TSTP Solution File: PUZ081^2 by Duper---1.0
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% File : Duper---1.0
% Problem : PUZ081^2 : TPTP v8.1.2. Bugfixed v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 13:14:40 EDT 2023
% Result : Theorem 3.76s 3.95s
% Output : Proof 3.81s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PUZ081^2 : TPTP v8.1.2. Bugfixed v7.1.0.
% 0.00/0.15 % Command : duper %s
% 0.19/0.37 % Computer : n018.cluster.edu
% 0.19/0.37 % Model : x86_64 x86_64
% 0.19/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.37 % Memory : 8042.1875MB
% 0.19/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37 % CPULimit : 300
% 0.19/0.37 % WCLimit : 300
% 0.19/0.37 % DateTime : Sat Aug 26 22:19:15 EDT 2023
% 0.19/0.37 % CPUTime :
% 3.76/3.95 SZS status Theorem for theBenchmark.p
% 3.76/3.95 SZS output start Proof for theBenchmark.p
% 3.76/3.95 Clause #0 (by assumption #[]): Eq (∀ (P : Iota), Not (Iff (knight P) (knave P))) True
% 3.76/3.95 Clause #2 (by assumption #[]): Eq (∀ (P : Iota) (S : Prop), And (knave P) (says P S) → Not S) True
% 3.76/3.95 Clause #3 (by assumption #[]): Eq (says zoey (knave mel)) True
% 3.76/3.95 Clause #5 (by assumption #[]): Eq
% 3.76/3.95 (Not
% 3.76/3.95 (Exists fun TZ =>
% 3.76/3.95 Exists fun TM =>
% 3.76/3.95 And (And (And (Or (Eq TZ knight) (Eq TZ knave)) (Or (Eq TM knight) (Eq TM knave))) (TZ zoey)) (TM mel)))
% 3.76/3.95 True
% 3.76/3.95 Clause #6 (by identity loobHoist #[3]): Or (Eq (says zoey True) True) (Eq (knave mel) False)
% 3.76/3.95 Clause #14 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (S : Prop), And (knave a) (says a S) → Not S) True
% 3.76/3.95 Clause #15 (by clausification #[14]): ∀ (a : Iota) (a_1 : Prop), Eq (And (knave a) (says a a_1) → Not a_1) True
% 3.76/3.95 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)
% 3.76/3.95 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))
% 3.76/3.95 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))
% 3.76/3.95 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)))
% 3.76/3.95 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))
% 3.76/3.95 Clause #22 (by clausification #[0]): ∀ (a : Iota), Eq (Not (Iff (knight a) (knave a))) True
% 3.76/3.95 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (Iff (knight a) (knave a)) False
% 3.76/3.95 Clause #25 (by clausification #[23]): ∀ (a : Iota), Or (Eq (knight a) True) (Eq (knave a) True)
% 3.76/3.95 Clause #31 (by superposition #[25, 6]): Or (Eq (knight mel) True) (Or (Eq (says zoey True) True) (Eq True False))
% 3.76/3.95 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)))
% 3.76/3.95 Clause #33 (by clausification #[31]): Or (Eq (knight mel) True) (Eq (says zoey True) True)
% 3.76/3.95 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))
% 3.76/3.95 Clause #40 (by falseElim #[35]): ∀ (a : Iota), Or (Eq (knight a) True) (Eq (says a True) False)
% 3.76/3.95 Clause #41 (by clausification #[5]): Eq
% 3.76/3.95 (Exists fun TZ =>
% 3.76/3.95 Exists fun TM =>
% 3.76/3.95 And (And (And (Or (Eq TZ knight) (Eq TZ knave)) (Or (Eq TM knight) (Eq TM knave))) (TZ zoey)) (TM mel))
% 3.76/3.95 False
% 3.76/3.95 Clause #42 (by clausification #[41]): ∀ (a : Iota → Prop),
% 3.76/3.95 Eq
% 3.76/3.95 (Exists fun TM =>
% 3.76/3.95 And (And (And (Or (Eq a knight) (Eq a knave)) (Or (Eq TM knight) (Eq TM knave))) (a zoey)) (TM mel))
% 3.76/3.95 False
% 3.76/3.95 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota → Prop),
% 3.76/3.95 Eq (And (And (And (Or (Eq a knight) (Eq a knave)) (Or (Eq a_1 knight) (Eq a_1 knave))) (a zoey)) (a_1 mel)) False
% 3.76/3.95 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota → Prop),
% 3.76/3.95 Or (Eq (And (And (Or (Eq a knight) (Eq a knave)) (Or (Eq a_1 knight) (Eq a_1 knave))) (a zoey)) False)
% 3.76/3.95 (Eq (a_1 mel) False)
% 3.76/3.95 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota → Prop),
% 3.76/3.95 Or (Eq (a mel) False)
% 3.76/3.95 (Or (Eq (And (Or (Eq a_1 knight) (Eq a_1 knave)) (Or (Eq a knight) (Eq a knave))) False) (Eq (a_1 zoey) False))
% 3.76/3.95 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota → Prop),
% 3.76/3.95 Or (Eq (a mel) False)
% 3.76/3.95 (Or (Eq (a_1 zoey) False)
% 3.76/3.95 (Or (Eq (Or (Eq a_1 knight) (Eq a_1 knave)) False) (Eq (Or (Eq a knight) (Eq a knave)) False)))
% 3.76/3.95 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota → Prop),
% 3.76/3.95 Or (Eq (a mel) False)
% 3.76/3.95 (Or (Eq (a_1 zoey) False) (Or (Eq (Or (Eq a knight) (Eq a knave)) False) (Eq (Eq a_1 knave) False)))
% 3.76/3.95 Clause #48 (by clausification #[46]): ∀ (a a_1 : Iota → Prop),
% 3.76/3.95 Or (Eq (a mel) False)
% 3.76/3.95 (Or (Eq (a_1 zoey) False) (Or (Eq (Or (Eq a knight) (Eq a knave)) False) (Eq (Eq a_1 knight) False)))
% 3.76/3.95 Clause #50 (by clausification #[47]): ∀ (a a_1 : Iota → Prop),
% 3.81/3.97 Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Eq (Eq a_1 knave) False) (Eq (Eq a knight) False)))
% 3.81/3.97 Clause #57 (by superposition #[40, 33]): Or (Eq (knight zoey) True) (Or (Eq (knight mel) True) (Eq False True))
% 3.81/3.97 Clause #58 (by clausification #[57]): Or (Eq (knight zoey) True) (Eq (knight mel) True)
% 3.81/3.97 Clause #81 (by clausification #[50]): ∀ (a a_1 : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Eq (Eq a knight) False) (Ne a_1 knave)))
% 3.81/3.97 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Ne a_1 knave) (Ne a knight)))
% 3.81/3.97 Clause #83 (by destructive equality resolution #[82]): ∀ (a : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (knave zoey) False) (Ne a knight))
% 3.81/3.97 Clause #84 (by destructive equality resolution #[83]): Or (Eq (knight mel) False) (Eq (knave zoey) False)
% 3.81/3.97 Clause #85 (by clausification #[48]): ∀ (a a_1 : Iota → Prop),
% 3.81/3.97 Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Eq (Eq a_1 knight) False) (Eq (Eq a knave) False)))
% 3.81/3.97 Clause #86 (by clausification #[48]): ∀ (a a_1 : Iota → Prop),
% 3.81/3.97 Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Eq (Eq a_1 knight) False) (Eq (Eq a knight) False)))
% 3.81/3.97 Clause #87 (by clausification #[85]): ∀ (a a_1 : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Eq (Eq a knave) False) (Ne a_1 knight)))
% 3.81/3.97 Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Ne a_1 knight) (Ne a knave)))
% 3.81/3.97 Clause #89 (by destructive equality resolution #[88]): ∀ (a : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (knight zoey) False) (Ne a knave))
% 3.81/3.97 Clause #90 (by destructive equality resolution #[89]): Or (Eq (knave mel) False) (Eq (knight zoey) False)
% 3.81/3.97 Clause #91 (by superposition #[90, 25]): Or (Eq (knight zoey) False) (Or (Eq (knight mel) True) (Eq False True))
% 3.81/3.97 Clause #92 (by clausification #[91]): Or (Eq (knight zoey) False) (Eq (knight mel) True)
% 3.81/3.97 Clause #93 (by superposition #[92, 58]): Or (Eq (knight mel) True) (Or (Eq False True) (Eq (knight mel) True))
% 3.81/3.97 Clause #94 (by clausification #[93]): Or (Eq (knight mel) True) (Eq (knight mel) True)
% 3.81/3.97 Clause #95 (by eliminate duplicate literals #[94]): Eq (knight mel) True
% 3.81/3.97 Clause #101 (by backward demodulation #[95, 84]): Or (Eq True False) (Eq (knave zoey) False)
% 3.81/3.97 Clause #112 (by clausification #[86]): ∀ (a a_1 : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Eq (Eq a knight) False) (Ne a_1 knight)))
% 3.81/3.97 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (a_1 zoey) False) (Or (Ne a_1 knight) (Ne a knight)))
% 3.81/3.97 Clause #114 (by destructive equality resolution #[113]): ∀ (a : Iota → Prop), Or (Eq (a mel) False) (Or (Eq (knight zoey) False) (Ne a knight))
% 3.81/3.97 Clause #115 (by destructive equality resolution #[114]): Or (Eq (knight mel) False) (Eq (knight zoey) False)
% 3.81/3.97 Clause #116 (by forward demodulation #[115, 95]): Or (Eq True False) (Eq (knight zoey) False)
% 3.81/3.97 Clause #117 (by clausification #[116]): Eq (knight zoey) False
% 3.81/3.97 Clause #119 (by clausification #[101]): Eq (knave zoey) False
% 3.81/3.97 Clause #120 (by superposition #[119, 25]): Or (Eq (knight zoey) True) (Eq False True)
% 3.81/3.97 Clause #121 (by clausification #[120]): Eq (knight zoey) True
% 3.81/3.97 Clause #122 (by superposition #[121, 117]): Eq True False
% 3.81/3.97 Clause #124 (by clausification #[122]): False
% 3.81/3.97 SZS output end Proof for theBenchmark.p
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