TSTP Solution File: MGT039+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 09:10:07 EDT 2023
% Result : Theorem 5.74s 5.89s
% Output : Proof 5.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : duper %s
% 0.15/0.34 % Computer : n024.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % 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 06:10:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 5.74/5.89 SZS status Theorem for theBenchmark.p
% 5.74/5.89 SZS output start Proof for theBenchmark.p
% 5.74/5.89 Clause #0 (by assumption #[]): Eq
% 5.74/5.89 (∀ (P : Iota),
% 5.74/5.89 And
% 5.74/5.89 (And (And (observational_period P) (propagation_strategy first_movers))
% 5.74/5.89 (propagation_strategy efficient_producers))
% 5.74/5.89 (∀ (E : Iota),
% 5.74/5.89 And (environment E) (in_environment P E) → selection_favors efficient_producers first_movers (end_time E)) →
% 5.74/5.89 selection_favors efficient_producers first_movers P)
% 5.74/5.89 True
% 5.74/5.89 Clause #1 (by assumption #[]): Eq
% 5.74/5.89 (∀ (P : Iota),
% 5.74/5.89 And (observational_period P) (slow_change P) →
% 5.74/5.89 ∀ (E : Iota),
% 5.74/5.89 And (environment E) (in_environment P E) →
% 5.74/5.89 Exists fun T => And (in_environment E T) (greater T (critical_point E)))
% 5.74/5.89 True
% 5.74/5.89 Clause #2 (by assumption #[]): Eq (propagation_strategy first_movers) True
% 5.74/5.89 Clause #3 (by assumption #[]): Eq (propagation_strategy efficient_producers) True
% 5.74/5.89 Clause #4 (by assumption #[]): Eq
% 5.74/5.89 (∀ (E T : Iota),
% 5.74/5.89 And (And (environment E) (greater_or_equal T (start_time E))) (greater_or_equal (end_time E) T) →
% 5.74/5.89 in_environment E T)
% 5.74/5.89 True
% 5.74/5.89 Clause #5 (by assumption #[]): Eq (∀ (E T : Iota), And (environment E) (in_environment E T) → greater_or_equal (end_time E) T) True
% 5.74/5.89 Clause #6 (by assumption #[]): Eq (∀ (E : Iota), environment E → greater_or_equal (critical_point E) (start_time E)) True
% 5.74/5.89 Clause #7 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (greater X Y) (greater Y Z) → greater X Z) True
% 5.74/5.89 Clause #8 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (greater_or_equal X Y) (Or (greater X Y) (Eq X Y))) True
% 5.74/5.89 Clause #10 (by assumption #[]): Eq
% 5.74/5.89 (∀ (E T : Iota),
% 5.74/5.89 And (And (environment E) (in_environment E T)) (greater T (critical_point E)) →
% 5.74/5.89 selection_favors efficient_producers first_movers T)
% 5.74/5.89 True
% 5.74/5.89 Clause #11 (by assumption #[]): Eq
% 5.74/5.89 (Not
% 5.74/5.89 (∀ (P : Iota), And (observational_period P) (slow_change P) → selection_favors efficient_producers first_movers P))
% 5.74/5.89 True
% 5.74/5.89 Clause #12 (by clausification #[0]): ∀ (a : Iota),
% 5.74/5.89 Eq
% 5.74/5.89 (And
% 5.74/5.89 (And (And (observational_period a) (propagation_strategy first_movers))
% 5.74/5.89 (propagation_strategy efficient_producers))
% 5.74/5.89 (∀ (E : Iota),
% 5.74/5.89 And (environment E) (in_environment a E) → selection_favors efficient_producers first_movers (end_time E)) →
% 5.74/5.89 selection_favors efficient_producers first_movers a)
% 5.74/5.89 True
% 5.74/5.89 Clause #13 (by clausification #[12]): ∀ (a : Iota),
% 5.74/5.89 Or
% 5.74/5.89 (Eq
% 5.74/5.89 (And
% 5.74/5.89 (And (And (observational_period a) (propagation_strategy first_movers))
% 5.74/5.89 (propagation_strategy efficient_producers))
% 5.74/5.89 (∀ (E : Iota),
% 5.74/5.89 And (environment E) (in_environment a E) → selection_favors efficient_producers first_movers (end_time E)))
% 5.74/5.89 False)
% 5.74/5.89 (Eq (selection_favors efficient_producers first_movers a) True)
% 5.74/5.89 Clause #14 (by clausification #[13]): ∀ (a : Iota),
% 5.74/5.89 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.74/5.89 (Or
% 5.74/5.89 (Eq
% 5.74/5.89 (And (And (observational_period a) (propagation_strategy first_movers))
% 5.74/5.89 (propagation_strategy efficient_producers))
% 5.74/5.89 False)
% 5.74/5.89 (Eq
% 5.74/5.89 (∀ (E : Iota),
% 5.74/5.89 And (environment E) (in_environment a E) → selection_favors efficient_producers first_movers (end_time E))
% 5.74/5.89 False))
% 5.74/5.89 Clause #15 (by clausification #[14]): ∀ (a : Iota),
% 5.74/5.89 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.74/5.89 (Or
% 5.74/5.89 (Eq
% 5.74/5.89 (∀ (E : Iota),
% 5.74/5.89 And (environment E) (in_environment a E) → selection_favors efficient_producers first_movers (end_time E))
% 5.74/5.89 False)
% 5.74/5.89 (Or (Eq (And (observational_period a) (propagation_strategy first_movers)) False)
% 5.74/5.89 (Eq (propagation_strategy efficient_producers) False)))
% 5.74/5.89 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 5.74/5.89 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.74/5.89 (Or (Eq (And (observational_period a) (propagation_strategy first_movers)) False)
% 5.74/5.89 (Or (Eq (propagation_strategy efficient_producers) False)
% 5.74/5.89 (Eq
% 5.74/5.89 (Not
% 5.74/5.89 (And (environment (skS.0 0 a a_1)) (in_environment a (skS.0 0 a a_1)) →
% 5.75/5.91 selection_favors efficient_producers first_movers (end_time (skS.0 0 a a_1))))
% 5.75/5.91 True)))
% 5.75/5.91 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (propagation_strategy efficient_producers) False)
% 5.75/5.91 (Or
% 5.75/5.91 (Eq
% 5.75/5.91 (Not
% 5.75/5.91 (And (environment (skS.0 0 a a_1)) (in_environment a (skS.0 0 a a_1)) →
% 5.75/5.91 selection_favors efficient_producers first_movers (end_time (skS.0 0 a a_1))))
% 5.75/5.91 True)
% 5.75/5.91 (Or (Eq (observational_period a) False) (Eq (propagation_strategy first_movers) False))))
% 5.75/5.91 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (propagation_strategy efficient_producers) False)
% 5.75/5.91 (Or (Eq (observational_period a) False)
% 5.75/5.91 (Or (Eq (propagation_strategy first_movers) False)
% 5.75/5.91 (Eq
% 5.75/5.91 (And (environment (skS.0 0 a a_1)) (in_environment a (skS.0 0 a a_1)) →
% 5.75/5.91 selection_favors efficient_producers first_movers (end_time (skS.0 0 a a_1)))
% 5.75/5.91 False))))
% 5.75/5.91 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (propagation_strategy efficient_producers) False)
% 5.75/5.91 (Or (Eq (observational_period a) False)
% 5.75/5.91 (Or (Eq (propagation_strategy first_movers) False)
% 5.75/5.91 (Eq (And (environment (skS.0 0 a a_1)) (in_environment a (skS.0 0 a a_1))) True))))
% 5.75/5.91 Clause #20 (by clausification #[18]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (propagation_strategy efficient_producers) False)
% 5.75/5.91 (Or (Eq (observational_period a) False)
% 5.75/5.91 (Or (Eq (propagation_strategy first_movers) False)
% 5.75/5.91 (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 a a_1))) False))))
% 5.75/5.91 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (propagation_strategy efficient_producers) False)
% 5.75/5.91 (Or (Eq (observational_period a) False)
% 5.75/5.91 (Or (Eq (propagation_strategy first_movers) False) (Eq (in_environment a (skS.0 0 a a_1)) True))))
% 5.75/5.91 Clause #22 (by clausification #[19]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (propagation_strategy efficient_producers) False)
% 5.75/5.91 (Or (Eq (observational_period a) False)
% 5.75/5.91 (Or (Eq (propagation_strategy first_movers) False) (Eq (environment (skS.0 0 a a_1)) True))))
% 5.75/5.91 Clause #23 (by forward demodulation #[21, 3]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq True False)
% 5.75/5.91 (Or (Eq (observational_period a) False)
% 5.75/5.91 (Or (Eq (propagation_strategy first_movers) False) (Eq (in_environment a (skS.0 0 a a_1)) True))))
% 5.75/5.91 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (observational_period a) False)
% 5.75/5.91 (Or (Eq (propagation_strategy first_movers) False) (Eq (in_environment a (skS.0 0 a a_1)) True)))
% 5.75/5.91 Clause #25 (by forward demodulation #[24, 2]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (observational_period a) False) (Or (Eq True False) (Eq (in_environment a (skS.0 0 a a_1)) True)))
% 5.75/5.91 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota),
% 5.75/5.91 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.91 (Or (Eq (observational_period a) False) (Eq (in_environment a (skS.0 0 a a_1)) True))
% 5.75/5.91 Clause #27 (by clausification #[4]): ∀ (a : Iota),
% 5.75/5.91 Eq
% 5.75/5.91 (∀ (T : Iota),
% 5.75/5.91 And (And (environment a) (greater_or_equal T (start_time a))) (greater_or_equal (end_time a) T) →
% 5.75/5.91 in_environment a T)
% 5.75/5.91 True
% 5.75/5.91 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota),
% 5.75/5.91 Eq
% 5.75/5.91 (And (And (environment a) (greater_or_equal a_1 (start_time a))) (greater_or_equal (end_time a) a_1) →
% 5.75/5.91 in_environment a a_1)
% 5.75/5.93 True
% 5.75/5.93 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota),
% 5.75/5.93 Or (Eq (And (And (environment a) (greater_or_equal a_1 (start_time a))) (greater_or_equal (end_time a) a_1)) False)
% 5.75/5.93 (Eq (in_environment a a_1) True)
% 5.75/5.93 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota),
% 5.75/5.93 Or (Eq (in_environment a a_1) True)
% 5.75/5.93 (Or (Eq (And (environment a) (greater_or_equal a_1 (start_time a))) False)
% 5.75/5.93 (Eq (greater_or_equal (end_time a) a_1) False))
% 5.75/5.93 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 5.75/5.93 Or (Eq (in_environment a a_1) True)
% 5.75/5.93 (Or (Eq (greater_or_equal (end_time a) a_1) False)
% 5.75/5.93 (Or (Eq (environment a) False) (Eq (greater_or_equal a_1 (start_time a)) False)))
% 5.75/5.93 Clause #32 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (T : Iota), And (environment a) (in_environment a T) → greater_or_equal (end_time a) T) True
% 5.75/5.93 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (And (environment a) (in_environment a a_1) → greater_or_equal (end_time a) a_1) True
% 5.75/5.93 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 5.75/5.93 Or (Eq (And (environment a) (in_environment a a_1)) False) (Eq (greater_or_equal (end_time a) a_1) True)
% 5.75/5.93 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 5.75/5.93 Or (Eq (greater_or_equal (end_time a) a_1) True) (Or (Eq (environment a) False) (Eq (in_environment a a_1) False))
% 5.75/5.93 Clause #36 (by clausification #[1]): ∀ (a : Iota),
% 5.75/5.93 Eq
% 5.75/5.93 (And (observational_period a) (slow_change a) →
% 5.75/5.93 ∀ (E : Iota),
% 5.75/5.93 And (environment E) (in_environment a E) →
% 5.75/5.93 Exists fun T => And (in_environment E T) (greater T (critical_point E)))
% 5.75/5.93 True
% 5.75/5.93 Clause #37 (by clausification #[36]): ∀ (a : Iota),
% 5.75/5.93 Or (Eq (And (observational_period a) (slow_change a)) False)
% 5.75/5.93 (Eq
% 5.75/5.93 (∀ (E : Iota),
% 5.75/5.93 And (environment E) (in_environment a E) →
% 5.75/5.93 Exists fun T => And (in_environment E T) (greater T (critical_point E)))
% 5.75/5.93 True)
% 5.75/5.93 Clause #38 (by clausification #[37]): ∀ (a : Iota),
% 5.75/5.93 Or
% 5.75/5.93 (Eq
% 5.75/5.93 (∀ (E : Iota),
% 5.75/5.93 And (environment E) (in_environment a E) →
% 5.75/5.93 Exists fun T => And (in_environment E T) (greater T (critical_point E)))
% 5.75/5.93 True)
% 5.75/5.93 (Or (Eq (observational_period a) False) (Eq (slow_change a) False))
% 5.75/5.93 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota),
% 5.75/5.93 Or (Eq (observational_period a) False)
% 5.75/5.93 (Or (Eq (slow_change a) False)
% 5.75/5.93 (Eq
% 5.75/5.93 (And (environment a_1) (in_environment a a_1) →
% 5.75/5.93 Exists fun T => And (in_environment a_1 T) (greater T (critical_point a_1)))
% 5.75/5.93 True))
% 5.75/5.93 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 5.75/5.93 Or (Eq (observational_period a) False)
% 5.75/5.93 (Or (Eq (slow_change a) False)
% 5.75/5.93 (Or (Eq (And (environment a_1) (in_environment a a_1)) False)
% 5.75/5.93 (Eq (Exists fun T => And (in_environment a_1 T) (greater T (critical_point a_1))) True)))
% 5.75/5.93 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 5.75/5.93 Or (Eq (observational_period a) False)
% 5.75/5.93 (Or (Eq (slow_change a) False)
% 5.75/5.93 (Or (Eq (Exists fun T => And (in_environment a_1 T) (greater T (critical_point a_1))) True)
% 5.75/5.93 (Or (Eq (environment a_1) False) (Eq (in_environment a a_1) False))))
% 5.75/5.93 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.93 Or (Eq (observational_period a) False)
% 5.75/5.93 (Or (Eq (slow_change a) False)
% 5.75/5.93 (Or (Eq (environment a_1) False)
% 5.75/5.93 (Or (Eq (in_environment a a_1) False)
% 5.75/5.93 (Eq (And (in_environment a_1 (skS.0 1 a_1 a_2)) (greater (skS.0 1 a_1 a_2) (critical_point a_1))) True))))
% 5.75/5.93 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.93 Or (Eq (observational_period a) False)
% 5.75/5.93 (Or (Eq (slow_change a) False)
% 5.75/5.93 (Or (Eq (environment a_1) False)
% 5.75/5.93 (Or (Eq (in_environment a a_1) False) (Eq (greater (skS.0 1 a_1 a_2) (critical_point a_1)) True))))
% 5.75/5.93 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.93 Or (Eq (observational_period a) False)
% 5.75/5.93 (Or (Eq (slow_change a) False)
% 5.75/5.93 (Or (Eq (environment a_1) False)
% 5.75/5.93 (Or (Eq (in_environment a a_1) False) (Eq (in_environment a_1 (skS.0 1 a_1 a_2)) True))))
% 5.75/5.93 Clause #45 (by clausification #[11]): Eq (∀ (P : Iota), And (observational_period P) (slow_change P) → selection_favors efficient_producers first_movers P)
% 5.75/5.95 False
% 5.75/5.95 Clause #46 (by clausification #[45]): ∀ (a : Iota),
% 5.75/5.95 Eq
% 5.75/5.95 (Not
% 5.75/5.95 (And (observational_period (skS.0 2 a)) (slow_change (skS.0 2 a)) →
% 5.75/5.95 selection_favors efficient_producers first_movers (skS.0 2 a)))
% 5.75/5.95 True
% 5.75/5.95 Clause #47 (by clausification #[46]): ∀ (a : Iota),
% 5.75/5.95 Eq
% 5.75/5.95 (And (observational_period (skS.0 2 a)) (slow_change (skS.0 2 a)) →
% 5.75/5.95 selection_favors efficient_producers first_movers (skS.0 2 a))
% 5.75/5.95 False
% 5.75/5.95 Clause #48 (by clausification #[47]): ∀ (a : Iota), Eq (And (observational_period (skS.0 2 a)) (slow_change (skS.0 2 a))) True
% 5.75/5.95 Clause #49 (by clausification #[47]): ∀ (a : Iota), Eq (selection_favors efficient_producers first_movers (skS.0 2 a)) False
% 5.75/5.95 Clause #50 (by clausification #[48]): ∀ (a : Iota), Eq (slow_change (skS.0 2 a)) True
% 5.75/5.95 Clause #51 (by clausification #[48]): ∀ (a : Iota), Eq (observational_period (skS.0 2 a)) True
% 5.75/5.95 Clause #52 (by superposition #[51, 26]): ∀ (a a_1 : Iota),
% 5.75/5.95 Or (Eq (selection_favors efficient_producers first_movers (skS.0 2 a)) True)
% 5.75/5.95 (Or (Eq True False) (Eq (in_environment (skS.0 2 a) (skS.0 0 (skS.0 2 a) a_1)) True))
% 5.75/5.95 Clause #53 (by superposition #[51, 43]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.95 Or (Eq True False)
% 5.75/5.95 (Or (Eq (slow_change (skS.0 2 a)) False)
% 5.75/5.95 (Or (Eq (environment a_1) False)
% 5.75/5.95 (Or (Eq (in_environment (skS.0 2 a) a_1) False) (Eq (greater (skS.0 1 a_1 a_2) (critical_point a_1)) True))))
% 5.75/5.95 Clause #60 (by clausification #[10]): ∀ (a : Iota),
% 5.75/5.95 Eq
% 5.75/5.95 (∀ (T : Iota),
% 5.75/5.95 And (And (environment a) (in_environment a T)) (greater T (critical_point a)) →
% 5.75/5.95 selection_favors efficient_producers first_movers T)
% 5.75/5.95 True
% 5.75/5.95 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota),
% 5.75/5.95 Eq
% 5.75/5.95 (And (And (environment a) (in_environment a a_1)) (greater a_1 (critical_point a)) →
% 5.75/5.95 selection_favors efficient_producers first_movers a_1)
% 5.75/5.95 True
% 5.75/5.95 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota),
% 5.75/5.95 Or (Eq (And (And (environment a) (in_environment a a_1)) (greater a_1 (critical_point a))) False)
% 5.75/5.95 (Eq (selection_favors efficient_producers first_movers a_1) True)
% 5.75/5.95 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota),
% 5.75/5.95 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.95 (Or (Eq (And (environment a_1) (in_environment a_1 a)) False) (Eq (greater a (critical_point a_1)) False))
% 5.75/5.95 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota),
% 5.75/5.95 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.95 (Or (Eq (greater a (critical_point a_1)) False) (Or (Eq (environment a_1) False) (Eq (in_environment a_1 a) False)))
% 5.75/5.95 Clause #65 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (greater a Y) (greater Y Z) → greater a Z) True
% 5.75/5.95 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (greater a a_1) (greater a_1 Z) → greater a Z) True
% 5.75/5.95 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota), Eq (And (greater a a_1) (greater a_1 a_2) → greater a a_2) True
% 5.75/5.95 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (greater a a_1) (greater a_1 a_2)) False) (Eq (greater a a_2) True)
% 5.75/5.95 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota), Or (Eq (greater a a_1) True) (Or (Eq (greater a a_2) False) (Eq (greater a_2 a_1) False))
% 5.75/5.95 Clause #70 (by clausification #[6]): ∀ (a : Iota), Eq (environment a → greater_or_equal (critical_point a) (start_time a)) True
% 5.75/5.95 Clause #71 (by clausification #[70]): ∀ (a : Iota), Or (Eq (environment a) False) (Eq (greater_or_equal (critical_point a) (start_time a)) True)
% 5.75/5.95 Clause #72 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (greater_or_equal a Y) (Or (greater a Y) (Eq a Y))) True
% 5.75/5.95 Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota), Eq (Iff (greater_or_equal a a_1) (Or (greater a a_1) (Eq a a_1))) True
% 5.75/5.95 Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) True) (Eq (Or (greater a a_1) (Eq a a_1)) False)
% 5.75/5.95 Clause #75 (by clausification #[73]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) False) (Eq (Or (greater a a_1) (Eq a a_1)) True)
% 5.75/5.97 Clause #76 (by clausification #[74]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) True) (Eq (Eq a a_1) False)
% 5.75/5.97 Clause #77 (by clausification #[74]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) True) (Eq (greater a a_1) False)
% 5.75/5.97 Clause #78 (by clausification #[76]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) True) (Ne a a_1)
% 5.75/5.97 Clause #79 (by destructive equality resolution #[78]): ∀ (a : Iota), Eq (greater_or_equal a a) True
% 5.75/5.97 Clause #80 (by superposition #[79, 31]): ∀ (a : Iota),
% 5.75/5.97 Or (Eq (in_environment a (end_time a)) True)
% 5.75/5.97 (Or (Eq True False) (Or (Eq (environment a) False) (Eq (greater_or_equal (end_time a) (start_time a)) False)))
% 5.75/5.97 Clause #81 (by clausification #[75]): ∀ (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))
% 5.75/5.97 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota), Or (Eq (greater_or_equal a a_1) False) (Or (Eq (greater a a_1) True) (Eq a a_1))
% 5.75/5.97 Clause #85 (by forward demodulation #[20, 3]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.97 (Or (Eq True False)
% 5.75/5.97 (Or (Eq (observational_period a) False)
% 5.75/5.97 (Or (Eq (propagation_strategy first_movers) False)
% 5.75/5.97 (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 a a_1))) False))))
% 5.75/5.97 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.97 (Or (Eq (observational_period a) False)
% 5.75/5.97 (Or (Eq (propagation_strategy first_movers) False)
% 5.75/5.97 (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 a a_1))) False)))
% 5.75/5.97 Clause #87 (by forward demodulation #[86, 2]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.97 (Or (Eq (observational_period a) False)
% 5.75/5.97 (Or (Eq True False) (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 a a_1))) False)))
% 5.75/5.97 Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.97 (Or (Eq (observational_period a) False)
% 5.75/5.97 (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 a a_1))) False))
% 5.75/5.97 Clause #89 (by superposition #[88, 51]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers (skS.0 2 a)) True)
% 5.75/5.97 (Or (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 (skS.0 2 a) a_1))) False)
% 5.75/5.97 (Eq False True))
% 5.75/5.97 Clause #90 (by clausification #[80]): ∀ (a : Iota),
% 5.75/5.97 Or (Eq (in_environment a (end_time a)) True)
% 5.75/5.97 (Or (Eq (environment a) False) (Eq (greater_or_equal (end_time a) (start_time a)) False))
% 5.75/5.97 Clause #91 (by superposition #[44, 51]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.97 Or (Eq True False)
% 5.75/5.97 (Or (Eq (slow_change (skS.0 2 a)) False)
% 5.75/5.97 (Or (Eq (environment a_1) False)
% 5.75/5.97 (Or (Eq (in_environment (skS.0 2 a) a_1) False) (Eq (in_environment a_1 (skS.0 1 a_1 a_2)) True))))
% 5.75/5.97 Clause #92 (by forward demodulation #[22, 3]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.97 (Or (Eq True False)
% 5.75/5.97 (Or (Eq (observational_period a) False)
% 5.75/5.97 (Or (Eq (propagation_strategy first_movers) False) (Eq (environment (skS.0 0 a a_1)) True))))
% 5.75/5.97 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.97 (Or (Eq (observational_period a) False)
% 5.75/5.97 (Or (Eq (propagation_strategy first_movers) False) (Eq (environment (skS.0 0 a a_1)) True)))
% 5.75/5.97 Clause #94 (by forward demodulation #[93, 2]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.97 (Or (Eq (observational_period a) False) (Or (Eq True False) (Eq (environment (skS.0 0 a a_1)) True)))
% 5.75/5.97 Clause #95 (by clausification #[94]): ∀ (a a_1 : Iota),
% 5.75/5.97 Or (Eq (selection_favors efficient_producers first_movers a) True)
% 5.75/5.97 (Or (Eq (observational_period a) False) (Eq (environment (skS.0 0 a a_1)) True))
% 5.75/5.99 Clause #96 (by superposition #[95, 51]): ∀ (a a_1 : Iota),
% 5.75/5.99 Or (Eq (selection_favors efficient_producers first_movers (skS.0 2 a)) True)
% 5.75/5.99 (Or (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) True) (Eq False True))
% 5.75/5.99 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota),
% 5.75/5.99 Or (Eq (selection_favors efficient_producers first_movers (skS.0 2 a)) True)
% 5.75/5.99 (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) True)
% 5.75/5.99 Clause #98 (by forward demodulation #[97, 49]): ∀ (a a_1 : Iota), Or (Eq False True) (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) True)
% 5.75/5.99 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota), Eq (environment (skS.0 0 (skS.0 2 a) a_1)) True
% 5.75/5.99 Clause #100 (by superposition #[99, 35]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.99 Or (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) a_2) True)
% 5.75/5.99 (Or (Eq True False) (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) a_2) False))
% 5.75/5.99 Clause #102 (by superposition #[99, 71]): ∀ (a a_1 : Iota),
% 5.75/5.99 Or (Eq True False)
% 5.75/5.99 (Eq (greater_or_equal (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.75/5.99 Clause #103 (by superposition #[99, 90]): ∀ (a a_1 : Iota),
% 5.75/5.99 Or (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.75/5.99 (Or (Eq True False)
% 5.75/5.99 (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) False))
% 5.75/5.99 Clause #104 (by clausification #[89]): ∀ (a a_1 : Iota),
% 5.75/5.99 Or (Eq (selection_favors efficient_producers first_movers (skS.0 2 a)) True)
% 5.75/5.99 (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 (skS.0 2 a) a_1))) False)
% 5.75/5.99 Clause #105 (by forward demodulation #[104, 49]): ∀ (a a_1 : Iota),
% 5.75/5.99 Or (Eq False True) (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 (skS.0 2 a) a_1))) False)
% 5.75/5.99 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota), Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 (skS.0 2 a) a_1))) False
% 5.75/5.99 Clause #107 (by clausification #[52]): ∀ (a a_1 : Iota),
% 5.75/5.99 Or (Eq (selection_favors efficient_producers first_movers (skS.0 2 a)) True)
% 5.75/5.99 (Eq (in_environment (skS.0 2 a) (skS.0 0 (skS.0 2 a) a_1)) True)
% 5.75/5.99 Clause #108 (by forward demodulation #[107, 49]): ∀ (a a_1 : Iota), Or (Eq False True) (Eq (in_environment (skS.0 2 a) (skS.0 0 (skS.0 2 a) a_1)) True)
% 5.75/5.99 Clause #109 (by clausification #[108]): ∀ (a a_1 : Iota), Eq (in_environment (skS.0 2 a) (skS.0 0 (skS.0 2 a) a_1)) True
% 5.75/5.99 Clause #110 (by clausification #[102]): ∀ (a a_1 : Iota),
% 5.75/5.99 Eq (greater_or_equal (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True
% 5.75/5.99 Clause #111 (by superposition #[110, 82]): ∀ (a a_1 : Iota),
% 5.75/5.99 Or (Eq True False)
% 5.75/5.99 (Or (Eq (greater (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.75/5.99 (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))))
% 5.75/5.99 Clause #112 (by clausification #[91]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.99 Or (Eq (slow_change (skS.0 2 a)) False)
% 5.75/5.99 (Or (Eq (environment a_1) False)
% 5.75/5.99 (Or (Eq (in_environment (skS.0 2 a) a_1) False) (Eq (in_environment a_1 (skS.0 1 a_1 a_2)) True)))
% 5.75/5.99 Clause #113 (by forward demodulation #[112, 50]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.99 Or (Eq True False)
% 5.75/5.99 (Or (Eq (environment a) False)
% 5.75/5.99 (Or (Eq (in_environment (skS.0 2 a_1) a) False) (Eq (in_environment a (skS.0 1 a a_2)) True)))
% 5.75/5.99 Clause #114 (by clausification #[113]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.99 Or (Eq (environment a) False)
% 5.75/5.99 (Or (Eq (in_environment (skS.0 2 a_1) a) False) (Eq (in_environment a (skS.0 1 a a_2)) True))
% 5.75/5.99 Clause #115 (by superposition #[114, 99]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.75/5.99 Or (Eq (in_environment (skS.0 2 a) (skS.0 0 (skS.0 2 a_1) a_2)) False)
% 5.75/5.99 (Or (Eq (in_environment (skS.0 0 (skS.0 2 a_1) a_2) (skS.0 1 (skS.0 0 (skS.0 2 a_1) a_2) a_3)) True)
% 5.75/5.99 (Eq False True))
% 5.75/5.99 Clause #116 (by clausification #[53]): ∀ (a a_1 a_2 : Iota),
% 5.75/5.99 Or (Eq (slow_change (skS.0 2 a)) False)
% 5.75/5.99 (Or (Eq (environment a_1) False)
% 5.75/5.99 (Or (Eq (in_environment (skS.0 2 a) a_1) False) (Eq (greater (skS.0 1 a_1 a_2) (critical_point a_1)) True)))
% 5.85/6.02 Clause #117 (by forward demodulation #[116, 50]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq True False)
% 5.85/6.02 (Or (Eq (environment a) False)
% 5.85/6.02 (Or (Eq (in_environment (skS.0 2 a_1) a) False) (Eq (greater (skS.0 1 a a_2) (critical_point a)) True)))
% 5.85/6.02 Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq (environment a) False)
% 5.85/6.02 (Or (Eq (in_environment (skS.0 2 a_1) a) False) (Eq (greater (skS.0 1 a a_2) (critical_point a)) True))
% 5.85/6.02 Clause #119 (by superposition #[118, 99]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.85/6.02 Or (Eq (in_environment (skS.0 2 a) (skS.0 0 (skS.0 2 a_1) a_2)) False)
% 5.85/6.02 (Or (Eq (greater (skS.0 1 (skS.0 0 (skS.0 2 a_1) a_2) a_3) (critical_point (skS.0 0 (skS.0 2 a_1) a_2))) True)
% 5.85/6.02 (Eq False True))
% 5.85/6.02 Clause #120 (by clausification #[100]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) a_2) True)
% 5.85/6.02 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) a_2) False)
% 5.85/6.02 Clause #122 (by clausification #[103]): ∀ (a a_1 : Iota),
% 5.85/6.02 Or (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.02 (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) False)
% 5.85/6.02 Clause #123 (by clausification #[115]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.85/6.02 Or (Eq (in_environment (skS.0 2 a) (skS.0 0 (skS.0 2 a_1) a_2)) False)
% 5.85/6.02 (Eq (in_environment (skS.0 0 (skS.0 2 a_1) a_2) (skS.0 1 (skS.0 0 (skS.0 2 a_1) a_2) a_3)) True)
% 5.85/6.02 Clause #124 (by superposition #[123, 109]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True) (Eq False True)
% 5.85/6.02 Clause #125 (by clausification #[124]): ∀ (a a_1 a_2 : Iota), Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True
% 5.85/6.02 Clause #126 (by superposition #[125, 120]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True)
% 5.85/6.02 (Eq True False)
% 5.85/6.02 Clause #127 (by clausification #[126]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True
% 5.85/6.02 Clause #129 (by superposition #[127, 82]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq True False)
% 5.85/6.02 (Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True)
% 5.85/6.02 (Eq (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)))
% 5.85/6.02 Clause #130 (by clausification #[119]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.85/6.02 Or (Eq (in_environment (skS.0 2 a) (skS.0 0 (skS.0 2 a_1) a_2)) False)
% 5.85/6.02 (Eq (greater (skS.0 1 (skS.0 0 (skS.0 2 a_1) a_2) a_3) (critical_point (skS.0 0 (skS.0 2 a_1) a_2))) True)
% 5.85/6.02 Clause #131 (by superposition #[130, 109]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq (greater (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.02 (Eq False True)
% 5.85/6.02 Clause #132 (by clausification #[131]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Eq (greater (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True
% 5.85/6.02 Clause #133 (by superposition #[132, 64]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq (selection_favors efficient_producers first_movers (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True)
% 5.85/6.02 (Or (Eq True False)
% 5.85/6.02 (Or (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) False)
% 5.85/6.02 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) False)))
% 5.85/6.02 Clause #136 (by clausification #[111]): ∀ (a a_1 : Iota),
% 5.85/6.02 Or (Eq (greater (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.02 (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1)))
% 5.85/6.02 Clause #156 (by clausification #[129]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.02 Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True)
% 5.85/6.02 (Eq (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2))
% 5.85/6.02 Clause #157 (by superposition #[156, 69]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.85/6.02 Or (Eq (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2))
% 5.85/6.02 (Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) a_3) True)
% 5.85/6.04 (Or (Eq True False) (Eq (greater (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2) a_3) False)))
% 5.85/6.04 Clause #160 (by clausification #[133]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Or (Eq (selection_favors efficient_producers first_movers (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True)
% 5.85/6.04 (Or (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) False)
% 5.85/6.04 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) False))
% 5.85/6.04 Clause #161 (by forward demodulation #[160, 99]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Or (Eq (selection_favors efficient_producers first_movers (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True)
% 5.85/6.04 (Or (Eq True False) (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) False))
% 5.85/6.04 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Or (Eq (selection_favors efficient_producers first_movers (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True)
% 5.85/6.04 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) False)
% 5.85/6.04 Clause #163 (by superposition #[162, 125]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Or (Eq (selection_favors efficient_producers first_movers (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True)
% 5.85/6.04 (Eq False True)
% 5.85/6.04 Clause #164 (by clausification #[163]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Eq (selection_favors efficient_producers first_movers (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2)) True
% 5.85/6.04 Clause #166 (by clausification #[157]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.85/6.04 Or (Eq (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2))
% 5.85/6.04 (Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) a_3) True)
% 5.85/6.04 (Eq (greater (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2) a_3) False))
% 5.85/6.04 Clause #167 (by superposition #[166, 132]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Or (Eq (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2))
% 5.85/6.04 (Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.04 (Eq False True))
% 5.85/6.04 Clause #169 (by clausification #[167]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Or (Eq (end_time (skS.0 0 (skS.0 2 a) a_1)) (skS.0 1 (skS.0 0 (skS.0 2 a) a_1) a_2))
% 5.85/6.04 (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.04 Clause #176 (by superposition #[169, 164]): ∀ (a a_1 : Iota),
% 5.85/6.04 Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.04 (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.04 Clause #180 (by forward demodulation #[176, 106]): ∀ (a a_1 : Iota),
% 5.85/6.04 Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True) (Eq False True)
% 5.85/6.04 Clause #181 (by clausification #[180]): ∀ (a a_1 : Iota), Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True
% 5.85/6.04 Clause #182 (by superposition #[181, 64]): ∀ (a a_1 : Iota),
% 5.85/6.04 Or (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.04 (Or (Eq True False)
% 5.85/6.04 (Or (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) False)
% 5.85/6.04 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) False)))
% 5.85/6.04 Clause #183 (by superposition #[181, 69]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) a_2) True)
% 5.85/6.04 (Or (Eq True False) (Eq (greater (critical_point (skS.0 0 (skS.0 2 a) a_1)) a_2) False))
% 5.85/6.04 Clause #184 (by superposition #[181, 77]): ∀ (a a_1 : Iota),
% 5.85/6.04 Or (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.04 (Eq True False)
% 5.85/6.04 Clause #188 (by clausification #[184]): ∀ (a a_1 : Iota),
% 5.85/6.04 Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (critical_point (skS.0 0 (skS.0 2 a) a_1))) True
% 5.85/6.04 Clause #191 (by clausification #[183]): ∀ (a a_1 a_2 : Iota),
% 5.85/6.04 Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) a_2) True)
% 5.85/6.04 (Eq (greater (critical_point (skS.0 0 (skS.0 2 a) a_1)) a_2) False)
% 5.85/6.04 Clause #192 (by superposition #[191, 136]): ∀ (a a_1 : Iota),
% 5.85/6.04 Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.06 (Or (Eq False True) (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))))
% 5.85/6.06 Clause #197 (by clausification #[192]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq (greater (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.06 (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1)))
% 5.85/6.06 Clause #200 (by superposition #[197, 77]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1)))
% 5.85/6.06 (Or (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.06 (Eq True False))
% 5.85/6.06 Clause #201 (by clausification #[200]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1)))
% 5.85/6.06 (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.06 Clause #202 (by superposition #[201, 122]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1)))
% 5.85/6.06 (Or (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) True) (Eq True False))
% 5.85/6.06 Clause #205 (by clausification #[202]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1)))
% 5.85/6.06 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.06 Clause #209 (by clausification #[182]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq (selection_favors efficient_producers first_movers (end_time (skS.0 0 (skS.0 2 a) a_1))) True)
% 5.85/6.06 (Or (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) False)
% 5.85/6.06 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) False))
% 5.85/6.06 Clause #210 (by forward demodulation #[209, 106]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq False True)
% 5.85/6.06 (Or (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) False)
% 5.85/6.06 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) False))
% 5.85/6.06 Clause #211 (by clausification #[210]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq (environment (skS.0 0 (skS.0 2 a) a_1)) False)
% 5.85/6.06 (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) False)
% 5.85/6.06 Clause #212 (by forward demodulation #[211, 99]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq True False) (Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) False)
% 5.85/6.06 Clause #213 (by clausification #[212]): ∀ (a a_1 : Iota), Eq (in_environment (skS.0 0 (skS.0 2 a) a_1) (end_time (skS.0 0 (skS.0 2 a) a_1))) False
% 5.85/6.06 Clause #214 (by backward demodulation #[213, 122]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq False True)
% 5.85/6.06 (Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) False)
% 5.85/6.06 Clause #215 (by superposition #[213, 205]): ∀ (a a_1 : Iota),
% 5.85/6.06 Or (Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) (Eq False True)
% 5.85/6.06 Clause #216 (by clausification #[215]): ∀ (a a_1 : Iota), Eq (critical_point (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))
% 5.85/6.06 Clause #227 (by backward demodulation #[216, 188]): ∀ (a a_1 : Iota), Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) True
% 5.85/6.06 Clause #240 (by clausification #[214]): ∀ (a a_1 : Iota),
% 5.85/6.06 Eq (greater_or_equal (end_time (skS.0 0 (skS.0 2 a) a_1)) (start_time (skS.0 0 (skS.0 2 a) a_1))) False
% 5.85/6.06 Clause #241 (by superposition #[240, 227]): Eq False True
% 5.85/6.06 Clause #242 (by clausification #[241]): False
% 5.85/6.06 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------