TSTP Solution File: MGT049+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 09:10:11 EDT 2023
% Result : Theorem 19.23s 19.44s
% Output : Proof 19.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT049+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:23:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 19.23/19.44 SZS status Theorem for theBenchmark.p
% 19.23/19.44 SZS output start Proof for theBenchmark.p
% 19.23/19.44 Clause #6 (by assumption #[]): Eq
% 19.23/19.44 (∀ (X T0 T : Iota),
% 19.23/19.44 organization X →
% 19.23/19.44 And (greater (external_ties X T) (external_ties X T0) → greater (position X T) (position X T0))
% 19.23/19.44 (Eq (external_ties X T) (external_ties X T0) → Eq (position X T) (position X T0)))
% 19.23/19.44 True
% 19.23/19.44 Clause #7 (by assumption #[]): Eq (∀ (X T0 T : Iota), organization X → Eq (external_ties X T) (external_ties X T0)) True
% 19.23/19.44 Clause #8 (by assumption #[]): Eq (Not (∀ (X T0 T : Iota), And (organization X) (greater (age X T) (age X T0)) → Eq (position X T) (position X T0)))
% 19.23/19.44 True
% 19.23/19.44 Clause #22 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (T0 T : Iota), organization a → Eq (external_ties a T) (external_ties a T0)) True
% 19.23/19.44 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (∀ (T : Iota), organization a → Eq (external_ties a T) (external_ties a a_1)) True
% 19.23/19.44 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Eq (organization a → Eq (external_ties a a_1) (external_ties a a_2)) True
% 19.23/19.44 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Or (Eq (organization a) False) (Eq (Eq (external_ties a a_1) (external_ties a a_2)) True)
% 19.23/19.44 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), Or (Eq (organization a) False) (Eq (external_ties a a_1) (external_ties a a_2))
% 19.23/19.44 Clause #39 (by clausification #[8]): Eq (∀ (X T0 T : Iota), And (organization X) (greater (age X T) (age X T0)) → Eq (position X T) (position X T0)) False
% 19.23/19.44 Clause #40 (by clausification #[39]): ∀ (a : Iota),
% 19.23/19.44 Eq
% 19.23/19.44 (Not
% 19.23/19.44 (∀ (T0 T : Iota),
% 19.23/19.44 And (organization (skS.0 0 a)) (greater (age (skS.0 0 a) T) (age (skS.0 0 a) T0)) →
% 19.23/19.44 Eq (position (skS.0 0 a) T) (position (skS.0 0 a) T0)))
% 19.23/19.44 True
% 19.23/19.44 Clause #41 (by clausification #[40]): ∀ (a : Iota),
% 19.23/19.44 Eq
% 19.23/19.44 (∀ (T0 T : Iota),
% 19.23/19.44 And (organization (skS.0 0 a)) (greater (age (skS.0 0 a) T) (age (skS.0 0 a) T0)) →
% 19.23/19.44 Eq (position (skS.0 0 a) T) (position (skS.0 0 a) T0))
% 19.23/19.44 False
% 19.23/19.44 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 19.23/19.44 Eq
% 19.23/19.44 (Not
% 19.23/19.44 (∀ (T : Iota),
% 19.23/19.44 And (organization (skS.0 0 a)) (greater (age (skS.0 0 a) T) (age (skS.0 0 a) (skS.0 1 a a_1))) →
% 19.23/19.44 Eq (position (skS.0 0 a) T) (position (skS.0 0 a) (skS.0 1 a a_1))))
% 19.23/19.44 True
% 19.23/19.44 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota),
% 19.23/19.44 Eq
% 19.23/19.44 (∀ (T : Iota),
% 19.23/19.44 And (organization (skS.0 0 a)) (greater (age (skS.0 0 a) T) (age (skS.0 0 a) (skS.0 1 a a_1))) →
% 19.23/19.44 Eq (position (skS.0 0 a) T) (position (skS.0 0 a) (skS.0 1 a a_1)))
% 19.23/19.44 False
% 19.23/19.44 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 19.23/19.44 Eq
% 19.23/19.44 (Not
% 19.23/19.44 (And (organization (skS.0 0 a))
% 19.23/19.44 (greater (age (skS.0 0 a) (skS.0 2 a a_1 a_2)) (age (skS.0 0 a) (skS.0 1 a a_1))) →
% 19.23/19.44 Eq (position (skS.0 0 a) (skS.0 2 a a_1 a_2)) (position (skS.0 0 a) (skS.0 1 a a_1))))
% 19.23/19.44 True
% 19.23/19.44 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota),
% 19.23/19.44 Eq
% 19.23/19.44 (And (organization (skS.0 0 a)) (greater (age (skS.0 0 a) (skS.0 2 a a_1 a_2)) (age (skS.0 0 a) (skS.0 1 a a_1))) →
% 19.23/19.44 Eq (position (skS.0 0 a) (skS.0 2 a a_1 a_2)) (position (skS.0 0 a) (skS.0 1 a a_1)))
% 19.23/19.44 False
% 19.23/19.44 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 19.23/19.44 Eq (And (organization (skS.0 0 a)) (greater (age (skS.0 0 a) (skS.0 2 a a_1 a_2)) (age (skS.0 0 a) (skS.0 1 a a_1))))
% 19.23/19.44 True
% 19.23/19.44 Clause #47 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), Eq (Eq (position (skS.0 0 a) (skS.0 2 a a_1 a_2)) (position (skS.0 0 a) (skS.0 1 a a_1))) False
% 19.23/19.44 Clause #49 (by clausification #[46]): ∀ (a : Iota), Eq (organization (skS.0 0 a)) True
% 19.23/19.44 Clause #100 (by clausification #[6]): ∀ (a : Iota),
% 19.23/19.44 Eq
% 19.23/19.44 (∀ (T0 T : Iota),
% 19.23/19.44 organization a →
% 19.23/19.44 And (greater (external_ties a T) (external_ties a T0) → greater (position a T) (position a T0))
% 19.23/19.44 (Eq (external_ties a T) (external_ties a T0) → Eq (position a T) (position a T0)))
% 19.23/19.44 True
% 19.23/19.44 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota),
% 19.23/19.44 Eq
% 19.23/19.44 (∀ (T : Iota),
% 19.23/19.44 organization a →
% 19.23/19.44 And (greater (external_ties a T) (external_ties a a_1) → greater (position a T) (position a a_1))
% 19.33/19.51 (Eq (external_ties a T) (external_ties a a_1) → Eq (position a T) (position a a_1)))
% 19.33/19.51 True
% 19.33/19.51 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota),
% 19.33/19.51 Eq
% 19.33/19.51 (organization a →
% 19.33/19.51 And (greater (external_ties a a_1) (external_ties a a_2) → greater (position a a_1) (position a a_2))
% 19.33/19.51 (Eq (external_ties a a_1) (external_ties a a_2) → Eq (position a a_1) (position a a_2)))
% 19.33/19.51 True
% 19.33/19.51 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 : Iota),
% 19.33/19.51 Or (Eq (organization a) False)
% 19.33/19.51 (Eq
% 19.33/19.51 (And (greater (external_ties a a_1) (external_ties a a_2) → greater (position a a_1) (position a a_2))
% 19.33/19.51 (Eq (external_ties a a_1) (external_ties a a_2) → Eq (position a a_1) (position a a_2)))
% 19.33/19.51 True)
% 19.33/19.51 Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 : Iota),
% 19.33/19.51 Or (Eq (organization a) False)
% 19.33/19.51 (Eq (Eq (external_ties a a_1) (external_ties a a_2) → Eq (position a a_1) (position a a_2)) True)
% 19.33/19.51 Clause #106 (by clausification #[104]): ∀ (a a_1 a_2 : Iota),
% 19.33/19.51 Or (Eq (organization a) False)
% 19.33/19.51 (Or (Eq (Eq (external_ties a a_1) (external_ties a a_2)) False) (Eq (Eq (position a a_1) (position a a_2)) True))
% 19.33/19.51 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 : Iota),
% 19.33/19.51 Or (Eq (organization a) False)
% 19.33/19.51 (Or (Eq (Eq (position a a_1) (position a a_2)) True) (Ne (external_ties a a_1) (external_ties a a_2)))
% 19.33/19.51 Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 : Iota),
% 19.33/19.51 Or (Eq (organization a) False)
% 19.33/19.51 (Or (Ne (external_ties a a_1) (external_ties a a_2)) (Eq (position a a_1) (position a a_2)))
% 19.33/19.51 Clause #109 (by forward contextual literal cutting #[108, 26]): ∀ (a a_1 a_2 : Iota), Or (Eq (organization a) False) (Eq (position a a_1) (position a a_2))
% 19.33/19.51 Clause #110 (by superposition #[109, 49]): ∀ (a a_1 a_2 : Iota), Or (Eq (position (skS.0 0 a) a_1) (position (skS.0 0 a) a_2)) (Eq False True)
% 19.33/19.51 Clause #153 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Ne (position (skS.0 0 a) (skS.0 2 a a_1 a_2)) (position (skS.0 0 a) (skS.0 1 a a_1))
% 19.33/19.51 Clause #8253 (by clausification #[110]): ∀ (a a_1 a_2 : Iota), Eq (position (skS.0 0 a) a_1) (position (skS.0 0 a) a_2)
% 19.33/19.51 Clause #8254 (by backward contextual literal cutting #[8253, 153]): False
% 19.33/19.51 SZS output end Proof for theBenchmark.p
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