TSTP Solution File: MGT022+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : MGT022+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 3.84s 3.99s
% Output : Proof 3.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT022+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n001.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 07:05:35 EDT 2023
% 0.20/0.35 % CPUTime :
% 3.84/3.99 SZS status Theorem for theBenchmark.p
% 3.84/3.99 SZS output start Proof for theBenchmark.p
% 3.84/3.99 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), constant X → Not (decreases X)) True
% 3.84/3.99 Clause #1 (by assumption #[]): Eq
% 3.84/3.99 (∀ (E S1 S2 T : Iota),
% 3.84/3.99 And (And (environment E) (subpopulations S1 S2 E T)) (greater (resilience S2) (resilience S1)) →
% 3.84/3.99 And (decreases (resources E T) → increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))
% 3.84/3.99 (constant (resources E T) → constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T))))
% 3.84/3.99 True
% 3.84/3.99 Clause #2 (by assumption #[]): Eq (greater (resilience efficient_producers) (resilience first_movers)) True
% 3.84/3.99 Clause #3 (by assumption #[]): Eq
% 3.84/3.99 (Not
% 3.84/3.99 (∀ (E T : Iota),
% 3.84/3.99 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 3.84/3.99 And
% 3.84/3.99 (decreases (resources E T) →
% 3.84/3.99 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))
% 3.84/3.99 (constant (resources E T) →
% 3.84/3.99 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))))
% 3.84/3.99 True
% 3.84/3.99 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (constant a → Not (decreases a)) True
% 3.84/3.99 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (constant a) False) (Eq (Not (decreases a)) True)
% 3.84/3.99 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (constant a) False) (Eq (decreases a) False)
% 3.84/3.99 Clause #7 (by clausification #[1]): ∀ (a : Iota),
% 3.84/3.99 Eq
% 3.84/3.99 (∀ (S1 S2 T : Iota),
% 3.84/3.99 And (And (environment a) (subpopulations S1 S2 a T)) (greater (resilience S2) (resilience S1)) →
% 3.84/3.99 And (decreases (resources a T) → increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))
% 3.84/3.99 (constant (resources a T) → constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T))))
% 3.84/3.99 True
% 3.84/3.99 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 3.84/3.99 Eq
% 3.84/3.99 (∀ (S2 T : Iota),
% 3.84/3.99 And (And (environment a) (subpopulations a_1 S2 a T)) (greater (resilience S2) (resilience a_1)) →
% 3.84/3.99 And (decreases (resources a T) → increases (difference (disbanding_rate a_1 T) (disbanding_rate S2 T)))
% 3.84/3.99 (constant (resources a T) → constant (difference (disbanding_rate a_1 T) (disbanding_rate S2 T))))
% 3.84/3.99 True
% 3.84/3.99 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 3.84/3.99 Eq
% 3.84/3.99 (∀ (T : Iota),
% 3.84/3.99 And (And (environment a) (subpopulations a_1 a_2 a T)) (greater (resilience a_2) (resilience a_1)) →
% 3.84/3.99 And (decreases (resources a T) → increases (difference (disbanding_rate a_1 T) (disbanding_rate a_2 T)))
% 3.84/3.99 (constant (resources a T) → constant (difference (disbanding_rate a_1 T) (disbanding_rate a_2 T))))
% 3.84/3.99 True
% 3.84/3.99 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/3.99 Eq
% 3.84/3.99 (And (And (environment a) (subpopulations a_1 a_2 a a_3)) (greater (resilience a_2) (resilience a_1)) →
% 3.84/3.99 And (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3)))
% 3.84/3.99 (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))))
% 3.84/3.99 True
% 3.84/3.99 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/3.99 Or (Eq (And (And (environment a) (subpopulations a_1 a_2 a a_3)) (greater (resilience a_2) (resilience a_1))) False)
% 3.84/3.99 (Eq
% 3.84/3.99 (And (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3)))
% 3.84/3.99 (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3))))
% 3.84/3.99 True)
% 3.84/3.99 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/3.99 Or
% 3.84/3.99 (Eq
% 3.84/3.99 (And (decreases (resources a a_1) → increases (difference (disbanding_rate a_2 a_1) (disbanding_rate a_3 a_1)))
% 3.84/3.99 (constant (resources a a_1) → constant (difference (disbanding_rate a_2 a_1) (disbanding_rate a_3 a_1))))
% 3.84/3.99 True)
% 3.84/3.99 (Or (Eq (And (environment a) (subpopulations a_2 a_3 a a_1)) False)
% 3.84/3.99 (Eq (greater (resilience a_3) (resilience a_2)) False))
% 3.84/3.99 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.01 Or (Eq (And (environment a) (subpopulations a_1 a_2 a a_3)) False)
% 3.84/4.01 (Or (Eq (greater (resilience a_2) (resilience a_1)) False)
% 3.84/4.01 (Eq (constant (resources a a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3)))
% 3.84/4.01 True))
% 3.84/4.01 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.01 Or (Eq (And (environment a) (subpopulations a_1 a_2 a a_3)) False)
% 3.84/4.01 (Or (Eq (greater (resilience a_2) (resilience a_1)) False)
% 3.84/4.01 (Eq (decreases (resources a a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a_2 a_3)))
% 3.84/4.01 True))
% 3.84/4.01 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.01 Or (Eq (greater (resilience a) (resilience a_1)) False)
% 3.84/4.01 (Or
% 3.84/4.01 (Eq (constant (resources a_2 a_3) → constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True)
% 3.84/4.01 (Or (Eq (environment a_2) False) (Eq (subpopulations a_1 a a_2 a_3) False)))
% 3.84/4.01 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.01 Or (Eq (greater (resilience a) (resilience a_1)) False)
% 3.84/4.01 (Or (Eq (environment a_2) False)
% 3.84/4.01 (Or (Eq (subpopulations a_1 a a_2 a_3) False)
% 3.84/4.01 (Or (Eq (constant (resources a_2 a_3)) False)
% 3.84/4.01 (Eq (constant (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True))))
% 3.84/4.01 Clause #17 (by superposition #[16, 2]): ∀ (a a_1 : Iota),
% 3.84/4.01 Or (Eq (environment a) False)
% 3.84/4.01 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.84/4.01 (Or (Eq (constant (resources a a_1)) False)
% 3.84/4.01 (Or
% 3.84/4.01 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)
% 3.84/4.01 (Eq False True))))
% 3.84/4.01 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 3.84/4.01 Or (Eq (environment a) False)
% 3.84/4.01 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.84/4.01 (Or (Eq (constant (resources a a_1)) False)
% 3.84/4.01 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)))
% 3.84/4.01 Clause #19 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.01 Or (Eq (greater (resilience a) (resilience a_1)) False)
% 3.84/4.01 (Or
% 3.84/4.01 (Eq (decreases (resources a_2 a_3) → increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3)))
% 3.84/4.01 True)
% 3.84/4.01 (Or (Eq (environment a_2) False) (Eq (subpopulations a_1 a a_2 a_3) False)))
% 3.84/4.01 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.01 Or (Eq (greater (resilience a) (resilience a_1)) False)
% 3.84/4.01 (Or (Eq (environment a_2) False)
% 3.84/4.01 (Or (Eq (subpopulations a_1 a a_2 a_3) False)
% 3.84/4.01 (Or (Eq (decreases (resources a_2 a_3)) False)
% 3.84/4.01 (Eq (increases (difference (disbanding_rate a_1 a_3) (disbanding_rate a a_3))) True))))
% 3.84/4.01 Clause #21 (by superposition #[20, 2]): ∀ (a a_1 : Iota),
% 3.84/4.01 Or (Eq (environment a) False)
% 3.84/4.01 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.84/4.01 (Or (Eq (decreases (resources a a_1)) False)
% 3.84/4.01 (Or
% 3.84/4.01 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))
% 3.84/4.01 True)
% 3.84/4.01 (Eq False True))))
% 3.84/4.01 Clause #22 (by clausification #[3]): Eq
% 3.84/4.01 (∀ (E T : Iota),
% 3.84/4.01 And (environment E) (subpopulations first_movers efficient_producers E T) →
% 3.84/4.01 And
% 3.84/4.01 (decreases (resources E T) →
% 3.84/4.01 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))
% 3.84/4.01 (constant (resources E T) →
% 3.84/4.01 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))
% 3.84/4.01 False
% 3.84/4.01 Clause #23 (by clausification #[22]): ∀ (a : Iota),
% 3.84/4.01 Eq
% 3.84/4.01 (Not
% 3.84/4.01 (∀ (T : Iota),
% 3.84/4.01 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) →
% 3.84/4.01 And
% 3.84/4.01 (decreases (resources (skS.0 0 a) T) →
% 3.84/4.01 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))
% 3.84/4.01 (constant (resources (skS.0 0 a) T) →
% 3.84/4.01 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T))))))
% 3.84/4.03 True
% 3.84/4.03 Clause #24 (by clausification #[23]): ∀ (a : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (∀ (T : Iota),
% 3.84/4.03 And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) T) →
% 3.84/4.03 And
% 3.84/4.03 (decreases (resources (skS.0 0 a) T) →
% 3.84/4.03 increases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))
% 3.84/4.03 (constant (resources (skS.0 0 a) T) →
% 3.84/4.03 Not (decreases (difference (disbanding_rate first_movers T) (disbanding_rate efficient_producers T)))))
% 3.84/4.03 False
% 3.84/4.03 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (Not
% 3.84/4.03 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.03 And
% 3.84/4.03 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.03 increases
% 3.84/4.03 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.03 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.03 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.03 Not
% 3.84/4.03 (decreases
% 3.84/4.03 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.03 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))))
% 3.84/4.03 True
% 3.84/4.03 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.03 And
% 3.84/4.03 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.03 increases
% 3.84/4.03 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.03 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.03 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.03 Not
% 3.84/4.03 (decreases
% 3.84/4.03 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.03 (disbanding_rate efficient_producers (skS.0 1 a a_1))))))
% 3.84/4.03 False
% 3.84/4.03 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota),
% 3.84/4.03 Eq (And (environment (skS.0 0 a)) (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.84/4.03 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (And
% 3.84/4.03 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.03 increases
% 3.84/4.03 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.03 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.03 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.03 Not
% 3.84/4.03 (decreases
% 3.84/4.03 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.03 (disbanding_rate efficient_producers (skS.0 1 a a_1))))))
% 3.84/4.03 False
% 3.84/4.03 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (subpopulations first_movers efficient_producers (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.84/4.03 Clause #30 (by clausification #[27]): ∀ (a : Iota), Eq (environment (skS.0 0 a)) True
% 3.84/4.03 Clause #31 (by superposition #[30, 18]): ∀ (a a_1 : Iota),
% 3.84/4.03 Or (Eq True False)
% 3.84/4.03 (Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.84/4.03 (Or (Eq (constant (resources (skS.0 0 a) a_1)) False)
% 3.84/4.03 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)))
% 3.84/4.03 Clause #32 (by clausification #[21]): ∀ (a a_1 : Iota),
% 3.84/4.03 Or (Eq (environment a) False)
% 3.84/4.03 (Or (Eq (subpopulations first_movers efficient_producers a a_1) False)
% 3.84/4.03 (Or (Eq (decreases (resources a a_1)) False)
% 3.84/4.03 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1)))
% 3.84/4.03 True)))
% 3.84/4.03 Clause #33 (by superposition #[32, 30]): ∀ (a a_1 : Iota),
% 3.84/4.03 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.84/4.03 (Or (Eq (decreases (resources (skS.0 0 a) a_1)) False)
% 3.84/4.03 (Or
% 3.84/4.03 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True)
% 3.84/4.03 (Eq False True)))
% 3.84/4.03 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 3.84/4.03 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.84/4.04 (Or (Eq (decreases (resources (skS.0 0 a) a_1)) False)
% 3.84/4.04 (Eq (increases (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True))
% 3.84/4.04 Clause #35 (by superposition #[34, 29]): ∀ (a a_1 : Iota),
% 3.84/4.04 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.84/4.04 (Or
% 3.84/4.04 (Eq
% 3.84/4.04 (increases
% 3.84/4.04 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.04 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.04 True)
% 3.84/4.04 (Eq False True))
% 3.84/4.04 Clause #36 (by clausification #[31]): ∀ (a a_1 : Iota),
% 3.84/4.04 Or (Eq (subpopulations first_movers efficient_producers (skS.0 0 a) a_1) False)
% 3.84/4.04 (Or (Eq (constant (resources (skS.0 0 a) a_1)) False)
% 3.84/4.04 (Eq (constant (difference (disbanding_rate first_movers a_1) (disbanding_rate efficient_producers a_1))) True))
% 3.84/4.04 Clause #37 (by superposition #[36, 29]): ∀ (a a_1 : Iota),
% 3.84/4.04 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.84/4.04 (Or
% 3.84/4.04 (Eq
% 3.84/4.04 (constant
% 3.84/4.04 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.04 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.04 True)
% 3.84/4.04 (Eq False True))
% 3.84/4.04 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 3.84/4.04 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.84/4.04 (Eq
% 3.84/4.04 (constant
% 3.84/4.04 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.04 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.04 True)
% 3.84/4.04 Clause #39 (by clausification #[28]): ∀ (a a_1 : Iota),
% 3.84/4.04 Or
% 3.84/4.04 (Eq
% 3.84/4.04 (decreases (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.04 increases
% 3.84/4.04 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.04 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.04 False)
% 3.84/4.04 (Eq
% 3.84/4.04 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.04 Not
% 3.84/4.04 (decreases
% 3.84/4.04 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.04 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))
% 3.84/4.04 False)
% 3.84/4.04 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 3.84/4.04 Or
% 3.84/4.04 (Eq
% 3.84/4.04 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.04 Not
% 3.84/4.04 (decreases
% 3.84/4.04 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.04 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))
% 3.84/4.04 False)
% 3.84/4.04 (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.04 Clause #41 (by clausification #[39]): ∀ (a a_1 : Iota),
% 3.84/4.04 Or
% 3.84/4.04 (Eq
% 3.84/4.04 (constant (resources (skS.0 0 a) (skS.0 1 a a_1)) →
% 3.84/4.04 Not
% 3.84/4.04 (decreases
% 3.84/4.04 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.04 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))
% 3.84/4.04 False)
% 3.84/4.04 (Eq
% 3.84/4.04 (increases
% 3.84/4.04 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.04 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.04 False)
% 3.84/4.04 Clause #42 (by clausification #[40]): ∀ (a a_1 : Iota),
% 3.84/4.04 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.04 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.05 Clause #43 (by clausification #[40]): ∀ (a a_1 : Iota),
% 3.84/4.05 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.05 (Eq
% 3.84/4.05 (Not
% 3.84/4.05 (decreases
% 3.84/4.05 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.05 (disbanding_rate efficient_producers (skS.0 1 a a_1)))))
% 3.84/4.05 False)
% 3.84/4.05 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 3.84/4.05 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.05 (Eq
% 3.84/4.05 (decreases
% 3.84/4.05 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.05 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.05 True)
% 3.84/4.05 Clause #45 (by clausification #[35]): ∀ (a a_1 : Iota),
% 3.84/4.05 Or (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.84/4.05 (Eq
% 3.84/4.05 (increases
% 3.84/4.05 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.05 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.05 True)
% 3.84/4.05 Clause #46 (by superposition #[45, 42]): ∀ (a a_1 : Iota),
% 3.84/4.05 Or
% 3.84/4.05 (Eq
% 3.84/4.05 (increases
% 3.84/4.05 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.06 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 True)
% 3.84/4.06 (Or (Eq False True) (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True))
% 3.84/4.06 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota),
% 3.84/4.06 Or
% 3.84/4.06 (Eq
% 3.84/4.06 (increases
% 3.84/4.06 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.06 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 True)
% 3.84/4.06 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.06 Clause #48 (by clausification #[41]): ∀ (a a_1 : Iota),
% 3.84/4.06 Or
% 3.84/4.06 (Eq
% 3.84/4.06 (increases
% 3.84/4.06 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.06 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 False)
% 3.84/4.06 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.06 Clause #50 (by superposition #[48, 47]): ∀ (a a_1 : Iota),
% 3.84/4.06 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.06 (Or (Eq False True) (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True))
% 3.84/4.06 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota),
% 3.84/4.06 Or (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.06 (Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True)
% 3.84/4.06 Clause #52 (by eliminate duplicate literals #[51]): ∀ (a a_1 : Iota), Eq (constant (resources (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.84/4.06 Clause #53 (by backward demodulation #[52, 38]): ∀ (a a_1 : Iota),
% 3.84/4.06 Or (Eq True False)
% 3.84/4.06 (Eq
% 3.84/4.06 (constant
% 3.84/4.06 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.06 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 True)
% 3.84/4.06 Clause #57 (by superposition #[52, 6]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False)
% 3.84/4.06 Clause #59 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (decreases (resources (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.84/4.06 Clause #60 (by backward demodulation #[59, 44]): ∀ (a a_1 : Iota),
% 3.84/4.06 Or (Eq False True)
% 3.84/4.06 (Eq
% 3.84/4.06 (decreases
% 3.84/4.06 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.06 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 True)
% 3.84/4.06 Clause #62 (by clausification #[53]): ∀ (a a_1 : Iota),
% 3.84/4.06 Eq
% 3.84/4.06 (constant
% 3.84/4.06 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 True
% 3.84/4.06 Clause #63 (by superposition #[62, 6]): ∀ (a a_1 : Iota),
% 3.84/4.06 Or (Eq True False)
% 3.84/4.06 (Eq
% 3.84/4.06 (decreases
% 3.84/4.06 (difference (disbanding_rate first_movers (skS.0 1 a a_1))
% 3.84/4.06 (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 False)
% 3.84/4.06 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota),
% 3.84/4.06 Eq
% 3.84/4.06 (decreases
% 3.84/4.06 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 False
% 3.84/4.06 Clause #67 (by clausification #[60]): ∀ (a a_1 : Iota),
% 3.84/4.06 Eq
% 3.84/4.06 (decreases
% 3.84/4.06 (difference (disbanding_rate first_movers (skS.0 1 a a_1)) (disbanding_rate efficient_producers (skS.0 1 a a_1))))
% 3.84/4.06 True
% 3.84/4.06 Clause #68 (by superposition #[67, 64]): Eq True False
% 3.84/4.06 Clause #69 (by clausification #[68]): False
% 3.84/4.06 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------