clause #27 (by superposition #[22, 16]): ∀ (a a_1 : Iota),
% 4.42/4.64 Or (Eq (stable (skS.0 0 a)) False)
% 4.46/4.66 (Or (Eq (in_environment (skS.0 0 a) (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True))
% 4.46/4.66 Clause #28 (by clausification #[14]): ∀ (a a_1 : Iota),
% 4.46/4.66 Eq
% 4.46/4.66 (And (in_environment (skS.0 0 a) a_1)
% 4.46/4.66 (∀ (T : Iota),
% 4.46/4.66 And (subpopulations first_movers efficient_producers (skS.0 0 a) T) (greater_or_equal T a_1) →
% 4.46/4.66 selection_favors efficient_producers first_movers T))
% 4.46/4.66 False
% 4.46/4.66 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota),
% 4.46/4.66 Or (Eq (in_environment (skS.0 0 a) a_1) False)
% 4.46/4.66 (Eq
% 4.46/4.66 (∀ (T : Iota),
% 4.46/4.66 And (subpopulations first_movers efficient_producers (skS.0 0 a) T) (greater_or_equal T a_1) →
% 4.46/4.66 selection_favors efficient_producers first_movers T)
% 4.46/4.66 False)
% 4.46/4.66 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq (in_environment (skS.0 0 a) a_1) False)
% 4.46/4.66 (Eq
% 4.46/4.66 (Not
% 4.46/4.66 (And (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 4.46/4.66 (greater_or_equal (skS.0 2 a a_1 a_2) a_1) →
% 4.46/4.66 selection_favors efficient_producers first_movers (skS.0 2 a a_1 a_2)))
% 4.46/4.66 True)
% 4.46/4.66 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq (in_environment (skS.0 0 a) a_1) False)
% 4.46/4.66 (Eq
% 4.46/4.66 (And (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 4.46/4.66 (greater_or_equal (skS.0 2 a a_1 a_2) a_1) →
% 4.46/4.66 selection_favors efficient_producers first_movers (skS.0 2 a a_1 a_2))
% 4.46/4.66 False)
% 4.46/4.66 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq (in_environment (skS.0 0 a) a_1) False)
% 4.46/4.66 (Eq
% 4.46/4.66 (And (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 4.46/4.66 (greater_or_equal (skS.0 2 a a_1 a_2) a_1))
% 4.46/4.66 True)
% 4.46/4.66 Clause #33 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq (in_environment (skS.0 0 a) a_1) False)
% 4.46/4.66 (Eq (selection_favors efficient_producers first_movers (skS.0 2 a a_1 a_2)) False)
% 4.46/4.66 Clause #34 (by clausification #[32]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq (in_environment (skS.0 0 a) a_1) False) (Eq (greater_or_equal (skS.0 2 a a_1 a_2) a_1) True)
% 4.46/4.66 Clause #35 (by clausification #[32]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq (in_environment (skS.0 0 a) a_1) False)
% 4.46/4.66 (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 2 a a_1 a_2)) True)
% 4.46/4.66 Clause #36 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (stable (skS.0 0 a)) False) (Eq (in_environment (skS.0 0 a) (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.46/4.66 Clause #37 (by forward demodulation #[36, 15]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in_environment (skS.0 0 a) (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.46/4.66 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq (in_environment (skS.0 0 a) (skS.0 1 (skS.0 0 a) a_1)) True
% 4.46/4.66 Clause #39 (by superposition #[38, 34]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq True False) (Eq (greater_or_equal (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2) (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.46/4.66 Clause #40 (by superposition #[38, 33]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq True False)
% 4.46/4.66 (Eq (selection_favors efficient_producers first_movers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)) False)
% 4.46/4.66 Clause #41 (by superposition #[38, 35]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq True False)
% 4.46/4.66 (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)) True)
% 4.46/4.66 Clause #42 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Eq (selection_favors efficient_producers first_movers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)) False
% 4.46/4.66 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)) True
% 4.46/4.66 Clause #44 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.66 Or (Eq (stable (skS.0 0 a)) False)
% 4.46/4.66 (Or (Eq (greater (growth_rate efficient_producers a_1) (growth_rate first_movers a_1)) True)
% 4.46/4.66 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 4.46/4.66 (Eq (greater_or_equal a_1 (skS.0 1 (skS.0 0 a) a_2)) False)))
% 4.46/4.66 Clause #45 (by forward demodulation #[44, 15]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.69 Or (Eq True False)
% 4.46/4.69 (Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)
% 4.46/4.69 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a_1) a) False)
% 4.46/4.69 (Eq (greater_or_equal a (skS.0 1 (skS.0 0 a_1) a_2)) False)))
% 4.46/4.69 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.69 Or (Eq (greater (growth_rate efficient_producers a) (growth_rate first_movers a)) True)
% 4.46/4.69 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a_1) a) False)
% 4.46/4.69 (Eq (greater_or_equal a (skS.0 1 (skS.0 0 a_1) a_2)) False))
% 4.46/4.69 Clause #47 (by superposition #[46, 43]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.69 Or
% 4.46/4.69 (Eq
% 4.46/4.69 (greater (growth_rate efficient_producers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2))
% 4.46/4.69 (growth_rate first_movers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)))
% 4.46/4.69 True)
% 4.46/4.69 (Or (Eq (greater_or_equal (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2) (skS.0 1 (skS.0 0 a) a_3)) False)
% 4.46/4.69 (Eq False True))
% 4.46/4.69 Clause #48 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (greater_or_equal (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2) (skS.0 1 (skS.0 0 a) a_1)) True
% 4.46/4.69 Clause #49 (by clausification #[47]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.69 Or
% 4.46/4.69 (Eq
% 4.46/4.69 (greater (growth_rate efficient_producers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2))
% 4.46/4.69 (growth_rate first_movers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)))
% 4.46/4.69 True)
% 4.46/4.69 (Eq (greater_or_equal (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2) (skS.0 1 (skS.0 0 a) a_3)) False)
% 4.46/4.69 Clause #50 (by superposition #[49, 48]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.69 Or
% 4.46/4.69 (Eq
% 4.46/4.69 (greater (growth_rate efficient_producers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2))
% 4.46/4.69 (growth_rate first_movers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)))
% 4.46/4.69 True)
% 4.46/4.69 (Eq False True)
% 4.46/4.69 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota),
% 4.46/4.69 Eq
% 4.46/4.69 (greater (growth_rate efficient_producers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2))
% 4.46/4.69 (growth_rate first_movers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)))
% 4.46/4.69 True
% 4.46/4.69 Clause #52 (by superposition #[51, 9]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.69 Or (Eq (selection_favors efficient_producers first_movers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)) True)
% 4.46/4.69 (Or (Eq True False)
% 4.46/4.69 (Or (Eq (environment a_3) False)
% 4.46/4.69 (Eq (subpopulations first_movers efficient_producers a_3 (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)) False)))
% 4.46/4.69 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.69 Or (Eq (selection_favors efficient_producers first_movers (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)) True)
% 4.46/4.69 (Or (Eq (environment a_3) False)
% 4.46/4.69 (Eq (subpopulations first_movers efficient_producers a_3 (skS.0 2 a (skS.0 1 (skS.0 0 a) a_1) a_2)) False))
% 4.46/4.69 Clause #54 (by forward demodulation #[53, 42]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.69 Or (Eq False True)
% 4.46/4.69 (Or (Eq (environment a) False)
% 4.46/4.69 (Eq (subpopulations first_movers efficient_producers a (skS.0 2 a_1 (skS.0 1 (skS.0 0 a_1) a_2) a_3)) False))
% 4.46/4.69 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.69 Or (Eq (environment a) False)
% 4.46/4.69 (Eq (subpopulations first_movers efficient_producers a (skS.0 2 a_1 (skS.0 1 (skS.0 0 a_1) a_2) a_3)) False)
% 4.46/4.69 Clause #56 (by superposition #[55, 16]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.69 Or
% 4.46/4.69 (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 2 a_1 (skS.0 1 (skS.0 0 a_1) a_2) a_3))
% 4.46/4.69 False)
% 4.46/4.69 (Eq False True)
% 4.46/4.69 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.46/4.69 Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 2 a_1 (skS.0 1 (skS.0 0 a_1) a_2) a_3)) False
% 4.46/4.69 Clause #58 (by superposition #[57, 43]): Eq False True
% 4.46/4.69 Clause #59 (by clausification #[58]): False
% 4.46/4.69 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------