TSTP Solution File: MGT041+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : MGT041+2 : 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 09:10:09 EDT 2023
% Result : Theorem 3.53s 3.70s
% Output : Proof 3.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT041+2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : duper %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 06:09:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.53/3.70 SZS status Theorem for theBenchmark.p
% 3.53/3.70 SZS output start Proof for theBenchmark.p
% 3.53/3.70 Clause #0 (by assumption #[]): Eq (∀ (X T : Iota), Not (And (number_of_routines X T low) (number_of_routines X T high))) True
% 3.53/3.70 Clause #1 (by assumption #[]): Eq
% 3.53/3.70 (∀ (X T : Iota),
% 3.53/3.70 And (And (organisation_at_time X T) (efficient_producer X)) (founding_time X T) → has_elaborated_routines X T)
% 3.53/3.70 True
% 3.53/3.70 Clause #2 (by assumption #[]): Eq
% 3.53/3.70 (∀ (X T : Iota),
% 3.53/3.70 And (And (organisation_at_time X T) (first_mover X)) (founding_time X T) → number_of_routines X T low)
% 3.53/3.70 True
% 3.53/3.70 Clause #3 (by assumption #[]): Eq
% 3.53/3.70 (Exists fun X =>
% 3.53/3.70 Exists fun T =>
% 3.53/3.70 And (And (And (organisation_at_time X T) (founding_time X T)) (number_of_routines X T high))
% 3.53/3.70 (Not (has_elaborated_routines X T)))
% 3.53/3.70 True
% 3.53/3.70 Clause #4 (by assumption #[]): Eq
% 3.53/3.70 (Not
% 3.53/3.70 (Exists fun X =>
% 3.53/3.70 Exists fun T => And (And (organisation_at_time X T) (Not (first_mover X))) (Not (efficient_producer X))))
% 3.53/3.70 True
% 3.53/3.70 Clause #5 (by clausification #[1]): ∀ (a : Iota),
% 3.53/3.70 Eq
% 3.53/3.70 (∀ (T : Iota),
% 3.53/3.70 And (And (organisation_at_time a T) (efficient_producer a)) (founding_time a T) → has_elaborated_routines a T)
% 3.53/3.70 True
% 3.53/3.70 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota),
% 3.53/3.70 Eq
% 3.53/3.70 (And (And (organisation_at_time a a_1) (efficient_producer a)) (founding_time a a_1) →
% 3.53/3.70 has_elaborated_routines a a_1)
% 3.53/3.70 True
% 3.53/3.70 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 3.53/3.70 Or (Eq (And (And (organisation_at_time a a_1) (efficient_producer a)) (founding_time a a_1)) False)
% 3.53/3.70 (Eq (has_elaborated_routines a a_1) True)
% 3.53/3.70 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 3.53/3.70 Or (Eq (has_elaborated_routines a a_1) True)
% 3.53/3.70 (Or (Eq (And (organisation_at_time a a_1) (efficient_producer a)) False) (Eq (founding_time a a_1) False))
% 3.53/3.70 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota),
% 3.53/3.70 Or (Eq (has_elaborated_routines a a_1) True)
% 3.53/3.70 (Or (Eq (founding_time a a_1) False) (Or (Eq (organisation_at_time a a_1) False) (Eq (efficient_producer a) False)))
% 3.53/3.70 Clause #10 (by clausification #[2]): ∀ (a : Iota),
% 3.53/3.70 Eq
% 3.53/3.70 (∀ (T : Iota),
% 3.53/3.70 And (And (organisation_at_time a T) (first_mover a)) (founding_time a T) → number_of_routines a T low)
% 3.53/3.70 True
% 3.53/3.70 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota),
% 3.53/3.70 Eq (And (And (organisation_at_time a a_1) (first_mover a)) (founding_time a a_1) → number_of_routines a a_1 low) True
% 3.53/3.70 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota),
% 3.53/3.70 Or (Eq (And (And (organisation_at_time a a_1) (first_mover a)) (founding_time a a_1)) False)
% 3.53/3.70 (Eq (number_of_routines a a_1 low) True)
% 3.53/3.70 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota),
% 3.53/3.70 Or (Eq (number_of_routines a a_1 low) True)
% 3.53/3.70 (Or (Eq (And (organisation_at_time a a_1) (first_mover a)) False) (Eq (founding_time a a_1) False))
% 3.53/3.70 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota),
% 3.53/3.70 Or (Eq (number_of_routines a a_1 low) True)
% 3.53/3.70 (Or (Eq (founding_time a a_1) False) (Or (Eq (organisation_at_time a a_1) False) (Eq (first_mover a) False)))
% 3.53/3.70 Clause #15 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (T : Iota), Not (And (number_of_routines a T low) (number_of_routines a T high))) True
% 3.53/3.70 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Not (And (number_of_routines a a_1 low) (number_of_routines a a_1 high))) True
% 3.53/3.70 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (And (number_of_routines a a_1 low) (number_of_routines a a_1 high)) False
% 3.53/3.70 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (number_of_routines a a_1 low) False) (Eq (number_of_routines a a_1 high) False)
% 3.53/3.70 Clause #19 (by clausification #[4]): Eq
% 3.53/3.70 (Exists fun X =>
% 3.53/3.70 Exists fun T => And (And (organisation_at_time X T) (Not (first_mover X))) (Not (efficient_producer X)))
% 3.53/3.70 False
% 3.53/3.70 Clause #20 (by clausification #[19]): ∀ (a : Iota),
% 3.53/3.70 Eq (Exists fun T => And (And (organisation_at_time a T) (Not (first_mover a))) (Not (efficient_producer a))) False
% 3.53/3.70 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (And (And (organisation_at_time a a_1) (Not (first_mover a))) (Not (efficient_producer a))) False
% 3.53/3.70 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (And (organisation_at_time a a_1) (Not (first_mover a))) False) (Eq (Not (efficient_producer a)) False)
% 3.53/3.72 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (Not (efficient_producer a)) False)
% 3.53/3.72 (Or (Eq (organisation_at_time a a_1) False) (Eq (Not (first_mover a)) False))
% 3.53/3.72 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (organisation_at_time a a_1) False) (Or (Eq (Not (first_mover a)) False) (Eq (efficient_producer a) True))
% 3.53/3.72 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (organisation_at_time a a_1) False) (Or (Eq (efficient_producer a) True) (Eq (first_mover a) True))
% 3.53/3.72 Clause #26 (by clausification #[3]): ∀ (a : Iota),
% 3.53/3.72 Eq
% 3.53/3.72 (Exists fun T =>
% 3.53/3.72 And
% 3.53/3.72 (And (And (organisation_at_time (skS.0 0 a) T) (founding_time (skS.0 0 a) T))
% 3.53/3.72 (number_of_routines (skS.0 0 a) T high))
% 3.53/3.72 (Not (has_elaborated_routines (skS.0 0 a) T)))
% 3.53/3.72 True
% 3.53/3.72 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota),
% 3.53/3.72 Eq
% 3.53/3.72 (And
% 3.53/3.72 (And (And (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) (founding_time (skS.0 0 a) (skS.0 1 a a_1)))
% 3.53/3.72 (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) high))
% 3.53/3.72 (Not (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1))))
% 3.53/3.72 True
% 3.53/3.72 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Not (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.53/3.72 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota),
% 3.53/3.72 Eq
% 3.53/3.72 (And (And (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) (founding_time (skS.0 0 a) (skS.0 1 a a_1)))
% 3.53/3.72 (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) high))
% 3.53/3.72 True
% 3.53/3.72 Clause #30 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) False
% 3.53/3.72 Clause #31 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) high) True
% 3.53/3.72 Clause #32 (by clausification #[29]): ∀ (a a_1 : Iota),
% 3.53/3.72 Eq (And (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) (founding_time (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.53/3.72 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (founding_time (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.53/3.72 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.53/3.72 Clause #35 (by superposition #[33, 9]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True)
% 3.53/3.72 (Or (Eq True False)
% 3.53/3.72 (Or (Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (efficient_producer (skS.0 0 a)) False)))
% 3.53/3.72 Clause #36 (by superposition #[33, 14]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True)
% 3.53/3.72 (Or (Eq True False)
% 3.53/3.72 (Or (Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (first_mover (skS.0 0 a)) False)))
% 3.53/3.72 Clause #37 (by superposition #[34, 25]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (efficient_producer (skS.0 0 a)) True) (Eq (first_mover (skS.0 0 a)) True))
% 3.53/3.72 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (efficient_producer (skS.0 0 a)) True) (Eq (first_mover (skS.0 0 a)) True)
% 3.53/3.72 Clause #39 (by clausification #[35]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True)
% 3.53/3.72 (Or (Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (efficient_producer (skS.0 0 a)) False))
% 3.53/3.72 Clause #40 (by forward demodulation #[39, 34]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True)
% 3.53/3.72 (Or (Eq True False) (Eq (efficient_producer (skS.0 0 a)) False))
% 3.53/3.72 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq (efficient_producer (skS.0 0 a)) False)
% 3.53/3.72 Clause #42 (by clausification #[36]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True)
% 3.53/3.72 (Or (Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (first_mover (skS.0 0 a)) False))
% 3.53/3.72 Clause #43 (by forward demodulation #[42, 34]): ∀ (a a_1 : Iota),
% 3.53/3.72 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True)
% 3.53/3.73 (Or (Eq True False) (Eq (first_mover (skS.0 0 a)) False))
% 3.53/3.73 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True) (Eq (first_mover (skS.0 0 a)) False)
% 3.53/3.73 Clause #45 (by superposition #[44, 38]): ∀ (a a_1 : Iota),
% 3.53/3.73 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True)
% 3.53/3.73 (Or (Eq (efficient_producer (skS.0 0 a)) True) (Eq False True))
% 3.53/3.73 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota),
% 3.53/3.73 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True) (Eq (efficient_producer (skS.0 0 a)) True)
% 3.53/3.73 Clause #47 (by superposition #[46, 18]): ∀ (a a_1 : Iota),
% 3.53/3.73 Or (Eq (efficient_producer (skS.0 0 a)) True)
% 3.53/3.73 (Or (Eq True False) (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) high) False))
% 3.53/3.73 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 3.53/3.73 Or (Eq (efficient_producer (skS.0 0 a)) True) (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) high) False)
% 3.53/3.73 Clause #49 (by superposition #[48, 31]): ∀ (a : Iota), Or (Eq (efficient_producer (skS.0 0 a)) True) (Eq False True)
% 3.53/3.73 Clause #50 (by clausification #[49]): ∀ (a : Iota), Eq (efficient_producer (skS.0 0 a)) True
% 3.53/3.73 Clause #52 (by backward demodulation #[50, 41]): ∀ (a a_1 : Iota), Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 3.53/3.73 Clause #55 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.53/3.73 Clause #56 (by superposition #[55, 30]): Eq True False
% 3.53/3.73 Clause #57 (by clausification #[56]): False
% 3.53/3.73 SZS output end Proof for theBenchmark.p
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