0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : duper %s
0.14/0.35	% Computer : n020.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   : 1440
0.14/0.35	% WCLimit    : 180
0.14/0.35	% DateTime   : Mon Jul  3 03:21:46 EDT 2023
0.14/0.35	% CPUTime    : 
3.67/3.84	SZS status Theorem for theBenchmark.p
3.67/3.84	SZS output start Proof for theBenchmark.p
3.67/3.84	Clause #1 (by assumption #[]): Eq (∀ (P : Iota) (S : Prop), And (knight P) (says P S) → S) True
3.67/3.84	Clause #2 (by assumption #[]): Eq (∀ (P : Iota), Not (Iff (knight P) (knave P))) True
3.67/3.84	Clause #3 (by assumption #[]): Eq (says zoey (knave mel)) True
3.67/3.84	Clause #4 (by assumption #[]): Eq (∀ (P : Iota) (S : Prop), And (knave P) (says P S) → Not S) True
3.67/3.84	Clause #5 (by assumption #[]): Eq (Not (Exists fun Knight => Exists fun Knave => And (knave Knave) (knight Knight))) True
3.67/3.84	Clause #6 (by identity loobHoist #[3]): Or (Eq (says zoey True) True) (Eq (knave mel) False)
3.67/3.84	Clause #7 (by identity boolHoist #[3]): Or (Eq (says zoey False) True) (Eq (knave mel) True)
3.67/3.84	Clause #8 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (S : Prop), And (knight a) (says a S) → S) True
3.67/3.84	Clause #9 (by clausification #[8]): ∀ (a : Iota) (a_1 : Prop), Eq (And (knight a) (says a a_1) → a_1) True
3.67/3.84	Clause #10 (by clausification #[9]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (And (knight a) (says a a_1)) False) (Eq a_1 True)
3.67/3.84	Clause #11 (by clausification #[10]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Or (Eq (knight a_1) False) (Eq (says a_1 a) False))
3.67/3.84	Clause #13 (by identity boolHoist #[11]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Or (Eq (knight a_1) False) (Or (Eq (says a_1 False) False) (Eq a True)))
3.67/3.84	Clause #14 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (S : Prop), And (knave a) (says a S) → Not S) True
3.67/3.84	Clause #15 (by clausification #[14]): ∀ (a : Iota) (a_1 : Prop), Eq (And (knave a) (says a a_1) → Not a_1) True
3.67/3.84	Clause #16 (by clausification #[15]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (And (knave a) (says a a_1)) False) (Eq (Not a_1) True)
3.67/3.84	Clause #17 (by clausification #[16]): ∀ (a : Prop) (a_1 : Iota), Or (Eq (Not a) True) (Or (Eq (knave a_1) False) (Eq (says a_1 a) False))
3.67/3.84	Clause #18 (by clausification #[17]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knave a) False) (Or (Eq (says a a_1) False) (Eq a_1 False))
3.67/3.84	Clause #19 (by identity loobHoist #[18]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knave a) False) (Or (Eq a_1 False) (Or (Eq (says a True) False) (Eq a_1 False)))
3.67/3.84	Clause #21 (by eliminate duplicate literals #[19]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knave a) False) (Or (Eq a_1 False) (Eq (says a True) False))
3.67/3.84	Clause #22 (by clausification #[2]): ∀ (a : Iota), Eq (Not (Iff (knight a) (knave a))) True
3.67/3.84	Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (Iff (knight a) (knave a)) False
3.67/3.84	Clause #25 (by clausification #[23]): ∀ (a : Iota), Or (Eq (knight a) True) (Eq (knave a) True)
3.67/3.84	Clause #31 (by superposition #[25, 6]): Or (Eq (knight mel) True) (Or (Eq (says zoey True) True) (Eq True False))
3.67/3.84	Clause #32 (by superposition #[25, 21]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knight a) True) (Or (Eq True False) (Or (Eq a_1 False) (Eq (says a True) False)))
3.67/3.84	Clause #33 (by clausification #[31]): Or (Eq (knight mel) True) (Eq (says zoey True) True)
3.67/3.84	Clause #34 (by eliminate duplicate literals #[13]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Or (Eq (knight a_1) False) (Eq (says a_1 False) False))
3.67/3.84	Clause #35 (by clausification #[32]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (knight a) True) (Or (Eq a_1 False) (Eq (says a True) False))
3.67/3.84	Clause #40 (by falseElim #[35]): ∀ (a : Iota), Or (Eq (knight a) True) (Eq (says a True) False)
3.67/3.84	Clause #41 (by clausification #[5]): Eq (Exists fun Knight => Exists fun Knave => And (knave Knave) (knight Knight)) False
3.67/3.84	Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (Exists fun Knave => And (knave Knave) (knight a)) False
3.67/3.84	Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (And (knave a) (knight a_1)) False
3.67/3.84	Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Or (Eq (knave a) False) (Eq (knight a_1) False)
3.67/3.84	Clause #45 (by superposition #[44, 25]): ∀ (a a_1 : Iota), Or (Eq (knight a) False) (Or (Eq (knight a_1) True) (Eq False True))
3.67/3.84	Clause #47 (by superposition #[40, 33]): Or (Eq (knight zoey) True) (Or (Eq (knight mel) True) (Eq False True))
3.67/3.84	Clause #48 (by clausification #[47]): Or (Eq (knight zoey) True) (Eq (knight mel) True)
3.67/3.85	Clause #50 (by clausification #[45]): ∀ (a a_1 : Iota), Or (Eq (knight a) False) (Eq (knight a_1) True)
3.67/3.85	Clause #51 (by superposition #[50, 48]): ∀ (a : Iota), Or (Eq (knight a) True) (Or (Eq False True) (Eq (knight mel) True))
3.67/3.85	Clause #52 (by clausification #[51]): ∀ (a : Iota), Or (Eq (knight a) True) (Eq (knight mel) True)
3.67/3.85	Clause #57 (by equality factoring #[52]): Or (Ne True True) (Eq (knight mel) True)
3.67/3.85	Clause #58 (by clausification #[57]): Or (Eq (knight mel) True) (Or (Eq True False) (Eq True False))
3.67/3.85	Clause #60 (by clausification #[58]): Or (Eq (knight mel) True) (Eq True False)
3.67/3.85	Clause #61 (by clausification #[60]): Eq (knight mel) True
3.67/3.85	Clause #64 (by superposition #[61, 50]): ∀ (a : Iota), Or (Eq True False) (Eq (knight a) True)
3.67/3.85	Clause #69 (by clausification #[64]): ∀ (a : Iota), Eq (knight a) True
3.67/3.85	Clause #71 (by backward demodulation #[69, 34]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Or (Eq True False) (Eq (says a_1 False) False))
3.67/3.85	Clause #75 (by clausification #[71]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a True) (Eq (says a_1 False) False)
3.67/3.85	Clause #76 (by superposition #[75, 7]): ∀ (a : Prop), Or (Eq a True) (Or (Eq False True) (Eq (knave mel) True))
3.67/3.85	Clause #77 (by clausification #[76]): ∀ (a : Prop), Or (Eq a True) (Eq (knave mel) True)
3.67/3.85	Clause #86 (by equality factoring #[77]): Or (Ne True True) (Eq (knave mel) True)
3.67/3.85	Clause #87 (by clausification #[86]): Or (Eq (knave mel) True) (Or (Eq True False) (Eq True False))
3.67/3.85	Clause #89 (by clausification #[87]): Or (Eq (knave mel) True) (Eq True False)
3.67/3.85	Clause #90 (by clausification #[89]): Eq (knave mel) True
3.67/3.85	Clause #94 (by superposition #[90, 44]): ∀ (a : Iota), Or (Eq True False) (Eq (knight a) False)
3.67/3.85	Clause #95 (by clausification #[94]): ∀ (a : Iota), Eq (knight a) False
3.67/3.85	Clause #96 (by superposition #[95, 69]): Eq False True
3.67/3.85	Clause #97 (by clausification #[96]): False
3.67/3.85	SZS output end Proof for theBenchmark.p
3.67/3.86	EOF