%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MGT041+2 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:06:19 AM UTC 2026 % Result : Theorem 8.80s 9.06s % Output : Proof 8.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT041+2 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : duper %s % 0.13/0.37 % Computer : n003.cluster.edu % 0.13/0.37 % Model : x86_64 x86_64 % 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.37 % Memory : 8046.5625MB % 0.13/0.37 % OS : Linux 6.8.0-71-generic % 0.13/0.37 % CPULimit : 300 % 0.13/0.37 % WCLimit : 300 % 0.13/0.37 % DateTime : Mon Sep 7 13:03:39 UTC 2026 % 0.13/0.38 % CPUTime : % 8.80/9.06 SZS status Theorem for theBenchmark.p % 8.80/9.06 SZS output start Proof for theBenchmark.p % 8.80/9.06 Clause #0 (by assumption #[]): Eq (∀ (X T : Iota), Not (And (number_of_routines X T low) (number_of_routines X T high))) True % 8.80/9.06 Clause #1 (by assumption #[]): Eq % 8.80/9.06 (∀ (X T : Iota), % 8.80/9.06 And (And (organisation_at_time X T) (efficient_producer X)) (founding_time X T) → has_elaborated_routines X T) % 8.80/9.06 True % 8.80/9.06 Clause #2 (by assumption #[]): Eq % 8.80/9.06 (∀ (X T : Iota), % 8.80/9.06 And (And (organisation_at_time X T) (first_mover X)) (founding_time X T) → number_of_routines X T low) % 8.80/9.06 True % 8.80/9.06 Clause #3 (by assumption #[]): Eq % 8.80/9.06 (Exists fun X => % 8.80/9.06 Exists fun T => % 8.80/9.06 And (And (And (organisation_at_time X T) (founding_time X T)) (number_of_routines X T high)) % 8.80/9.06 (Not (has_elaborated_routines X T))) % 8.80/9.06 True % 8.80/9.06 Clause #4 (by assumption #[]): Eq % 8.80/9.06 (Not % 8.80/9.06 (Exists fun X => % 8.80/9.06 Exists fun T => And (And (organisation_at_time X T) (Not (first_mover X))) (Not (efficient_producer X)))) % 8.80/9.06 True % 8.80/9.06 Clause #5 (by clausification #[1]): ∀ (a : Iota), % 8.80/9.06 Eq % 8.80/9.06 (∀ (T : Iota), % 8.80/9.06 And (And (organisation_at_time a T) (efficient_producer a)) (founding_time a T) → has_elaborated_routines a T) % 8.80/9.06 True % 8.80/9.06 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), % 8.80/9.06 Eq % 8.80/9.06 (And (And (organisation_at_time a a_1) (efficient_producer a)) (founding_time a a_1) → % 8.80/9.06 has_elaborated_routines a a_1) % 8.80/9.06 True % 8.80/9.06 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), % 8.80/9.06 Or (Eq (And (And (organisation_at_time a a_1) (efficient_producer a)) (founding_time a a_1)) False) % 8.80/9.06 (Eq (has_elaborated_routines a a_1) True) % 8.80/9.06 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), % 8.80/9.06 Or (Eq (has_elaborated_routines a a_1) True) % 8.80/9.06 (Or (Eq (And (organisation_at_time a a_1) (efficient_producer a)) False) (Eq (founding_time a a_1) False)) % 8.80/9.06 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), % 8.80/9.06 Or (Eq (has_elaborated_routines a a_1) True) % 8.80/9.06 (Or (Eq (founding_time a a_1) False) (Or (Eq (organisation_at_time a a_1) False) (Eq (efficient_producer a) False))) % 8.80/9.06 Clause #10 (by clausification #[2]): ∀ (a : Iota), % 8.80/9.06 Eq % 8.80/9.06 (∀ (T : Iota), % 8.80/9.06 And (And (organisation_at_time a T) (first_mover a)) (founding_time a T) → number_of_routines a T low) % 8.80/9.06 True % 8.80/9.06 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), % 8.80/9.06 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 % 8.80/9.06 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), % 8.80/9.06 Or (Eq (And (And (organisation_at_time a a_1) (first_mover a)) (founding_time a a_1)) False) % 8.80/9.06 (Eq (number_of_routines a a_1 low) True) % 8.80/9.06 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), % 8.80/9.06 Or (Eq (number_of_routines a a_1 low) True) % 8.80/9.06 (Or (Eq (And (organisation_at_time a a_1) (first_mover a)) False) (Eq (founding_time a a_1) False)) % 8.80/9.06 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), % 8.80/9.06 Or (Eq (number_of_routines a a_1 low) True) % 8.80/9.06 (Or (Eq (founding_time a a_1) False) (Or (Eq (organisation_at_time a a_1) False) (Eq (first_mover a) False))) % 8.80/9.06 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 % 8.80/9.06 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 % 8.80/9.06 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 % 8.80/9.06 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) % 8.80/9.06 Clause #19 (by clausification #[4]): Eq % 8.80/9.06 (Exists fun X => % 8.80/9.06 Exists fun T => And (And (organisation_at_time X T) (Not (first_mover X))) (Not (efficient_producer X))) % 8.80/9.06 False % 8.80/9.06 Clause #20 (by clausification #[19]): ∀ (a : Iota), % 8.80/9.06 Eq (Exists fun T => And (And (organisation_at_time a T) (Not (first_mover a))) (Not (efficient_producer a))) False % 8.80/9.06 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 % 8.80/9.06 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (And (organisation_at_time a a_1) (Not (first_mover a))) False) (Eq (Not (efficient_producer a)) False) % 8.80/9.12 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (Not (efficient_producer a)) False) % 8.80/9.12 (Or (Eq (organisation_at_time a a_1) False) (Eq (Not (first_mover a)) False)) % 8.80/9.12 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (organisation_at_time a a_1) False) (Or (Eq (Not (first_mover a)) False) (Eq (efficient_producer a) True)) % 8.80/9.12 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (organisation_at_time a a_1) False) (Or (Eq (efficient_producer a) True) (Eq (first_mover a) True)) % 8.80/9.12 Clause #26 (by clausification #[3]): ∀ (a : Iota), % 8.80/9.12 Eq % 8.80/9.12 (Exists fun T => % 8.80/9.12 And % 8.80/9.12 (And (And (organisation_at_time (skS.0 0 a) T) (founding_time (skS.0 0 a) T)) % 8.80/9.12 (number_of_routines (skS.0 0 a) T high)) % 8.80/9.12 (Not (has_elaborated_routines (skS.0 0 a) T))) % 8.80/9.12 True % 8.80/9.12 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), % 8.80/9.12 Eq % 8.80/9.12 (And % 8.80/9.12 (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))) % 8.80/9.12 (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) high)) % 8.80/9.12 (Not (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)))) % 8.80/9.12 True % 8.80/9.12 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 % 8.80/9.12 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota), % 8.80/9.12 Eq % 8.80/9.12 (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))) % 8.80/9.12 (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) high)) % 8.80/9.12 True % 8.80/9.12 Clause #30 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) False % 8.80/9.12 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 % 8.80/9.12 Clause #32 (by clausification #[29]): ∀ (a a_1 : Iota), % 8.80/9.12 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 % 8.80/9.12 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (founding_time (skS.0 0 a) (skS.0 1 a a_1)) True % 8.80/9.12 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) True % 8.80/9.12 Clause #35 (by superposition #[33, 9]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True) % 8.80/9.12 (Or (Eq True False) % 8.80/9.12 (Or (Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (efficient_producer (skS.0 0 a)) False))) % 8.80/9.12 Clause #36 (by superposition #[33, 14]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True) % 8.80/9.12 (Or (Eq True False) % 8.80/9.12 (Or (Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (first_mover (skS.0 0 a)) False))) % 8.80/9.12 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)) % 8.80/9.12 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (efficient_producer (skS.0 0 a)) True) (Eq (first_mover (skS.0 0 a)) True) % 8.80/9.12 Clause #39 (by clausification #[35]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True) % 8.80/9.12 (Or (Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (efficient_producer (skS.0 0 a)) False)) % 8.80/9.12 Clause #40 (by forward demodulation #[39, 34]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True) % 8.80/9.12 (Or (Eq True False) (Eq (efficient_producer (skS.0 0 a)) False)) % 8.80/9.12 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq (efficient_producer (skS.0 0 a)) False) % 8.80/9.12 Clause #42 (by clausification #[36]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True) % 8.80/9.12 (Or (Eq (organisation_at_time (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (first_mover (skS.0 0 a)) False)) % 8.80/9.12 Clause #43 (by forward demodulation #[42, 34]): ∀ (a a_1 : Iota), % 8.80/9.12 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True) % 8.90/9.14 (Or (Eq True False) (Eq (first_mover (skS.0 0 a)) False)) % 8.90/9.14 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) % 8.90/9.14 Clause #45 (by superposition #[44, 38]): ∀ (a a_1 : Iota), % 8.90/9.14 Or (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) low) True) % 8.90/9.14 (Or (Eq (efficient_producer (skS.0 0 a)) True) (Eq False True)) % 8.90/9.14 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), % 8.90/9.14 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) % 8.90/9.14 Clause #47 (by superposition #[46, 18]): ∀ (a a_1 : Iota), % 8.90/9.14 Or (Eq (efficient_producer (skS.0 0 a)) True) % 8.90/9.14 (Or (Eq True False) (Eq (number_of_routines (skS.0 0 a) (skS.0 1 a a_1) high) False)) % 8.90/9.14 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), % 8.90/9.14 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) % 8.90/9.14 Clause #49 (by superposition #[48, 31]): ∀ (a : Iota), Or (Eq (efficient_producer (skS.0 0 a)) True) (Eq False True) % 8.90/9.14 Clause #50 (by clausification #[49]): ∀ (a : Iota), Eq (efficient_producer (skS.0 0 a)) True % 8.90/9.14 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) % 8.90/9.14 Clause #55 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (has_elaborated_routines (skS.0 0 a) (skS.0 1 a a_1)) True % 8.90/9.14 Clause #56 (by superposition #[55, 30]): Eq True False % 8.90/9.14 Clause #57 (by clausification #[56]): False % 8.90/9.14 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------