TSTP Solution File: NUM405+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% 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 10:55:29 EDT 2023
% Result : Theorem 7.95s 8.16s
% Output : Proof 7.95s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 12:29:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 7.95/8.16 SZS status Theorem for theBenchmark.p
% 7.95/8.16 SZS output start Proof for theBenchmark.p
% 7.95/8.16 Clause #25 (by assumption #[]): Eq (∀ (A : Iota), Exists fun B => ∀ (C : Iota), Iff (in C B) (And (in C A) (ordinal C))) True
% 7.95/8.16 Clause #28 (by assumption #[]): Eq (∀ (A : Iota), Not (∀ (B : Iota), Iff (in B A) (ordinal B))) True
% 7.95/8.16 Clause #29 (by assumption #[]): Eq (Not (∀ (A : Iota), Not (∀ (B : Iota), ordinal B → in B A))) True
% 7.95/8.16 Clause #81 (by clausification #[29]): Eq (∀ (A : Iota), Not (∀ (B : Iota), ordinal B → in B A)) False
% 7.95/8.16 Clause #82 (by clausification #[81]): ∀ (a : Iota), Eq (Not (Not (∀ (B : Iota), ordinal B → in B (skS.0 4 a)))) True
% 7.95/8.16 Clause #83 (by clausification #[82]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), ordinal B → in B (skS.0 4 a))) False
% 7.95/8.16 Clause #84 (by clausification #[83]): ∀ (a : Iota), Eq (∀ (B : Iota), ordinal B → in B (skS.0 4 a)) True
% 7.95/8.16 Clause #85 (by clausification #[84]): ∀ (a a_1 : Iota), Eq (ordinal a → in a (skS.0 4 a_1)) True
% 7.95/8.16 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota), Or (Eq (ordinal a) False) (Eq (in a (skS.0 4 a_1)) True)
% 7.95/8.16 Clause #140 (by clausification #[28]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), Iff (in B a) (ordinal B))) True
% 7.95/8.16 Clause #141 (by clausification #[140]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (in B a) (ordinal B)) False
% 7.95/8.16 Clause #142 (by clausification #[141]): ∀ (a a_1 : Iota), Eq (Not (Iff (in (skS.0 9 a a_1) a) (ordinal (skS.0 9 a a_1)))) True
% 7.95/8.16 Clause #143 (by clausification #[142]): ∀ (a a_1 : Iota), Eq (Iff (in (skS.0 9 a a_1) a) (ordinal (skS.0 9 a a_1))) False
% 7.95/8.16 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota), Or (Eq (in (skS.0 9 a a_1) a) False) (Eq (ordinal (skS.0 9 a a_1)) False)
% 7.95/8.16 Clause #145 (by clausification #[143]): ∀ (a a_1 : Iota), Or (Eq (in (skS.0 9 a a_1) a) True) (Eq (ordinal (skS.0 9 a a_1)) True)
% 7.95/8.16 Clause #212 (by clausification #[25]): ∀ (a : Iota), Eq (Exists fun B => ∀ (C : Iota), Iff (in C B) (And (in C a) (ordinal C))) True
% 7.95/8.16 Clause #213 (by clausification #[212]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), Iff (in C (skS.0 16 a a_1)) (And (in C a) (ordinal C))) True
% 7.95/8.16 Clause #214 (by clausification #[213]): ∀ (a a_1 a_2 : Iota), Eq (Iff (in a (skS.0 16 a_1 a_2)) (And (in a a_1) (ordinal a))) True
% 7.95/8.16 Clause #215 (by clausification #[214]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 16 a_1 a_2)) True) (Eq (And (in a a_1) (ordinal a)) False)
% 7.95/8.16 Clause #216 (by clausification #[214]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 16 a_1 a_2)) False) (Eq (And (in a a_1) (ordinal a)) True)
% 7.95/8.16 Clause #217 (by clausification #[215]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 16 a_1 a_2)) True) (Or (Eq (in a a_1) False) (Eq (ordinal a) False))
% 7.95/8.16 Clause #291 (by clausification #[216]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 16 a_1 a_2)) False) (Eq (ordinal a) True)
% 7.95/8.16 Clause #294 (by superposition #[291, 145]): ∀ (a a_1 a_2 : Iota),
% 7.95/8.16 Or (Eq (ordinal (skS.0 9 (skS.0 16 a a_1) a_2)) True)
% 7.95/8.16 (Or (Eq False True) (Eq (ordinal (skS.0 9 (skS.0 16 a a_1) a_2)) True))
% 7.95/8.16 Clause #447 (by clausification #[294]): ∀ (a a_1 a_2 : Iota),
% 7.95/8.16 Or (Eq (ordinal (skS.0 9 (skS.0 16 a a_1) a_2)) True) (Eq (ordinal (skS.0 9 (skS.0 16 a a_1) a_2)) True)
% 7.95/8.16 Clause #448 (by eliminate duplicate literals #[447]): ∀ (a a_1 a_2 : Iota), Eq (ordinal (skS.0 9 (skS.0 16 a a_1) a_2)) True
% 7.95/8.16 Clause #451 (by superposition #[448, 86]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (in (skS.0 9 (skS.0 16 a a_1) a_2) (skS.0 4 a_3)) True)
% 7.95/8.16 Clause #460 (by clausification #[451]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 9 (skS.0 16 a a_1) a_2) (skS.0 4 a_3)) True
% 7.95/8.16 Clause #463 (by superposition #[460, 217]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.95/8.16 Or (Eq (in (skS.0 9 (skS.0 16 a a_1) a_2) (skS.0 16 (skS.0 4 a_3) a_4)) True)
% 7.95/8.16 (Or (Eq True False) (Eq (ordinal (skS.0 9 (skS.0 16 a a_1) a_2)) False))
% 7.95/8.16 Clause #634 (by clausification #[463]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.95/8.16 Or (Eq (in (skS.0 9 (skS.0 16 a a_1) a_2) (skS.0 16 (skS.0 4 a_3) a_4)) True)
% 7.95/8.16 (Eq (ordinal (skS.0 9 (skS.0 16 a a_1) a_2)) False)
% 7.95/8.16 Clause #635 (by forward demodulation #[634, 448]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.95/8.16 Or (Eq (in (skS.0 9 (skS.0 16 a a_1) a_2) (skS.0 16 (skS.0 4 a_3) a_4)) True) (Eq True False)
% 7.95/8.16 Clause #636 (by clausification #[635]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (in (skS.0 9 (skS.0 16 a a_1) a_2) (skS.0 16 (skS.0 4 a_3) a_4)) True
% 7.95/8.16 Clause #638 (by superposition #[636, 144]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (ordinal (skS.0 9 (skS.0 16 (skS.0 4 a) a_1) a_2)) False)
% 7.95/8.16 Clause #642 (by clausification #[638]): ∀ (a a_1 a_2 : Iota), Eq (ordinal (skS.0 9 (skS.0 16 (skS.0 4 a) a_1) a_2)) False
% 7.95/8.16 Clause #643 (by superposition #[642, 448]): Eq False True
% 7.95/8.16 Clause #644 (by clausification #[643]): False
% 7.95/8.16 SZS output end Proof for theBenchmark.p
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